title: Namangan Institute of Engineering and Technology
text: Namangan Institute of Engineering and Technology
  nammti.uz
  10.25.2023
  Pg.214
  Yangi keltirib chiqarilgan (6) analitik ifoda
  3
  ( , , )
  d
  g
  E B T
  ni
  3
  ( )
  d
  g
  E
  T
  orqali aniqlash formulasi, ya’ni
  3
  3
  (
  ( ), , )
  d
  d
  zz
  g
  E
  T B T
  - hajmiy tor sohali ko'ndalang magnitoqarshilik ossillyatsiyalari deyiladi. Endi,
  ushbu taklif qilinayotgan (6) analitik ifoda orqali turli haroratlarda
  3
  3
  (
  ( ), , )
  d
  d
  zz
  g
  E
  T B T
  ossillyatsiyalarini grafik tahlil qilaylik.
  2-rasmda
  n-Bi
  2
  Te
  2.85
  Se
  0.15
  tor sohali hajmiy yarimo’tkazgich uchun uch o’lchamli
  3
  3
  (
  ( ), , )
  d
  d
  zz
  g
  E
  T B T
  ko'ndalang magnitoqarshilik ossillyatsiyalari kiritilgan. Bunda,
  n-Bi
  2
  Te
  2.85
  Se
  0.15
  uchun
  3
  (0)
  0.18
  d
  g
  E
  eV
  ga teng bo’lib, magnit maydon induksiyasi qiymati 0.5 Tl dan 6 Tl gacha,
  harorat esa 5 K dan 105 K gacha o’zgarmoqda. Ushbu 3D grafikdan ko’rinib turibdiki,
  harorat
  T = 5 K da
  3
  3
  (
  ( ), , )
  d
  d
  zz
  g
  E
  T B T
  ossillyatsiya amplitudalari keskin ko’rinmoqda. Hatto, kichik magnit
  maydonlarda (B = 1 Tl) ham ossillyatsiya cho’qqilari yaqqol kuzatilmoqda. Harorat sekin ko’tarilgan
  sari (T = 10 K, 15 K, 25 K)
  3
  3
  (
  ( ), , )
  d
  d
  zz
  g
  E
  T B T
  ossillyatsiya cho’qqilari pasaya boshlamoqda, magnit
  maydon induksiyasi qiymat B = 0.5 Tl ÷ 1.5 Tl oraliqda bu cho’qqilar yo’qolmoqda. Harorat 105 K da
  esa
  0
  ( ,
  , )
  f
  E
  T
  E
  delta funksiyani termik yuvilish hisobiga B = 0.5 Tl ÷ 4 Tl oraliqda
  3
  3
  (
  ( ), , )
  d
  d
  zz
  g
  E
  T B T
  ossillyatsiyalari uzluksiz energetik spektrga aylanmoqda, ya’ni bunda magnit maydon ta’siri
  ko’rinmayapti. Xulosa qilib shuni aytish mumkinki, tor zonali hajmiy yarimo’tkazgichlarda esa, biz
  taklif qilayotgan (6) analitik ifodalardan foydalanish tavsiya etiladi.
  2-rasm. n-Bi
  2
  Te
  2.85
  Se
  0.15
  tor sohali hajmiy yarimo’tkazgich uchun
  3
  3
  (
  ( ), , )
  d
  d
  zz
  g
  E
  T B T
  ossillyatsiyalarining uch o’lchamli ko’rinishi
  Foydalanilgan adabiyotlar
  1.
  Erkaboev, U.I., Rakhimov, R.G. Determination of the dependence of the oscillation of
  transverse electrical conductivity and magnetoresistance on temperature in heterostructures based
  on quantum wells.
  East European Journal of Physics, 2023(3), pp.133–145.
  2.
  Erkaboev, U.I., Rakhimov, R.G. Simulation of temperature dependence of oscillations of
  longitudinal magnetoresistance in nanoelectronic semiconductor materials.
  e-Prime - Advances in
  Electrical Engineering, Electronics and Energy, 2023, 5, 100236.
  3.
  Gulyamov, G., Erkaboev, U.I., Rakhimov, R.G., Mirzaev, J.I., Sayidov, N.A. Determination of
  the dependence of the two-dimensional combined density of states on external factors in quantum-
  dimensional heterostructures.
  Modern Physics Letters B, 2023, 37(10), 2350015
  4.
  Erkaboev, U.I., Rakhimov, R.G., Sayidov, N.A., Mirzaev, J.I.
  Modeling the temperature
  dependence of the density oscillation of energy states in two-dimensional electronic gases under
  the impact of a longitudinal and transversal quantum magnetic fields.
  Indian Journal of Physic, 2023,
  97(4), pp.1061–1070.