text:
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Sunday Excerpt, "Crucible" @Solsticepublish, @Solsticeshadows
"Linvin, step forward," Mandrean ordered. Releasing his uncle's hand, Linvin boldly walked into the middle of the map on the floor and harshly threw the nearby pawns out of the way. He stood with his hands on his hips and a furious expression on his face.
The emperor observed him for a moment. "Hmmm. Somehow I thought you would appear more impressive. No matter."
Mandrean began reading aloud from the scroll. "An assassin was dispatched to Valia. When he arrived Linvin had already left. He did, however, learn a great deal about our distinguished guest. After studying with Sedemihcra for a number of years, Linvin joined the Valian Army. He served with distinction and advanced through the ranks at an unprecedented rate. The half-elf Sedemihcra called his Greatest Student Ever became Supreme Commander of the Combined Armies of Valia.
"For years we had sent armaments to the Swamp Goblins in the Southern Marshes in hopes of destabilizing Valia. Despite all our efforts including training their warlords, the man you see before you checked us at every turn with meager resources. At one point the goblins even managed to lay siege to the capital, but Grithinshield dealt them a crushing blow with a minimal force at his command. In all he won over a dozen major battles and earned the honorary title 'Defender of Valia'. After winning three startling victories to completely crush the largest invasion attempt to date, Grithinshield abandoned his men and resigned his commission."
Mandrean looked at Linvin in disgust. "You were at the peak of your power and you quit? It says here King Hardurian even offered to adopt you as a son and make you his heir. Even then you refused and asked to be discharged. For a man who is reported to be a genius on the battlefield, you certainly have no grasp of politics."
Linvin remained silent in his rage, not seeking to indulge the inferior man addressing his character. The twins gazed at Linvin in awe. They'd never fully realized the scope of his accomplishments.
Mandrean continued. "By the way. It says here they just completed your statue when my man left Valia. It depicts you on horseback with a sword in one hand and pointing with the other as though you were giving orders. The statue is on a pedestal in the City Square. The whole thing sounds a little ostentatious for my taste but I suppose some people need their ego stroked more than others. Pity you will never see it."
Turning his eyes to the scroll once again Mandrean read aloud. "So you left Valia and returned home just prior to my spy's arrival. With you back in Fraylic there could be no doubt the staff and key were in Grithinshield Manor. Linvin established himself at the head of the Grithinshield commercial empire and entered Society. Even during a gala held at the estate, our agents could not search the grounds thoroughly. We needed someone inside.
"It was about that time Linvin moved out and opened a store in Missandor of Sartan's Elvin County.
Eventually one of the assassins was hired on to the house staff at Grithinshield Manor where she began looking for the items. Once they were located, it was decided his mother must die so as not to alert anyone of their theft. Without wanting to attract attention, it was decided to slowly poison her so her death would look natural. In the confusion of her demise it would be possible to confiscate the items and bring them to me.
"When she finally passed on, however, the staff and key were gone. Her only visitor since the items were last seen was Anvar Greenlith. After ransacking his home the assassins followed the next logical link in the chain. They paid a visit to Missandor to find Linvin Grithinshield. When they arrived, his tree was unoccupied. Another search ensued and nothing was found. A local elf mentioned they'd left town heading south and so the team did so as well. After finding no other reference to their trek to the south they turned north to the next nearest relative, Caritha Greenlith and her pathetic sons Bander and Rander.
"They'd guessed right. Linvin and Anvar had indeed gone there. They recruited the Greenlith boys and set out for the Territory. My agents once again just missed their query. It was clear from local accounts and the information the team already knew the quartette was searching for the Red Sapphire. Necromancer told me one of the uses of the staff was to lead its owner to the gem. Since I had the prize in my possession it would only be a matter of time before the staff and key were brought to me. I recalled the assassins and alerted everyone between here and Sartan of a bounty on you…alive."
Fantasy fiction is my passion. This series embodies my love for a good story and action. You will find it to be many things, but not boring! Read what you love and love what you read...


LISTEN: New Podcast "It's 2018! Watch a Rom-Com!"
Hey hey! We can't wait for you to hear this week's "Undressed" podcast, because we got straight-up fancy with it. Recording at Anchor Labs here in NYC, we're officially spoiled and hope not to have to go back to the old, less profresh setting anytime soon.
We almost titled this episode "We Need to Talk About Pete Davidson" because wow, do we have some thoughts. He showed up in GQ looking very…I believe the kids say, "swervy"? And that was after Esquire had already named the SNL star, and Ariana Grande one-man fan club, as one of a pack of "sleaze chic" trendsetters.
As for where we land on this wind pants with a stoner t-shirt-kinda-vibe look, well, let's just say it helps to be famous if you're going to try to pull it off.
We also covered all the latest Chris news, namelyChris Pratt's tweets (we're against them) and Chris Hemsworth's fake glasses (we're for them).
We're both feeling Netflix's recent deep dive into rom-com land lately. Their latest outing, To All the Boys I've Loved Before, is sweet and simultaneously makes you miss high school and makes you glad you're not in it anymore. Go watch it!
And don't expect much coverage of last night's VMA's as we've decided we're both too old to watch anymore (but very happy for Cardi B opening the show. She looked great on the red carpet!).
And don't forget, you can now support Undressed via the Anchor platform! Help us keep the pod ad-free by subscribing at one of the "less than a beer at a bar in New York" amounts below!


text:
Q: Npm throws 'must have a URL that starts with http: or https:' when installing @angular2-material packages I'm installing @angular2-material/core ( or any other module ) with npm wont let me install any of the modules.
npm ERR! Darwin 15.5.0
npm ERR! argv "/usr/local/bin/node" "/usr/local/bin/npm" "install" "@angular2-material/core"
npm ERR! node v5.11.1
npm ERR! npm  v3.8.6

npm ERR! must have a URL that starts with http: or https:
npm ERR!
npm ERR! If you need help, you may report this error at:
npm ERR!     <https://github.com/npm/npm/issues>

I've tried :
 npm set registry https://registry.npmjs.org/ // https

OR
npm set registry http://registry.npmjs.org/ // http

But It wont work , I raised the issue with material guys but they're saying this is my local issue .
This is really killing me , there is no clue how to fix it at all.
https://github.com/angular/material2/issues/720

A: This is mainly because you've tried multiple registries and now npm is kind of confused , You need to open your .npmrc and remove unnecessary registry paths.
To find your .npmrc :
     npm config ls -l | grep config

You will see something like :
     userconfig /Users/Yourname/.npmrc

Then open that file with your editor and edit and remove extra unnecessary registries .

redpajama_set_name: RedPajamaStackExchange


text:
JAIZ Bank Plc set for private placement
By Franklin Uzor September 30, 2020 NEWS
This call is in a bid to get the support of relevant stakeholders in raising additional capital through private placement.
JAIZ Bank Plc, has announced plans for a private placement that will see the injection of fresh capital into the company, and bring in new investors.
This information is contained in a recent call for Extra-Ordinary General Meeting (EGM), to be held on October 28, 2020, in Abuja; made public and signed by the Bank's Secretary, Mrs. Rukayat Oziama Dahiru. This call is in a bid to get the support of relevant stakeholders in raising additional capital through private placement.
The directors through the meeting, plan to raise an additional N10 billion through private placement and offer for subscription N20 billion ordinary shares of the bank, at the rate of 65 kobo per share to identified investors, all subject to the approval of pre-requisite bodies and regulator
Recall that an earlier article by Nairametrics showed that the bank reported an increase in most of its key indicators for H1, 2020, such as Profit After Tax that rose by 45.3% to N1.1 billion, Gross income which appreciated by 39% to N8 billion, etc.
Jaiz Bank Plc is a non-interest bank, operating based on sharia laws in Nigeria. It is the first non-interest bank established in Nigeria and headquartered in Abuja, the capital city of the country.
Based on its last financials for H1, 2020, JAIZ Bank has estimated total assets worth of N186.6 billion, and currently operates in about 27 branches in Nigeria.
SourceL Nairametrics

redpajama_set_name: RedPajamaCommonCrawl


Are Home Maintenance Contracts For the purpose of Plumbing, Air Conditioning And additionally Heating Needed?
Reliability and trust wearing a service provider is certainly a lot like the wheels of a car: without them you're not going to get someplace. Be it air conditioning, plumbing, or landscaping, in that respect are dozens of businesses (some good, many bad) who are out for you right now hoping which they can convince an individual that they have just you need. You needs to consider you choice for maintenance provider the precise same way you would ponder your choice of per new car with respect to its coat of paint: while the shirt of paint is prestigious to look at it typically does not say a whole lot more or less the engine underneath. It may be this "pages, not the most important cover" approach to settling on a service provider in which will have you ready to read their attitude like a book.
Service Through the Internet: One of your most appropriate tools in the conflict to win good website is the World Extended Web. There are recently dozens of websites very evaluate and keep carry of various maintenance experts and hundreds of blog sites and message boards this will give you "straight from the horse's mouth" takes on the different companies in your area. While it would develop into tempting to say of which the posts that a person read on online blogs and forums and on different group of boards are full from insightful and objective information, much of the duration the people who send on these websites should be simply looking for an excellent excuse to sound contemporary through aggressive and hesitant comments. Don't be featured by just one or perhaps even two negative comments through which completely trash the network. If it appears that the majority of a particular user delivers had an especially a bad experience with an air conditioning service provider and / or a plumber, for instance, consider sending them great e-mail to get increased information about how each of our service affected them. If they are unwilling to finally answer your response, the idea may be a extremely good sign that they wasn't all together too intense about helping their friends to begin with.
To prevent coming back to a flooded house, it is best if you want to have a plumbing maintenance with a local skilled service. Pipe leaks as well bursts are due to finally stress on the lines and these are often times fitted with washing machines, dishwashers and kitchen comes. With a maintenance plan, regular checks and examination is done on generally insulation, quality of liquid supply, pipe connections and in addition has a emergency insurance plan plan to safeguard flooding and burst water pipes. Some of the additional procedures include new direction installation, prevention of backflow, repairing leaks and investigating fixtures, kitchen and home plumbing among a host of other maintenance procedures.
There are typical numerous particulars to health and gas conditioning because have which can be evaluated. This includes air circulation, coolant moreover power elements that need to get to be checked in which to ensure streamlined use linked with air hair conditioners. While Heating inspection forces cleaning created by filters or furnace bit ensuring correct temperature may be sustained. Before the main onset amongst winters, it is ideally to call in company technicians is able to help to positively conduct the inspection on tank-less fluid heaters, electrical furnace coupled with heat air pumps can you should be of sustain.
Similarly getting the air conditioning conditioning tubes and will filter cleaned as well as , monitoring some sort of coolant must be essential earlier than summers start out out. air physical fitness experts are generally of their view which is most city air wellness systems a have been recently in go with for completed 10 years or more should choose to be replaced as a way to cut down on energy costs as being they break down on a regular basis and be needing costly repairs.


This was recently illustrated to me when I was visiting Zimbabwe in March. I got to walk with Courage*, a local Care Worker (Christian volunteer who serves the children in her community) who is only a few years younger than me. As we walked together, I casually asked her why she had chosen to be a Care Worker. She told me some of her story.
There is so much darkness in this world, honestly, I keep thinking there can't be any more layers of brokenness out there (or in me) but then another layer is exposed. The beautiful thing is that I have also been experiencing and witnessing what happens when Jesus' truth and life bursts through.
Please pray for our brothers and sisters here. Fighting the darkness is no easy task. No wonder the Bible refers to it as a spiritual battle.
Please pray that you and I will be able to bring light to the darkness, wherever we are.


Good morning, everyone! Nice to see you again here in the blog about Omega watches! I personally think that British style is very welcome among the whole world, and this element is widely used in many things, like architecture, decorations, clothing, bags, ornaments, as well as watches. In today's post, you will see such attractive watches copy Omega Constellation Globemaster 130.33.39.21.03.001.
They are made from steel, steel cases, fixed flutes steel bezels and screw-down steel crowns, which can guarantee water resistance to 330 feet. Besides, the well-designed replica Omega watches have blue leather straps matched with blue dials, which are very harmonious.
On the blue dials of the 39 mm fake watches, there are remarkable steel hour marks and hands covered with white luminant coatings, clear white scales and small date windows at 6 o'clock. The dials are open-and-shut and easy-to-read. Furthermore, you can see the excellent movements from the transparent backs of the watches. The self-winding mechanical movements can provide 60 hours power reserve and resist magnetic field up to 15,000 gauss.
To sum up, the excellent copy watches have both beautiful appearances and wonderful performances. And the watches are designed for males, with the watches on their wrists, the men will be more charming.


Sholing is a vibrant and welcoming school and it promotes a challenging learning environment that inspires children to achieve high standards. Through many opportunities to learn creatively and explore imaginative ideas our children are encouraged to think deeply about their learning.
The staff work as a team, continually reviewing progress and exploring new strategies to inspire our young learners. We recognise the importance of capturing the energy and enthusiasm of children at an early age so that they become lifelong learners who are able to achieve more than they thought they could.
We are proud of the behaviour of our children who are encouraged to express their thoughts and feelings with courtesy and confidence. We want children to develop a wide range of personal qualities – curiosity, self-discipline, courage, honesty, sensitivity, perseverance and independence and to achieve this we provide opportunities to reflect and talk openly about a range of issues both personal and of the wider community.
This is Sholing Junior School: an adventure for the mind and a home for the heart.


Monitoring event logs in Windows container deployed on Docker or Kubernetes.
Monitoring event log on Windows virtual machine or host.
These scenarios are useful for monitoring specific records from OS or your applications and cannot be collected by container orchestrators like Docker or Kubernetes.
Minimal performance impact – query Windows event logs within a period of time is the most efficient technique with near zero CPU cost.
Portability across Windows platform – Windows event log records can accessed using WMI locally or remotely.
Cloud-native collection – Sonar supports exposing collected records from Windows event log to InfluxDb (via UDP).
Deployment symmetry – Sonar agent can be deployed as Windows service on container (including NanoServer with process isolation) or target host.
InfluxDb is required for storing metrics collected by Sonar.
Sonar deployment in container requires configuring query for selection records from Windows event logs that should be scraped on periodic intervals.
At runtime, Sonar will resolve values from the Kubernetes secrets file to instead of main configuration file. The full example is available in Helm chart for Sonar.
<add name="myserver" url="http://nanotest03:5985/wsman"  timeoutMilliseconds="3000" authType="Negotiate" forceBasic="false"
<add name="myserver" url="https://nanotest03:5985/wsman" timeoutMilliseconds="3000" authType="Basic" forceBasic="true"
Note that username and password attributes for a server element are optional, because credentials are specified for each WMI adapter.
filter="select TimeGenerated,Message,EventCode,ComputerName,SourceName,EventType from Win32_NTLogEvent where TimeGenerated > timeshift(15s) and LogFile='Security' and EventType!=0"
Time stamp from event record is mapped to the event time field. This allows to avoid duplicating event for the same record if it has been returned by multiple queries.
Event record properties for grouping events are converted to tags.
Expression function timeshift(duration) is used by Sonar at the time it executes WMI query.
The names of input and output adapter (WS-Management and InfluxDb respectively) do match names of connection strings described above.
The graph on the right shows scrape performance in milliseconds for event record collection. The event rate time in milliseconds indicates that Sonar consumed minimal CPU resources to query Windows event logs.


text:
De Lima says prosecution plan to amend charges a sign of weak case
By: Pathricia Ann V. Roxas - Reporter / @PathRoxasINQ
INQUIRER.net / 04:59 PM October 19, 2017
Sen. Leila De Lima
INQUIRER FILE PHOTO/LYN RILLON
The State prosecutors' plan to revise the drug trafficking charges they filed against Senator Leila De Lima is an "admission of their lack of evidence," the senator said on Thursday.
"It is ironic that, on paper, it looks like I lost my case before the Supreme Court. In truth, however, because of my petition, my persecutors have now implicitly admitted that they have no evidence to charge me," De Lima said in a statement.
Justice Secretary Vitaliano Aguirre II disclosed on Wednesday that the prosecutors' planned amendment was based on Solicitor General Jose Calida's position during the oral arguments on De Lima's petition in the Supreme Court.
Calida said that instead of being charged for violating Section 5 of Republic Act No. 9165, or the Comprehensive Dangerous Drugs Act of 2002, De Lima should have been charged with violating Section 26.
Section 26 pertains to "any attempt or conspiracy to import, sell, trade, administer, dispense, deliver, distribute and transport illegal drugs, and maintain a drug den, produce narcotics and cultivate sources of illicit substances."
Section 5, meanwhile, prohibits the "sale, trading, administration, dispensation, delivery, distribution and transportation of dangerous drugs and/or controlled precursors and essential chemicals."
READ: Prosecutors to amend charges vs De Lima
De Lima, who has been detained at the Philippine National Police (PNP) Custodial Center at Camp Crame, Quezon City since February, said this fact was already made "painfully and starkly obvious" during the earlier oral arguments last March.
"Back then, I, thru my lawyers confronted my persecutors with the fact that there was no allegation, much less proof, of the corpus delicti of the offense of illegal drug trading that I was being charged with," the senator said.
"No drugs, no proof of the sale thereof. Nothing. Not even proof of the alleged billions of pesos I allegedly received; not even after Aguirre announced in public that I allegedly had hundreds of millions of pesos in banks; and certainly not after he attempted – and failed – to force former employees to falsely testify against me," she added.
De Lima said the sudden revision on the charges against her was a "glaringly clear, single-minded, over-eagerness to indict her for a crime she did not commit."
"This is wrong. And this is dangerous. Let no man or woman abide this deed," the senator said. /jpv
5.1-magnitude quake hits Ilocos Sur; aftershocks expected
TAGS: court case, De Lima, detention, Drugs, Evidence


Nearly half of all Americans (48.4%) participated in at least one outdoor activity in 2015. That equates to 142.4 million participants, who went on a collective 11.7 billion outdoor outings.
Those remarkable stats come from the 2016 Outdoor Recreation Participation Report issued by The Outdoor Foundation, a national not-for-profit organization. The detailed survey that forms the basis of the report is produced by the Physical Activity Council, which is a partnership of numerous organization in the U.S. sports, fitness and leisure industries.
Survey results are weighted and balanced to reflect the total U.S. population ages 6 and above, which equates to 249,141,895 people.
What are you doing to put your products and services in front of America's huge market of outdoor enthusiasts? If you'd like to explore new avenues, Realtree can help. Check out these case studies of companies who have expanded their distribution and sales through the power of licensing with Realtree. If you'd like to do the same get in touch with us and let's talk.


text:
The Sea Hawk (1924), een Amerikaanse film van Frank Lloyd
 The Sea Hawk (1940), een Amerikaanse film van Michael Curtiz

redpajama_set_name: RedPajamaWikipedia


text:
Call to be more helpful to emergency services
"I can't believe what ignorance I witnessed to ambulance drivers."
Isaac AsheDeputy Social Media Editor
Sign up to FREE daily email alerts from hinckleytimes - weekly
A resident is calling on motorists to be more considerate of the emergency services after witnessing first hand the problems ambulance drivers face.
The 29-year-old, who did not wish to be named, had to sit in the front of an ambulance with the driver on the way to hospital in Coventry after her 62-year-old father was taken ill at around 7pm on a Saturday earlier this month.
And she was disturbed by how hard drivers make it from ambulances to make a safe passage through the town.
She said: "I can't believe what ignorance I witnessed to ambulance drivers.
"My dad had a problem with his head therefore sirens were only used approaching and at junctions. The same would happen for an elderly person or a child to not frighten them.
"The blue lights were on, however, people still didn't move out the way and sometimes when they did they pulled the wrong way.
"If an ambulance with blue lights is going at a steady pace it's still an emergency - it doesn't warrant you to try and speed up or even overtake!
"The ambulance driver said if a blue light is on regardless of sirens and speed then you should slow down safely and pull to the left as much as you can.
"Please keep this in mind in future it could be your relative next time in the ambulance being held up - sometimes those minutes mean everything."
Tim Hargraves, East Midlands Ambulance Service team leader in Leicestershire, said: "In a life threatening emergency seconds count.
"People often panic when they see us approaching, my advice would be to keep calm, look and listen. Look around you for somewhere that is safe to pull over so we can get through because your courtesy could help us to save a life."
thehinckleytimes
Follow @hinckleytimes


The Rice baseball team will play four fall exhibition games.
The schedule includes exhibitions against two teams (TCU and Sam Houston State) that made the NCAA Tournament last season. Sam Houston State eliminated the Owls in the Houston Regional.
Oct. 7 Houston Reckling Park 2 p.m.
Oct. 20 Lamar Reckling Park 1 p.m.
Oct. 28 Sam Houston State Reckling Park 1 p.m.


text:
\section{Introduction}
Chiral superconductivity has attracted much interest as a hot topic in condensed matter physics. The pairing in the superconducting state breaks time-reversal symmetry (TRS) and has the nontrivial topology with interesting properties \cite{Topological_insulators_and_superconductors,Kallin,Hasan}.

Experimentally, the chiral $p$-wave is observed in the $A$-phase of the spin-triplet superfluid $^3 \mathrm{He}$~\cite{he3}, and the transition metal oxide $\mathrm{Sr}_2 \mathrm{Ru} \mathrm{O}_4$ is one of the prime candidates~\cite{SRO_1,SRO_2,SRO_3}. On the other hand, the spin-singlet $d_{x^2 - y^2} + id_{xy}$ state ($d+id$ state) is also another chiral superconducting state. Although it has not been confirmed experimentally, there are some potential candidate materials such as heavily doped graphene and SrPtAs~\cite{SrPtAs}.

Doped graphene corresponding to $3/8$ or $5/8$ filling has a density of state (DOS) with logarithmic divergence, which results from the van Hove singularities (VHSs) originating from three inequivalent saddle points where the Fermi surface has a hexagonal geometry with perfect nesting. The renormalization group studies for the Hubbard model~\cite{PRG_Graphen, FRG_Graphen1,FRG_Graphen2} indicate that the $d+id$ state is favored in heavily doped graphene.
On the basis of the mean-field approximation, it is also confirmed that the attractive interaction between nearest-neighbor (NN) sites or next nearest-neighbor (NNN) sites leads to the $d+id$ state in the vicinity of the van Hove (VH) fillings~\cite{chiral_d_Graphen}.

\begin{figure}[t]
\centering
\includegraphics[angle=0,width=8.4cm,height=4.0cm]{./68817Fig1.pdf}
\caption{(Color online) (a) Schematic diagram of the $sd^2$-graphene. The low-energy properties of the bond-centered $\sigma$-states (red points) are effectively described by NN hopping ($-t$) on the kagome lattice (red dashed lines). (b) Energy dispersion of the kagome lattice in the absence of spin-orbit coupling.}
\label{kagome}
\end{figure}

Graphene is composed of $sp^2$ hybridization in carbon, and its low-energy electronic structure is well described by a tight-binding model with the hopping between NN sites on a hexagonal lattice\cite{Graphen}. However, some honeycomb lattice structures consisting of transition metal atoms are composed of ``$sd^2$-hybridization'' and called ``$sd^2$-graphene''~\cite{sd2_Graphen}, where the electron transfers between bond-centered $\sigma$ states on a hexagonal lattice. Therefore, the low-energy property is effectively described by single-orbital hopping between NN sites on the kagome lattice, shown in Fig. \ref{kagome}(a). One of the candidates is a hexagonal $\mathrm{W}$ lattice epitaxially grown on a semiconductor surface\cite{sd2_Graphen}. Transition metal atoms may lead to a large amplitude of the spin-orbit coupling (SOC) compared with graphene.

The single orbital tight-binding model on the kagome lattice with NN hopping has two dispersive bands and a completely dispersionless flat band, which is depicted in Fig. \ref{kagome}(b). The former bands are the same as those in the honeycomb lattice and are hereafter called ``honeycomb bands'', which include VHSs resulting from the saddle points.
The latter band is called ``highest band''.
The spin systems on the kagome lattice show interesting behavior such as the quantum spin liquid in the ground state\cite{kagome1,kagome2,kagome3} due to the characteristic lattice geometry. However, there is also extensive interest in itinerant electron systems on the kagome lattice. In the vicinity of VH fillings on the kagome lattice, short-range repulsive interactions may generate the $d+id$-wave pairing on 3rd NN bonds obtained by the variational cluster approach\cite{VCA_kagome} and the renormalization group studies\cite{Wang2013,Kiesel_1,Kiesel_2}.

In addition, the intrinsic SOC generates rich phases. In the Kane--Mele topological insulator on  the honeycomb lattice\cite{Kane_Mele,Kane_Mele2}, the SOC connects between NNN sites because the two sides are asymmetric about NNN bonds, and the gradient of electrostatic potential appears. However, in the kagome lattice, there is already such an asymmetry about NN bonds.
The singular-mode functional renormalization group study expected that the strong SOC may generate various orders such as magnetism and superconductivity\cite{SMFRG_kagome} in the honeycomb bands.
On the other hand, the dispersionless flat band on the kagome lattice is very sensitive to the presence of the SOC, and generates a large DOS, which may give rise to the superconducting state with a high transition temperature.

On the other hand, thermal Hall conductivity is suitable for investigating the topological property of TRS breaking in superconductors\cite{Thermal_Hall_conductivity}. In the low-temperature limit, thermal Hall conductivity is proportional to temperature and it may also be possible to detect the chiral superconducting state.

In this paper, we focus on the superconducting state in the vicinity of the highest band on the kagome lattice. We calculate thermal Hall conductivity to distinguish the topological aspect of the superconducting state by using the lattice model, and discuss the interplay between the SOC and superconductivity.

The paper is organized as follows. We construct the effective Hamiltonian in Sec. 2. In Sec. 3, we show the normal phase properties induced by the SOC. After that, we show the phase diagram of superconducting states, the temperature dependence of order parameters, and the thermal Hall conductivities in Sec. 4. Conclusions are given in Sec. 5.

\section{Model}
\label{MODEL}
In this section, we introduce the model Hamiltonian in order to discuss the superconducting state on the kagome lattice. Figure \ref{fig_model}(a) shows the lattice structure, which is composed of A, B, and C sublattices. $\bm{a}_1$, $\bm{a}_2$, and $\bm{a}_3$ are the displacement vectors between NN sites. $t$ and $\lambda$ denote the amplitude of the hopping and the SOC between NN sites respectively.

Since short-range repulsive interactions generate the $d+id$-wave pairing between the 3rd NN sites near the VHS in the upper honeycomb band\cite{VCA_kagome,Wang2013}, we introduce the attractive interaction between the same sublattices. The schematic picture is drawn in Fig. 2(b).

\begin{figure}[t]
\begin{center}
\includegraphics[width=8.4cm]{./68817Fig2.pdf}
\caption{(Color online) (a) Structure of kagome lattice. $t$ and $\lambda$ stand for the hopping integral and spin-orbit coupling between NN sites, respectively. $\bm{a}_i~(i=1,2,3)$ represents the displacement vector between NN sites. (b) Attractive interaction between 3rd NN sites. The ellipses correspond to the superconducting pairing $\Delta_{M,i}$ between the same sublattices. }
\label{fig_model}
\end{center}
\end{figure}

The corresponding Hamiltonian is written as
\begin{align}
H = H_{h} + H_{so} + H_a,
\end{align}
with
\begin{align}
\label{Hamiltonian}
H_{h} &= -t \sum_{\left< i,j \right> , \sigma} \left( c_{i\sigma}^\dagger c_{j\sigma}^{ } + \mathrm{H}.c. \right) - \mu \sum_{i,\sigma} n_{i\sigma}^{ }, \nonumber \\
H_{so} &= i\lambda \sum_{\left< i,j\right> , \sigma} \sigma \nu_{ij} c_{i\sigma}^\dagger c_{j\sigma}^{ } + \mathrm{H}.c., \\
H_a &= -U \sum_{\left\{ i,j \right\} ,\sigma} n_{i\sigma}^{ } n_{j\bar{\sigma}}^{ }, \nonumber
\end{align}
where $i$ (and $j$) is the site index including the sublattice index $M(=A,B,C)$. Then $c_{i\sigma}^\dagger (c_{i\sigma}^{ })$ denotes the creation (annihilation) operator for the electron on site $i$ with spin $\sigma = \uparrow , \downarrow$. $n_{i\sigma} = c_{i\sigma}^\dagger c_{i\sigma}^{ }$ is the particle number operator. $\left< i,j\right>$ $(\left\{ i,j \right\})$ stands for the summation for NN (3rd NN) bonds.

$H_{h}$ represents the hopping term between NN sites with the amplitude $t$ and the chemical potential $\mu$. $H_{so}$ represents the intrinsic SOC between NN sites. $\nu_{ij}$ is a factor corresponding to the hopping direction, which is $-1(+1)$ for the clockwise (counterclockwise) direction. $H_a$ represents the attractive interaction on 3rd NN bonds with the amplitude $-U$.
We introduce the BCS-type mean-field approximation to decouple the attractive interaction term assuming the spin-singlet channel.
Then the interaction term $H_a$ is rewritten as
\begin{align}
H_a\approx H_a^{MF} = -U\sum_{\left\{ i,j \right\} , \sigma} \sigma \Delta_{ij} c_{i,\sigma}^\dagger c_{j,-\sigma}^\dagger + \mathrm{H}.c. + const.,
\end{align}
where $\Delta_{ij}$ is the spin-singlet superconducting order parameter defined as
\begin{align}
\label{gap_function}
\Delta_{M,l} \equiv \frac{1}{2}\left[ \left< c_{j,\downarrow}^{ } c_{i,\uparrow}^{ } \right> - \left< c_{j,\uparrow}^{ } c_{i,\downarrow}^{ } \right> \right],
\end{align}
where $M$ and $l$ stand for the sublattice and displacement indices, respectively.

Then, we obtain  the following Bogoliubov--de Gennes (BdG) Hamiltonian in momentum space, yielding the 3rd NN spin-singlet pairing on the kagome lattice,
\begin{align}
\label{BdG}
H_{\mathrm{BdG}} = \frac{1}{2} \sum_{\bm{k},\sigma}  \Psi_{\bm{k},\sigma}^\dagger
\begin{pmatrix}
\hat{\xi}_\sigma(\bm{k}) & \hat{\Delta}_\sigma(\bm{k}) \\
\hat{\Delta}_\sigma(\bm{k})^\dagger & -\hat{\xi}_{-\sigma}(-\bm{k})
\end{pmatrix}
\Psi_{\bm{k},\sigma}^{ },
\end{align}
where the operator $\Psi_{\bm{k},\sigma}^\dagger = \left( \psi_{\bm{k},\sigma}^\dagger , \psi_{-\bm{k},-\sigma}^{ } \right)$ is a six-component Nambu spinor representation with $\psi_{\bm{k},\sigma} = \left( c_{\bm{k},A,\sigma},c_{\bm{k},B,\sigma},c_{\bm{k},C,\sigma} \right)^T$. $c_{\bm{k},M,\sigma}$ denotes the Fourier component of the electron annihilation operator $c_{i,M,\sigma}$.

The diagonal block term $\hat{\xi}_\sigma(\bm{k})$, which describes the energy dispersion resulting from the kinetic term, is given by
\begin{align}
\label{kinetic_term}
\hat{\xi}_\sigma(\bm{k}) =
\begin{pmatrix}
-\mu & \varepsilon_{AB,\sigma}(\bm{k}) & \varepsilon_{AC,\sigma}(\bm{k})\\
\varepsilon_{BA,\sigma}(\bm{k}) & -\mu & \varepsilon_{BC,\sigma}(\bm{k})\\
\varepsilon_{CA,\sigma}(\bm{k}) & \varepsilon_{CB,\sigma}(\bm{k}) & -\mu
\end{pmatrix},
\end{align}
with
\begin{align}
\left\{ \begin{array}{c}
\varepsilon_{AB,\sigma}(\bm{k}) = \left( \varepsilon_{BA,\sigma}(\bm{k})\right)^* = -2(t+i\lambda \sigma) \mathrm{cos}\left(\bm{k}\cdot\bm{a}_1\right) \\
\varepsilon_{BC,\sigma}(\bm{k}) = \left(\varepsilon_{CB,\sigma}(\bm{k})\right)^* = -2(t+i\lambda\sigma)\mathrm{cos}\left(\bm{k}\cdot\bm{a}_2\right) \\
\varepsilon_{CA,\sigma}(\bm{k}) = \left( \varepsilon_{AC,\sigma}(\bm{k})\right)^* = -2(t+i\lambda \sigma) \mathrm{cos}\left(\bm{k}\cdot\bm{a}_3\right)
\end{array} \right..
\end{align}

Moreover, the off-diagonal block term $\hat{\Delta}_\sigma(\bm{k})$ in $H_{\mathrm{BdG}}$, which represents the superconducting order parameter, is given by
\begin{align}
\label{gap_SC}
\hat{\Delta}_\sigma (\bm{k}) =
\begin{pmatrix}
\Delta_{A,\sigma}(\bm{k}) & 0 & 0\\
0 & \Delta_{B,\sigma}(\bm{k}) & 0\\
0 & 0 & \Delta_{C,\sigma}(\bm{k})
\end{pmatrix},
\end{align}
with
\begin{align}
\Delta_{M,\sigma}(\bm{k}) = 2U\sigma\sum_{i=1}^3 \Delta_{M,i} \mathrm{cos}(2\bm{k}\cdot \bm{a}_i),
\end{align}
where the symbols $\Delta_{M,i}$ correspond to the order parameter in Eq. (\ref{gap_function}).

Hereafter, we will define the lattice constants $2\left|\bm{a}_i\right| = a$ and take the physical constants $\hbar$, $e$, $k_{\mathrm{B}}$ and $a$ as unity.

\section{Normal Phase}
First, we discuss physical properties in the normal phase before discussing the superconducting phase.
The band structure, Fermi surface, and topological property are investigated for $U=0$ in this section.

\subsection{Energy dispersion and Fermi surface}
Figure \ref{band_SOC} shows the energy dispersion $E_{\bm k}$ for several choices of $\lambda$ obtained from the diagonalization of $\hat{\xi}_\sigma(\bm{k})$ in Eq. (\ref{kinetic_term}).
In the absence of the SOC, there exist three bands, which consist of  the dispersive honeycomb bands and the highest dispersionless flat band.
The SOC generates the fully opened gap $\Delta_{\mathrm{I}}$ ($\Delta_{\mathrm{II}}$), which is defined by the amplitude between the top of the lower honeycomb (upper honeycomb) band and the bottom of the upper honeycomb (highest) band.

\begin{figure}[t]
	\begin{center}
		\begin{tabular}{c}
			\begin{minipage}{7.0cm}
			\begin{center}
		\includegraphics[width=7.0cm]{./68817Fig3.pdf}
		\caption{(Color online) Energy dispersions for several choices of $\lambda$.
			The black solid, blue solid, and red solid lines correspond to $\lambda/t = 0.0, 0.2$, and $0.4$ respectively.}
		\label{band_SOC}
			\end{center}
			\end{minipage}\\
			\vspace{1.0cm}\\
			\begin{minipage}{7.0cm}
			\begin{center}
			\includegraphics[angle=90,width=7.0cm]{./68817Fig4.pdf}
		\caption{(Color online) Density of states for several choices of $\lambda$. The black, red, and blue lines correspond to $\lambda/t = 0.0,0.2$, and $0.4$, respectively. The inset shows the magnification of the DOS around $\mu/t=2$.}
			\label{DOS}
			\end{center}
			\end{minipage}
		\end{tabular}
		\vspace{-0.8cm}
	\end{center}
\end{figure}

The highest band switches from dispersionless to dispersive owing to the introduction of the SOC, whose amplitude at the K point is independent of $\lambda$ ($E_{\bm k}=2t$), and the M point becomes the saddle point for $\lambda\ne 0$.
The width of the upper honeycomb band is reduced strongly with increasing $\lambda$ and becomes completely flat at $\lambda=\lambda_c (\equiv  t/\sqrt{3} \approx  0.577t)$.
The amplitudes of energy gaps are given by $\Delta_{\mathrm{I}}=\Delta_{\mathrm{II}}=2\sqrt{3}\lambda$ for $\lambda \leq \lambda_c$.
Although further increase in $\lambda$ leads to  $\Delta_{\mathrm{I}}=\Delta_{\mathrm{II}}=3t - \sqrt{3} \lambda $ for $\lambda \geq \lambda_c$, we focus on the case of $\lambda<\lambda_c$ in this study.

Figure \ref{DOS} shows the DOS for several choices of $\lambda$.
There are three characteristic peaks resulting from VHSs at $E=-2\sqrt{t^2+\lambda^2}$, $0$, and $+2\sqrt{t^2+\lambda^2}$.
While peak positions in the lower honeycomb band and highest band shift to lower- and higher-energy sides with increasing $\lambda$,  that in the upper honeycomb band is independent of the amplitude of $\lambda$.
Note that $\mu=\mu_1\equiv -2\sqrt{t^2+\lambda^2}$ and $\mu_2\equiv 0$ correspond to the particle number $\langle n \rangle = 1/4$ and $5/12$,  respectively.
With increasing $\lambda$, the amplitudes of the DOS at VH fillings increase at $\left< n \right> = 1/4$ and $5/12$, as shown in Fig. \ref{DOS}. The latter case ($\left< n \right> = 5/12$) is more remarkable since the SOC reduces strongly the width of the upper honeycomb band.

Moreover, $\mu=\mu_3\equiv +2\sqrt{t^2+\lambda^2}$ corresponds to $\langle n \rangle = 3/4$ except for $\lambda =0$, because in the absence of $\lambda$, the highest band becomes completely flat.
The SOC turns the dispersionless flat band into a dispersive one.
Therefore, the amplitude of the peak at $E=\mu_3$ is more sensitive to the amplitude of $\lambda$ than those at $E=\mu_1$ and $E=\mu_2$.

\begin{figure}[t]
	\begin{center}
		\includegraphics[angle=0,width=7.0cm]{./68817Fig5.pdf}
		\caption{(Color online) Fermi surfaces and energy distributions around Fermi level at van Hove fillings:
			(a) $\langle n \rangle = 1/4$ ($\mu=\mu_1$), (b) $\langle n \rangle = 5/12$ ($\mu=\mu_2$), and (c) $\langle n \rangle = 3/4$ ($\mu=\mu_3$).
			The black solid line represents the 1st Brillouin zone.
			The color scale represents the energy distribution with $\left| E_{\bm{k}} - \mu \right| \le 0.005t$ around the Fermi level at van Hove fillings. }
		\label{FS}
	\end{center}

\end{figure}

Figure \ref{FS} shows Fermi surfaces and energy distributions within the small energy range ($\left| E_{\bm{k}} - \mu \right| \le 0.005t$) around the Fermi level at VH fillings $\left< n \right> = 1/4,5/12$, and $3/4$.
The Fermi surfaces at all VH fillings have the hexagonal structure with the perfect nesting in the honeycomb bands even for $\lambda \ne 0$ and in the highest band except for $\lambda=0$.
With increasing distance from VH fillings and/or the SOC, Fermi surfaces deviate from the hexagonal structure gradually. In particular, the deviation from the hexagonal structure in the upper honeycomb band is larger than that in the lower honeycomb band. It indicates that the number of states around the VH filling in the upper honeycomb band further increases with increasing SOC.

On the other hand, the introduction of the SOC leads to the hexagonal structure of the Fermi surface with the perfect nesting in the highest band.
The distribution of the energy dispersion around the VH filling is enhanced with increasing $\lambda$ depicted in Fig. \ref{FS}(c), which indicates that the amplitude of the DOS decreases.
However, compared with the cases at other VH fillings in the honeycomb bands,  there exists a larger DOS in the weak SOC region. Therefore, the appearance of the $d+id$ state in the highest band is expected for $\lambda \neq 0$ owing to the hexagonal Fermi surface and the large amplitude of DOS.

\subsection{Hall conductivity and Chern number}
\begin{figure}[b]
\begin{center}
\includegraphics[angle=90,width=6cm]{./68817Fig6.pdf}
\caption{(Color online) Spin-dependent Hall conductivity $\sigma_{xy}^{\uparrow (\downarrow)} (\mu)$ for several choices of $\lambda$. The corresponding spin $\sigma=\uparrow(\downarrow)$ is represented by circles (triangles).}
\label{HC}
\end{center}
\end{figure}
In the honeycomb lattice, the SOC connecting NNN bonds induces the fully opened gap. The topologically nontrivial insulating phase appears when the chemical potential lies in the gap\cite{Kane_Mele,Kane_Mele2}. A similar topologically nontrivial insulating phase on the kagome lattice is also proposed by the introduction of the SOC connecting NNN bonds\cite{TI_kagome}.
Thus, we examine the topological properties of the normal phase by calculating the Hall conductivity obtained from the Kubo formula\cite{TKNN,Kohmoto}, which is given by
\begin{align}
\label{Kubo_formula}
\sigma_{xy} = \frac{i}{\gamma N} \sum_{\bm{k},\alpha,\beta} \frac{\left< \alpha \right| \hat{j}_{\bm{k}}^x \left| \beta \right>\left< \beta \right| \hat{j}_{\bm{k}}^y \left| \alpha \right> }{E_{\bm{k}\alpha} - E_{\bm{k}\beta}} \frac{f(E_{\bm{k}\alpha})-f(E_{\bm{k}\beta})}{E_{\bm{k}\alpha} - E_{\bm{k}\beta}},
\end{align}
where $E_{\bm{k}\alpha}$ is the energy eigenvalue of $\hat{\xi}_\sigma (\bm{k})$ with the band index $\alpha$, and the factor $\gamma=\sqrt{3}/2$ denotes the area of the unit cell.
$f(\epsilon) \equiv 1/(\mathrm{e}^{\beta \epsilon} + 1)$ is the Fermi distribution function, and the current operator is defined as $\hat{j}^\mu_{\bm{k}} = \partial H(\bm{k})/\partial k_\mu$ $(\mu=x,y)$.
Since the Hamiltonian in the absence of the attractive interaction with $H(\bm{k})=\hat{\xi}_{\uparrow}(\bm{k})\oplus\hat{\xi}_{\downarrow}(\bm{k})$ conserves the $z$-component of the spin, we calculate the spin-dependent Hall conductivity $\sigma_{xy}^{\uparrow(\downarrow)}$ by using the spin-block Hamiltonian $H_{\uparrow (\downarrow)} (\bm{k}) = \hat{\xi}_{\uparrow (\downarrow)} (\bm{k})$.
Then, the spin-dependent Chern number is defined as
\begin{align}
N_{\mathrm{C},\uparrow(\downarrow)}=2\pi\sigma^{\uparrow(\downarrow)}_{xy}.
\end{align}

Figure \ref{HC} shows the spin-dependent Hall conductivity on the kagome lattice as a function of the chemical potential $\mu$ for several choices of $\lambda$.
When $\mu$ lies in the energy gap $\Delta_{\mathrm{I}}$ or $\Delta_{\mathrm{II}}$, the spin-dependent Chern number has an integer value with $N_{\mathrm{C},\sigma} =\mathrm{sgn}(\sigma)$. Although the total Chern number $N_{\mathrm{C}} (= N_{\mathrm{C},\uparrow} + N_{\mathrm{C},\downarrow})$ vanishes, the spin Chern number $N_{\mathrm{C}}^s$ defined as the difference $ (= N_{\mathrm{C},\uparrow} - N_{\mathrm{C},\downarrow} = +2)$ becomes a nonzero integer. This result indicates that the topologically nontrivial phase appears.
In addition to the topological state at $\mu$ in the gap $\Delta_{\mathrm{I}}$, which is essentially identical to that from the Kane-Mele model, there exists another topological state at $\mu/t\sim 2$ in the gap $\Delta_{\mathrm{II}}$, which is proper on the kagome lattice.

\section{Superconducting Phase}
\subsection{Superconducting phase diagram}
\label{section_SCPD}
\begin{figure}[b]
\begin{center}
\includegraphics[angle=0,width=8.0cm]{./68817Fig7.pdf}
\caption{(Color online) Gap functions for 3rd NN parings with positive (warm color) and negative (cold color) signs in the 1st Brillouin zone. The panels (a), (b), and (c) represent the $s$ state, $d_{x^2-y^2}$ state, and $d_{xy}$ state, respectively.  }
\label{order_parameters}
\end{center}
\end{figure}

Next, let us discuss the property in the superconducting phase at zero temperature in this subsection.
Order parameters are obtained by solving the BdG Hamiltonian Eq. (\ref{BdG}) self-consistently. The most stable superconducting state is determined from the lowest-energy state in the obtained results by using several initial values of order parameters as follows:
\begin{align}
\label{initial_value}
\hat{\Delta}\equiv
\begin{pmatrix}
\Delta_{M,1}\\
\Delta_{M,2}\\
\Delta_{M,3}
\end{pmatrix}
= \left\{ \begin{array}{cc}
\frac{1}{\sqrt{3}}\left( 1 , 1 , 1 \right)^T & (s~\mathrm{state}) \\
\frac{1}{\sqrt{6}} \left(-1 , 2 , -1 \right)^T & (d_{x^2 - y^2}~\mathrm{state}) \\
\frac{1}{\sqrt{2}}\left( 1 , 0 , -1 \right)^T& (d_{xy}~\mathrm{state}) \\
\frac{1}{\sqrt{3}} \left( \mathrm{e}^{i\frac{2\pi}{3}} , 1 , \mathrm{e}^{i\frac{4\pi}{3}} \right)^T& (d+id~\mathrm{state})
\end{array} \right.,
\end{align}
where ``$s$ state'', ``$d_{x^2-y^2}$ state'', and ``$d_{xy}$ state'' represent the symmetries of the order parameter, which are defined as $\hat{\Delta}_s$, $\hat{\Delta}_{x^2- y^2}$, and $\hat{\Delta}_{xy}$, respectively.
The gap function is given by $\Delta_{M}(\bm{k}) = 2\sum_{i=1}^3 \Delta_{M,i} \mathrm{cos}\left( 2 \bm{k}\cdot \bm{a}_i \right)$. Figures \ref{order_parameters}(a)-(c) show gap functions in the Brillouin zone for each set.

Since the upper three sets in Eq. (\ref{initial_value}) are orthogonal to each other and normalized, the order parameter obtained from solving the BdG equation self-consistently is represented as a linear combination of the sets as,
\begin{align}
\hat{\Delta}_M = \alpha_s \hat{\Delta}_s + \alpha_{x^2 - y^2} \hat{\Delta}_{x^2 - y^2} + \alpha_{xy} \hat{\Delta}_{xy},
\end{align}
with complex coefficients $( \alpha_s,\alpha_{x^2-y^2},\alpha_{xy})$ describing the superconducting state. For example, the pure $d_{x^2-y^2} + i d_{xy}$ state is represented by $( \alpha_s, \alpha_{x^2-y^2} , \alpha_{xy} ) \propto \left( 0 , 1, i\right)$.
The Chern number $N_{\mathrm{C}}$ in the superconducting state is defined in a similar manner to the normal phase in Eq. (\ref{Kubo_formula})~\cite{imai13}.

\begin{figure}[t]
	\begin{center}
		\begin{tabular}{c}
			\begin{minipage}{8.0cm}
			\begin{center}
			\includegraphics[width=8.0cm]{./68817Fig8a.pdf}
			\end{center}
			\end{minipage}\\
			\vspace{0.5cm}\\
			\begin{minipage}{8.0cm}
			\begin{center}
			\includegraphics[width=8.0cm]{./68817Fig8b.pdf}
			\end{center}
			\end{minipage}
		\end{tabular}
		\caption{(Color online) $\alpha$ (solid lines) and Chern number (dashed-dotted line) as functions of $\mu$ for $U/t=1$. The upper and lower panels represent $\lambda/t=0.0$ and $\lambda/t=0.3$, respectively. }
		\label{alpha}
	\end{center}

\end{figure}

Figure \ref{alpha} shows each $\alpha$ and the Chern number as functions of $\mu/t$ for $U/t=1$ in the most stable state.
Note that other components ($\mathrm{Im}[\alpha_{s}]$, $\mathrm{Im}[\alpha_{x^2-y^2}]$, and $\mathrm{Re}[\alpha_{xy}]$) vanish in the whole parameter region and the obtained superconducting states consist of multiple components in the wide range of parameters.

First, let us discuss the superconducting state without the SOC as shown in Fig. \ref{alpha}(a).
In the honeycomb lattice model, the ``pure" $d+id$ states appear around VHSs where the amplitude of $\alpha_{x^2 -y^2}$ is identical to that of $\alpha_{xy}$ in the weak-coupling region.
On the other hand, all components of $\alpha$ have finite values around $\mu=\mu_1(=-2t)$ and $\mu=\mu_2(=0)$ on the kagome lattice owing to the lower lattice symmetry in comparison with the honeycomb lattice, where $\left|\alpha_{x^2 -y^2}\right|$ is not equal to $\left| \alpha_{xy}\right|$ and the $s$ state component becomes finite ($\alpha_s\ne 0$).

This inequivalence between $|\alpha_{x^2-y^2}|$ and $|\alpha_{xy}|$ results from the inequivalence among three different 3rd NN pairings on the kagome lattice depicted in Fig. \ref{fig_model}(b).
Although the $s$ component appears in addition to the $d_{x^2 -y^2}$ and $d_{xy}$ components around VHSs in the honeycomb bands, the Chern number still remains finite ($N_C=\pm 2$), which is defined as the ``$d_1+id_2$" state in this study.
The $d_1$ and $d_2$ states stand for the $d_{x^2-y^2}$ and $d_{xy}$ ones, respectively.
$\mathrm{Im}[\alpha_{xy}]$ vanishes at $1.2<\mu/t<1.8$ and $\mathrm{Re}[\alpha_{s}]$ is dominant, which is defined as the topologically trivial ``$s+d_1$'' state with TRS.
Around $\mu=\mu_3(=2t)$, there exist $\mathrm{Re}[\alpha_{s}]$ and $\mathrm{Im}[\alpha_{xy}]$ components with a very small amplitude of $\mathrm{Re}[\alpha_{x^2-y^2}]$, which is defined as the topologically trivial ``$s+id_2$'' state with TRS breaking. The amplitude of the Chern number distinguishes the $d_1+id_2$ and $s+id_2$ states.

We now turn on the SOC, shown in Fig. \ref{alpha}(b). In the case of $\mu/t\lesssim 0.8$, the amplitudes of $\alpha$ are similar to those without the SOC.
Since the SOC generates the energy gap $\Delta_{\mathrm{II}}(\approx 1.04t \text{ for }\lambda=0.3t)$ between the upper honeycomb band and the highest band, the top of the upper honeycomb band shifts to the low-energy region. Thus, the $s+d_1$ state also shifts to the top of the upper honeycomb band ($\mu/t\sim 1$).

On the other hand, around $\mu=\mu_3$, the amplitude of $\mathrm{Re}[\alpha_{s}]$ is reduced and that of $\mathrm{Re}[\alpha_{x^2-y^2}]$ is enhanced, so that the $d_1+id_2$ state with the finite Chern number appears.
Since the Fermi surface in the highest band has hexagonal symmetry due to the SOC, the strong nesting effect leads to the $d_1+id_2$ state.
This result indicates that the SOC gives rise to the topological superconducting state in the highest band on the kagome lattice.

Figure \ref{SCPD} shows the phase diagram in the most stable superconducting state without/with the SOC where the superconducting states are determined by the amplitude of $\alpha$ and the Chern number in a similar manner shown in Fig. \ref{alpha}.
The $d_1\pm id_2$ states have the finite Chern number ($N_{\mathrm{C}} = \pm 2$) around VHSs, and other superconducting states are topologically trivial.

\begin{figure}[t]
\begin{center}
\includegraphics[width=7cm]{./68817Fig9.pdf}
\caption{(Color online) Phase diagram of the superconducting state on kagome lattice. The upper and lower panels represent $\lambda/t=0.0$ and $\lambda/t=0.3$, respectively.
}
\label{SCPD}
\end{center}
\vspace{-0.8cm}
\end{figure}

In the absence of the SOC, the component of the $d_1\pm id_2$ state is dominant around $\mu=\mu_1$ and $\mu=\mu_2$ in the honeycomb bands.
On the other hand, the energy dispersions near the bottom of the lower honeycomb band and the top of the upper honeycomb band are symmetric with respect to $\varepsilon=0$ for $\lambda=0, \mu/t=-1$, and there are circular Fermi surfaces around the $\Gamma$ point ($\mu/t\simeq -4$ and $2$).
We stress that there exists the topologically trivial $s+i d_2$ state with the broken time-reversal symmetry around $\mu = \mu_3$ mainly in the flat band and may be difficult to appear on the honeycomb lattice.

In the presence of the SOC ($\lambda/t=0.3$), the phase diagram does not change markedly in the honeycomb bands qualitatively.
On the other hand, the $s+i d_2$ with $N_{\mathrm{C}} =0$ state found for $\lambda/t=0$ around $\mu=\mu_3$ turns into the $d_1 \pm id_2$ state with  $N_{\mathrm{C}} =\mp2$ in the wide range of parameters, which is attributed to the Fermi surface nesting with the hexagonal symmetry induced by the SOC in the highest band.

The SOC leads to the hexagonal Fermi surface with perfect nesting at $\mu=\mu_3$, where the sufficiently small $U$ generates the $d_1+id_2$ state and further increase in $U$ generates the $s+id_2$ state. Since the phase boundary between the $d_1+id_2$ and $s+id_2$ states is determined by the competition between the width of the highest band and the amplitude of $U$, the parameter region of the appearance of the $d_1+id_2$ state is enlarged around $\mu=\mu_3$ with increasing amplitude of the SOC.

Note that in the large $U$ region ($U/t>1$), although the order parameter changes continuously around $\mu/t=2$, the Chern number switches at $\mu/t=2$. It is attributed to the change in the Fermi surface topology where the Fermi surface vanishes for $\mu/t<2$.

Next, we discuss the temperature dependences of order parameters for $U/t=1$ at VHSs, as plotted in Figs. \ref{Temperature_dependence}(a)--(c).
The superconducting transition temperature $T_c$ is also affected by the SOC.
With increasing $\lambda$, the order parameters increase monotonically at $\mu=\mu_1$ and $\mu=\mu_2$ in the whole temperature region and the transition temperatures also increase. Note that the sign of $\text{Re}[\alpha_{x^2-y^2}]/\text{Im}[\alpha_{xy}]$ is directly associated with the sign of the Chern number in the $d_1\pm id_2$ state.
On the other hand, the order parameter decreases generally with increasing $\lambda$ at $\mu=\mu_3$.
The amplitude of the order parameter is larger than those at $\mu_1$ and $\mu_2$ since there exists a large amplitude of the DOS around $\mu=\mu_3$.
Thus, $T_c$ at $\mu=\mu_3$ is higher than those at $\mu=\mu_1$ and $\mu=\mu_2$ for a small $\lambda$, as depicted in Fig. \ref{Temperature_dependence}(d).
These results indicate that the $d_1+id_2$ state in the highest band on the kagome lattice may have a large transition temperature in comparison with that on the honeycomb lattice.

Note that the nonmonotonic behavior appears with increasing temperature at $\mu=\mu_3$ for the small-$\lambda$ region. Around $T=T_c$, while the $d_1+id_2$ component is dominant, the amplitude of order parameters changes discontinuously and the $s$ component is enhanced in the low-temperature region for $\lambda/t=0.1$. However, the Chern number still becomes a finite integer in the low-temperature region, which indicates that the superconducting state still maintains the $d_1+id_2$ state.

However, for the rather small $\lambda~(\lesssim 0.09t)$ while the $s$ component is further enhanced and the $s+id_2$ state is realized in the low-temperature region, the $d_2$ component vanishes and  the $s+d_1$ state remains around $T=T_c$. It results from the above-mentioned inequivalence between the $d_1$ and $d_2$ states.
When the amplitude of the effective attractive interaction ($\sim U \left|\alpha\right|$) is smaller than the width of the highest band ($W=2\sqrt{3} \lambda$) around $T=T_c$, the effect of Fermi surface nesting plays an important role in giving rise to the $d_1+i d_2$ state.

\begin{figure}[t]
\begin{center}
\begin{tabular}{cc}
\begin{minipage}{4.3cm}
\begin{center}
\includegraphics[angle=90,width=4.3cm]{./68817Fig10a.pdf}
\end{center}
\end{minipage}
\begin{minipage}{4.3cm}
\begin{center}
\includegraphics[angle=90,width=4.3cm]{./68817Fig10b.pdf}
\end{center}
\end{minipage}\\
\begin{minipage}{4.3cm}
\begin{center}
\includegraphics[angle=90,width=4.3cm]{./68817Fig10c.pdf}
\end{center}
\end{minipage}
\begin{minipage}{4.3cm}
\begin{center}
\includegraphics[angle=90,width=4.3cm]{./68817Fig10d.pdf}
\end{center}
\end{minipage}
\end{tabular}
\caption{(Color online) (a)-(c): Temperature dependences of order parameters at van Hove fillings (a) $\mu=\mu_1$, (b) $\mu=\mu_2$, and (c) $\mu=\mu_3$ for $U/t=1$. (d): Transition temperature ($T_c$) plotted as a function of $\lambda$. }
\label{Temperature_dependence}
\end{center}
\vspace{-0.8cm}
\end{figure}

\subsection{Thermal Hall conductivity}
\label{Thermal_Hall_conductivity}
\begin{figure}[t]
\begin{center}
 \begin{tabular}{c}
  \begin{minipage}{7.0cm}
   \begin{center}
    \includegraphics[width=3.9cm,height=7.0cm,angle=90]{./68817Fig11a.pdf}
   \end{center}
  \end{minipage}\\
  \begin{minipage}{7.0cm}
   \begin{center}
    \includegraphics[width=3.9cm,height=7.0cm,angle=90]{./68817Fig11b.pdf}
   \end{center}
  \end{minipage}
 \end{tabular}
\caption{(Color online) Thermal Hall conductivity is plotted as a function of the temperature for several choices of $\lambda$. The black solid line represents the temperature-linear behavior given by Eq. (\ref{THC_tp}). (a) $\mu=\mu_1$ (dotted line) and $\mu=\mu_2$ (dashed line). (b) $\mu=\mu_3$ (dot-dashed line). The inset shows the DOS in the low-energy region at VHSs with $\lambda/t=0.1$ at $T=0$.}
\label{THC_sc}
\end{center}
\vspace{-0.8cm}
\end{figure}

The measurement of the thermal Hall conductivity gives information on the topological properties in TRS broken superconductors\cite{Thermal_Hall_conductivity}, which may enable us to distinguish superconducting states on the kagome lattice.
It can be expressed as
\begin{align}
\label{THC}
\kappa_{xy} = -\frac{1}{TN} \sum_{\bm{k},\alpha} \mathrm{Im}\left[ \left< \frac{\partial u_{\bm{k}\alpha}}{\partial k_x} \bigg| \frac{\partial u_{\bm{k}\alpha}}{\partial k_y} \right> \right] \int dE E^2 \theta (E-E_{\bm{k}\alpha}) f'(E),
\end{align}
where $f'(E)$ is the derivative of the Fermi distribution function. $T$ and $N$ denote the temperature and number of sites, respectively\cite{Thermal_Hall_conductivity}. $u_{\bm{k}\alpha}$ is the periodic part of the Bloch wave function of the BdG Hamiltonian for the wave vector $\bm{k}$ and the band index $\alpha$. $\mathrm{Im}\left[ \left< \partial_{k_x} u_{\bm{k}\alpha} | \partial_{k_y} u_{\bm{k}\alpha} \right> \right]$ is proportional to the $z$ component of the Berry curvature $\Omega(\bm{k})$.

Moreover, in the low-temperature limit, the thermal Hall conductivity (Eq. (\ref{THC})) is proportional to temperature  and the Chern number\cite{Thermal_Hall_conductivity}, which is given by
\begin{align}
\label{THC_tp}
\kappa_{xy} \simeq -\frac{\pi}{12}N_{C} T.
\end{align}
Therefore, in the low-temperature region, $\kappa_{xy}$ is uniquely determined by the topological properties of the superconducting state.

The breaking of the TRS and inversion symmetry in the superconducting state gives rise to the finite thermal Hall conductivity.
Therefore, $\kappa_{xy}$ will vanish in the $s+d_1$ state with the TRS. Although the $s+id_2$ state breaks the TRS and inversion symmetry, $\kappa_{xy}$ also vanishes because the $s+id_2$ state is the topologically trivial one.
On the other hand, the $d_1+id_2$ state with the finite Chern number gives a finite $\kappa_{xy}$.

Figures \ref{THC_sc}(a) and \ref{THC_sc}(b) show the temperature dependence of the thermal Hall conductivity for several combinations of $\left(\mu,\lambda\right)$ with $U/t=1.0$.
For $\mu=\mu_1$, $\mu_2$, and $\mu_3$ with $\lambda/t \ge 0.3$, the $d_1+id_2$ states appear and the thermal Hall conductivity has a linear behavior with respect to temperature in the low-temperature region, whose slope corresponds to the Chern number.

We can also confirm the temperature linear behavior even at $\mu=\mu_3$ at $\lambda/t=0.1$, but that occurs only in the temperature region lower than that at $\mu=\mu_1$ and $\mu=\mu_2$. The deviation from Eq. (\ref{THC_tp}) is well described by the exponential term $\mathrm{e}^{-\beta \Delta}$ with the quasiparticle gap $\Delta$\cite{Imai}. DOSs in the $d_1+id_2$ state at VHSs at absolute zero are shown in the inset in Fig. \ref{THC_sc}(b). The amplitude of the quasiparticle gap at $\mu=\mu_3$ is smaller than those at $\mu=\mu_1$ and $\mu=\mu_2$. It results from the mixing between the $s$ and $d_1$ components in the $d_1 +id_2$ state for $\mu=\mu_3$ and $\lambda=0.1t$. The $s$ state with the 3rd NN pairing has a circular line node unlike the local pairing. Therefore, when $\left| \alpha_s \right|$ becomes comparable to $\left| \alpha_{x^2-y^2} \right|$, the $s+d_1$ state corresponding to the real part of the $d_1 +id_2$ state can have point nodes at $k_x = 0$ and $k_y = 0$,  where the gap function describing the $d_2$ state corresponding to the imaginary part vanishes. Thus, the superconducting gap is strongly suppressed around $\mu=\mu_3$.

In addition, the thermal Hall conductivity at $\mu=\mu_3$ for $\lambda=0$ shows a different temperature dependence from those for other choices of $\lambda$ in Fig. \ref{THC_sc}(b). In the low-temperature region, since the topologically trivial $s+i d_2$ component with broken TRS is dominant, $\kappa_{xy}$ vanishes. However, the $d_1$ component increases with increasing temperature, so that $\kappa_{xy}$ has a finite amplitude. On the other hand, the $d_2$ component vanishes at $T/t\sim 0.1$ and the $s+d_1$ component with the TRS becomes dominant at $0.1t<T<T_c\,(\sim 0.13t)$. Therefore, $\kappa_{xy}$ vanishes at the temperature lower than $T_c$.

\begin{figure}[t]
\begin{center}
\includegraphics[width=5.0cm,height=7.0cm,angle=90]{./68817Fig12.pdf}
\caption{(Color online) Thermal Hall conductivity as a function of temperature for $U/t=2.5$ and $\lambda/t=0.3$ around $\mu/t=2$. The inset shows order parameters around $\mu/t=2$ and the Chern number.}
\label{Lifshitz_transition}
\end{center}
\vspace{-0.8cm}
\end{figure}

Note that in the large-$U$ region, although the order parameters change continuously around $\mu/t=2$, the topological property switches, which is discussed in the previous subsection.
The thermal Hall conductivity is strongly sensitive to the amplitude of the chemical potential, depicted in Fig. \ref{Lifshitz_transition}. $\kappa_{xy}$ has the temperature linear behavior and vanishes in the low temperature limit for $\mu/t>2$ and $\mu/t<2$, respectively, owing to the switch of the topological property.

While the low-temperature behavior is strongly affected by the amplitude of $\mu$, the high-temperature one has a similar form with respect to the temperature around $\mu/t=2$.  Since the order parameters for $\mu/t=1.95$ and $2.05$ are almost the same, it is difficult to distinguish the superconducting states for $\mu/t \gtrsim 2$ and $\mu/t \lesssim 2$ in the high-temperature region.

Here we demonstrate the large-$U$ and $\lambda$ case. However, since the switch of the temperature dependence of $\kappa_{xy}$ around $\mu/t=2$ is associated with the ratio $U/\lambda$, a similar behavior can occur even in the low-$U$ and $\lambda$ region.

\section{Conclusions}
We have investigated the spin-singlet superconducting state and the temperature dependence of the thermal Hall conductivity  on the kagome lattice by the self-consistent BdG approach. In particular, we focus on the highest band and discuss the interplay between the amplitude of the attractive interaction and the SOC effect.

In the normal phase, there exist perfectly hexagonal Fermi surfaces at all VH fillings in the honeycomb bands. The presence of the SOC leads to the dispersive highest band with the hexagonal symmetry, and also generates band gaps, where topological nontrivial states appear where that around $\mu/t=2$ is proper on the kagome lattice.

In the superconducting phase, order parameters and the phase diagram are obtained. In the honeycomb bands, the $d_1+id_2$ states appear in the vicinity of VHSs. Since the amplitude of the DOS at VH fillings is enhanced by the SOC, $T_c$ increases with increasing $\lambda$. In the highest band around $\mu=\mu_3$, the $s+i d_2$ state appears for $\lambda = 0$. Since the Fermi surface in the highest band has the perfect nesting property induced by the SOC at $\mu=\mu_3$, the $d_1+id_2$ state appears for $\lambda>0$. When the width of the highest band depending on the amplitude of the SOC is comparable to the amplitude of the attractive interaction and/or temperature, the $s+id_2$ ($d_1+id_2$) character is dominant in the low-temperature region (around $T_c$).

Moreover, the thermal Hall conductivity is proportional to the temperature with a prefactor that is uniquely related to the Chern number. While the $d_1+id_2$ state has the temperature linear behavior, the thermal Hall conductivity in the $s+i d_2$ state increases slightly with temperature owing to the increase in the $d_1$ component. In particular, the character of pairing symmetries changes in the highest band owing to the competition between the attractive interaction and the bandwidth, which may be detectable in the thermal Hall conductivity. Therefore, the measurement of the thermal Hall conductivity may enable us to distinguish the superconducting states on the kagome lattice.
\section*{Acknowledgment}
We acknowledge valuable discussions with J. Goryo and S. Hoshino.

redpajama_set_name: RedPajamaArXiv


Having already embraced a bold new look for his hardcover folio, photographer John Laurie wanted to give his online brand the same inimitable treatment.
Re-introducing indigo blue, we built a website that could sit alongside John's folio as an expanded archive of his work. Features such as the 'drag and drop' function let John quickly and easily add new images.


redspokes classic Albanian cycling holiday takes you to one of Europe's secret treasures. As recently as 1991 Albania opened to the outside world after years of isolation. Tourism is still in its infancy and Albanians give visitors a warm welcome. 70% of the country is mountainous with spectacular landscapes and pristine coastline along the Adriatic and Ionian Seas. There are many national parks and several World Heritage Sites.
Albania offers exciting and relatively unchartered cycle routes and temperate weather conditions with a Mediterranean climate in the lowlands second only to Spain in annual sunshine quotas. Whilst cycling through unparalleled natural panoramas you'll enjoy traditional Albanian hospitality, wonderful cuisine, a colourful blend of eastern and western influences and have opportunities to discover the country's rich history and culture. Albania is fast growing in popularity as a cycling destination. Take the opportunity to visit now.
redspokes fourteen-day Albania cycling holiday begins in the vibrant capital city Tirana. Heading north, we take a dramatic boat trip on the Komani Lake and begin cycling a beautiful mountainous route to Peshkopi following an ancient Roman trade route, the Via Publica. We ride on through gorges and past cascading waterfalls. Our Albanian North to South cycling tour includes a visit to the Macedonian UNESCO World Heritage town of Ohrid, (City of Lights) before riding around the lake towards Pogradec and back into the Albanian mountains, heading southward to Korçë. Korçë has Illyrian and Ottoman historical roots and close to the Greek border, this is Albania's cultural capital, with a traditional bazaar and a museum of medieval art.
We ride up into the Gramoz Mountains, with a view of snow-capped peaks in the distance, cycling over the Bramash pass then head down into the valley beyond to reach our remote and beautiful accommodation for the night in verdant forested surroundings. Cycling on we stop at the hot springs in Benje and reach majestic world heritage town Gjirokaster. Built by wealthy landowners, Gjirokaster is a beautifully preserved Ottoman town with steep cobbled streets and a 4th Century Castle and is the birthplace of Albania's former communist leader: Enver Hoxha.
Crossing countryside and more mountains to the Ionian coastline we then follow the Albanian Riviera in a northward direction enjoying stunning sea views and white sandy beaches. Our cycling holiday ends in the small coastal town Orikum. We will transfer back to Tirana for your journey home.
Tirana: Albania's lively capital city.
Macedonian UNESCO town of Ohrid.
World Heritage sites: Pogradec, Gjirocaster, Butrint.
Albanian Riviera: turquoise waters, sandy beaches.
Traditional cuisine: an east west culinary fusion.
This map is for illustration purposes only and may not show the exact route taken on this Albania tour.


text:
Guillermo Santiago Thornberry Villarán (13 de agosto de 1954) es un abogado peruano.

Biografía
Hijo de Eduardo Thornberry Lumbreras y María Luisa Villarán García.

Ingresó a la Pontificia Universidad Católica del Perú, en la cual estudió Derecho y obtuvo el título de Abogado. Realizó un Master of Philosophy en Desarrollo Económico en la Universidad de Cambridge en el Reino Unido. Siguió también cursos especializados en Negociación en Escuela de Derecho Harvard.

Fue Director del Instituto de Desarrollo Económico de Escuela de Administración de Negocios para Graduados - ESAN de 1982 a 1984.

De 1985 a 1990 fue Subdirector Regional del Centro Internacional de Investigaciones para el Desarrollo de Canadá con sede en Bogotá.

De marzo de 1990 a abril de 1991 fue Asesor del Ministro de Economía, Carlos Boloña Behr.

De 1997 a 2000 fue Presidente del Consejo Directivo del Organismo Supervisor de la Inversión en Energía (OSINERG).

De 2002 a 2007 fue Subjefe Nacional del Registro Nacional de Identificación y Estado Civil (RENIEC).

En febrero de 2007 fue designado como Presidente del Consejo Directivo del Organismo Supervisor de Inversión Privada en Telecomunicaciones (OSIPTEL) por el presidente Alan García. Ejerció el cargo hasta 2012

De 2015 a 2017 fue designado como miembro del directorio de Perupetro S.A. en representación del Ministerio de Energía y Minas.

En enero de 2019 fue elegido como miembro suplente de la Junta Nacional de Justicia. Sin embargo, tras la revisión del puntaje de uno de los titulares y su re-calificación, Thornberry pasó a ser miembro titular del organismo.

Publicaciones

 Hipoteca y Rescate: algunas reflexiones sobre la deuda externa (1985) con Felipe Ortiz de Zevallos
 Un caso de internacionalización de conflictos regionales: narcotráfico, guerrilla y conservación ecológica en la Amazonia peruana (1990)

Referencias

Abogados de Perú
Alumnado de la Pontificia Universidad Católica del Perú
Familia Villarán


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INDUSTRY.co.id -Serang- Banten non-oil export value increased 2.20 percent in April 2018 compared to March from 971.76 million US dollars to 993.12 million US dollars.
The value of non-oil exports for the top ten categories of Banten goods in April reached 689.84 million US dollars, while for other goods category of 303.28 million US dollars.
The largest non-oil export value of footwear category reached 223.67 million US dollars, followed by plastic and plastic goods and organic chemicals with exports amounting to 86.82 million US dollars and 61.61 million US dollars.
Six of the ten main non-oil / gas export categories in April 2018 increased. The highest increase in export value came from a variety of processed food items followed by plastic and plastic goods with an increase of 12.73 million US dollars and 5.13 million US dollars, respectively. On the other hand, the lowest increase in export goods occurred in rubber and paper / cardboard which only increased by 0.44 million US dollars.
Meanwhile, the highest and lowest decrease in export values occurred in rubber and rubber goods and machinery / appliances category with decrease of respectively 7.85 million US dollars and 0.07 million US dollars.
Non-oil exports of ten main categories of goods for January-April 2018 contributed 68.55 percent of total non-oil and gas exports. Non-oil / non-gas export value for the top ten categories fell 3.06 percent or US $ 83.20 million compared to non-oil and gas exports in the same period last year which reached 2,722.07 million US dollars.
Six of the ten non-oil / gas export categories from January to April 2018 increased from the same period in 2017. The highest increase came from a variety of processed foods that rose 34.76 million US dollars, and the lowest occurred in the copper category with an increase of 3.79 million dollars US.
Compared to ten major non-oil / gas export categories in April and March 2018, all the same classes of goods will be found.
Seven of the nine classes of goods except iron and steel, paper / paperboard and copper are the goods that are always included in the ten main categories of non-oil and gas exports from at least in early 2017, with a combined share of non-oil and gas exports never less than 54 percent.


Moses Tefe, PhD, PE, is an assistant professor of civil/transportation engineering.
His research interests include sustainable transportation planning, transportation planning in developing countries, travel behavior and travel surveys, non-motorized transportation and traffic safety. His professional and scholarly work has been published both nationally and internationally. In 2018, he received a Vermont Genetics Network grant to investigate the safety effect of road sign retro-reflectivity in Vermont.
Prof. Tefe received his bachelor's degree from KNUST, Ghana, and worked in consultancy for a decade before returning to graduate school. He received his master's degree from UNESCO-IHE, Delft in the Netherlands and continued his studies at the University of Alabama, where he completed his PhD in civil/transportation engineering in August 2012.
Prof. Tefe joined the faculty of the David Crawford School of Engineering at Norwich as an assistant professor in July 2012. He is a graduate of the ASCE ExCEEd teaching workshop.


The goal with any tailings management plan should be to reclaim as much water as possible for reuse and to get the solid fractions into a state that can be safely and easily stored and handled. McLanahan provides a wide range of tailings management solutions to help producers achieve these goals, as well as meet environmental regulations. The company's tailings management solutions can offer producers a way to separate the solids from the liquids, resulting in a dry, drip-free, easy-to-handle solid product that can be sold, as well as clean process water that can be reintroduced into the production process. By implementing one or more of McLanahan's tailings management solutions, producers can significantly reduce or potentially eliminate their settling ponds and the hazards and maintenance associated with them.
Every aggregate or mineral producer who processes rock, crushed stone, sand, coal, limestone, gold, etc. ends up with tailings. Tailings are the unavoidable and undesirable ground rock and process washwater left over from the processing plant after the desired material has been separated. They can consist of a combination of the chemicals used to extract the valuable rock, as well as the process water, metals, minerals and/or other organic elements generated from production, depending on the ore that was mined.
Because tailings have no financial gain for the producer, they are usually stored in the most cost-effective way. There are several ways to store tailings following the production process, but the most common method is to pump the tailings slurry to a surface settling pond or impoundment.
Settling ponds are large, manmade, relatively calm bodies of water used to store tailings. They allow the suspended solids in a slurry to separate from the liquid. Over time, the suspended solids settle to the bottom of the pond and accumulate there, leaving the water on top relatively free of contaminants so it can be pumped back to the processing plant for reuse. However, the accumulation of suspended solids decreases the effectiveness and storage capacity of the settling ponds, and they need periodically dredged to increase the volume of tailings they can hold. Producers also have to monitor settling pond water levels, maintain pipes and water reclamation systems, keep out excess water and meet environmental regulations.
Although settling ponds reduce the danger of hazardous material being carried off in the wind, they possess potential risks of their own. If not properly managed, tailings can have a negative effect on the environment, including contaminating wildlife drinking sources and releasing harmful toxins into the air. In addition, dam failure is always a possibility, creating floods that can destroy the surrounding environment, level homes and lead to the loss of human life. Because of the potential dangers settling ponds possess to health and human safety, the environment and infrastructure, environmental laws, regulations and standards have been put into place to govern the storage of mine tailings and to help protect the mine's natural surroundings. Therefore, tailings management is important for any producer who processes aggregates or minerals.
When considering the best way to manage their tailings, producers should look to the future and consider their vision for a long-term solution. Simply digging another settling pond to store the tailings is not always feasible due to space and/or permitting limitations, and a new settling pond could potentially cover up reserves that you may need to access in the future. Taking some time to create a tailings management plan can allow producers the ability to reuse their process water, give them better access to their resources, lead to higher material recovery and increase their return on investment.
Thickeners allow producers to recover and immediately reuse their process water. They are beneficial to producers in a variety of industries, as well as for sites where a lack or cost of water is a concern. Thickeners can drastically reduce the size of settling ponds, or when paired with a dewatering device, eliminate them all together.
Filter Presses can be used in many industries to dewater slurry, producing a drip-free, dry cake and immediately reusable process water. These machines are ideal for producers who want to completely eliminate their settling ponds.
McLanahan also provides several additional tailings management solutions to help separate solids from liquids, allowing producers to recover both fines and process water to potentially increase their profits and meet environmental regulations.
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Providing customers with a technology capable of producing a drip-free cake from concentrates and a wide range of waste material, McLanahan Filter Presses feature either recessed plate or membrane plates, both of which create a chamber for dewatering the slurry without trapping the cakes within the frames. McLanahan Filter Presses include dual feed inlets that lower inlet velocity and result in less wear on filter cloths, as well as utilizing VELCRO® over traditional zip-ties for easy replacement. Providing Filter Presses for customers in industries such as aggregate, coal, mining, concrete, pulp and paper, chemical, and many more, McLanahan offers both lab and on-site pilot testing to ensure the proper size Filter Press.
The leader in creating complete processing plants to produce frac sand needed in the oil and gas well drilling industry, McLanahan's Frac Sand Plants are designed to remove clay impurities, as well as size and dewater sand. McLanahan process engineers work directly with customers to determine layout and equipment requirements for each deposit's unique characteristics. Utilizing proven technologies, plants are engineered with the right equipment to meet each producer's needs, including: centrifugal slurry pumps, Hydrocyclones and Separators™, Dewatering Screens, Fine Material Screw Washers, Hydrosizers®™, Attrition Scrubbers, Thickeners, and Filter Presses.
Rubber-lined and abrasion resistant for long lasting service, McLanahan centrifugal Slurry Pumps can be used for most applications where there is abrasive slurry, including the most severe. These Slurry Pumps have long wear life, require little maintenance and can be used as part of a complete system or as a stand-alone piece of equipment.
Used to recover immediately reusable process water, as well as extracting fines and other materials, McLanahan Thickeners – or Clarifiers, depending on the application – can be used by mineral and aggregate producers, as well as by environmental contractors in industries such as wastewater management. McLanahan Thickeners provide a low-operating cost and minimize environmental and water consumption concerns.


text:
PREVIEW: Leyton Orient v Plymouth Argyle
Orient will be hoping to end a run of two defeats when the O's host league leaders Plymouth Argyle tonight.
Following a 1-0 home loss to Yeovil Town last time out at the Matchroom Stadium, Orient followed it up with a 3-1 defeat at Notts County.
Jonathan Forte, Jon Stead and Aaron Collins were all on target for the Magpies, while Paul McCallum netted for Orient and the O's now lie in 14th place going into tonight's encounter.
Plymouth come into the game sitting pretty at the top of the table with 19 points from their nine games so far this season.
After starting the campaign with back-to-back defeats, the Pilgrims are currently on a seven game unbeaten run, and on Saturday drew 1-1 with Hartlepool United.
Jake Jervis' 84th minute penalty salvaged a point for Derek Adams' side, who were trailing after Nathan Thomas had put the visitors in front at Home Park.
Defender Yvan Erichot is a doubt for the O's after picking up a groin injury in the 3-1 defeat at Notts County.
Ulrich Nnomo made his debut off the bench for the O's at the weekend, and will be pushing for his first start, while O's caretaker manager Andy Edwards could make other changes to the side which lost out at Meadow Lane on Saturday
O's midfielder Liam Kelly on tonight's encounter with the league leaders – here
BETTING (Odds correct at time of preview)
Leyton Orient can be backed at 13/10 to win tonight's Sky Bet League Two clash with Plymouth Argyle
Plymouth Argyle are priced at 2/1 to pick up all three points, while the draw is available at 12/5.
Jay Simpson and Gavin Massey are joint favourites to open the scoring for Orient tonight at 5/1, just ahead of Saturday's goalscorer Paul McCallum who can be backed at 13/2
Not able to make the game tomorrow? Follow updates on the O's official Twitter feed or on Orient Wall, or for commentary on the game listen to BBC London's Dave Victor on Orient PlayerHD.
Match Report and reaction following the game will appear on leytonorient.com.


text:
Yushu (Forenklet kinesisk: 玉树; traditionel kinesisk: 玉樹; pinyin: Yùshù; tibetansk : ཡུལ་; Wylie: Yul-shul) er et autonomt præfektur for tibetanere i provinsen Qinghai i det vestlige Kina. Det har et areal er på  km² , og en befolkning på  mennesker i 2004.

Den Gule Flod har sit udspring i præfekturet, i Bayan Harbjergene, og floden Mekong, i Kina kaldt Lancang Jiang, har sine kilder i amtet Yushu i Zadoisbjergene.

14. april 2010 var der kl. 7:49 lokal tid, et voldsomt jordskælv i Yushu området, hvor omkring 400 blev dræbt, og 10.000 mennesker skadet.

Administrative enheder
Det autonome præfektur Yushu har jurisdiktion over 6 amter (县 xiàn).

Trafik
Kinas rigsvej 214 løber gennem området. Den fører fra Xining i provinsen Qinghai til Jinghong i Yunnan.

Referencer

Bibliografi
 Andreas Gruschke: The Cultural Monuments of Tibet's Outer Provinces: Kham. Vol. 2 – The Yushu Part of Kham, Bangkok 2005

Eksterne henvisninger
 Lokalregeringens side

Yushu


Lightning illuminates a house after a possible tornado touched down in Jefferson County, Ala., damaging several houses on Friday in Birmingham, Alabama.
Parts of the South are facing possible flash floods, even as they survey the damage from a wave of severe weather that killed at least 15 people across Tennessee, Mississippi, and Arkansas.
The National Weather Service says flash flooding is "possible today from the Southern Plains, the middle Mississippi Valley and into the Lower Great Lakes region – remaining over the Southern Plains and middle Mississippi Valley for Sunday."
National Weather Service meteorologist Jim Stefkovich tells our colleagues at Alabama Public Radio that, "we have a number of storm systems coming through, in fact we expect more rain going into Sunday night and into Monday, so that's only going to make things worse."
This comes after two possible tornados on Christmas Day outside Birmingham, Alabama. NPR's Newscast Unit reported that Birmingham Mayor William Bell says the city is working with the Red Cross and the Baptist Association to provide shelter for people who need it.
"National Weather Service crews will assess damage Saturday morning in southwest Birmingham and east Tuscaloosa, locations where tornadoes possibly touched down Christmas Day as storms roared through the state.
'We know there were two possible tornadoes, but we will not for sure until we look at the damage,' said Jason Holmes, a meteorologist in the National Weather Service office in Chilton County."
A Birmingham police spokesman told The Associated Press that "people were trapped inside damaged houses, adding that several people were taken to hospitals for treatment of minor injuries."
"'Many parts of Alabama have experienced excessive rainfall and flooding is a major concern,' Governor Robert Bentley said. 'By issuing a State of Emergency, I have directed all state agencies to take necessary actions to be prepared to respond to the anticipated flooding across Alabama. We will actively monitor the flooding, and are prepared to respond to any requests for assistance.'"
The statement added that "roads and bridges in many places have washed out."
You can find our earlier story on the extreme weather that has hit parts of the South and Midwest this week here.
Other parts of the country face possible storms and blizzards Saturday.


text:
But Then I Came Back
"Once you start making up stories about people, it's hard to stop." ~ pg. 52
Seventeen-year-old Eden Jones survived a near fatal accident. As she tries to recover, she forms a relationship with a boy named Joe. He is not a fellow patient in the hospital but a frequent visitor to a friend, Jasmine. Somehow Jasmine and Eden communicate with each other in a magical way. (At least I think so...)
If my description above sounds confusing, it is because I was! But Then I Came Back has a good premise of recovery and friendship building. But the beginning started off so confusing. I continued reading on the strength of the author's other novel, This Raging Light, only to be disappointed with it falling flat.
"I don't care what you say. That there is no soul, that it's all made up." ~ pg. 300
Don't judge a book by its cover. But Then I Came Back has such a beautiful cover. It's dark, yes. But the gray roses in 3D are striking. I was eager to open this galley and dive into the story within. Le sigh. And then I was so very disappointed. In a strange way, the storyline moved along slowly yet some of the characters descriptions were rushed making it hard for readers to relate. I waited a whole year for this hyped up companion novel?!
Happy Early Pub Day, Estelle Laure. But Then I Came Back will be available Tuesday, April 4, 2017. Unfortunately, I cannot recommend it to bookhearts.
Disclaimer: This book was received directly from the publisher for review purposes only. In no way does it influence my review. The opinions I have expressed are honestly my own and would be the same if I spent my hard-earned coins.
Title: But Then I Came Back
Author: Estelle Laure
Edition: Galley
Rating: ♥♡
Posted by Literary Marie at 10:00 AM
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