  We calculate the resistivity associated with an Ising-nematic quantum
critical point in the presence of disorder and acoustic phonons in the lattice
model. We use the memory-matrix transport theory, which has a crucial advantage
compared to other methods of not relying on the existence of well-defined
quasiparticles in the low-energy effective theory. As a result, we obtain that
by including an inevitable interaction between the nematic fluctuations and the
elastic degrees of freedom of the lattice (parametrized by the nemato-elastic
coupling $\kappa_{\text{latt}}$), the resistivity $\rho(T)$ of the system as a
function of temperature obeys a universal scaling form described by
$\rho(T)\sim T\ln (1/T)$ at high temperatures, reminiscent of the paradigmatic
strange metal regime observed in many strongly correlated compounds. For a
window of temperatures comparable with
$\kappa^{3/2}_{\text{latt}}\varepsilon_F$ (where $\varepsilon_F$ is the Fermi
energy of the microscopic model), the system displays another regime in which
the resistivity is consistent with a description in terms of $\rho(T)\sim
T^{\alpha}$, where the effective exponent roughly satisfies the inequality
$1\lesssim\alpha\lesssim 2$. However, in the low-temperature limit (i.e.,
$T\ll\kappa^{3/2}_{\text{latt}}\varepsilon_F$), the properties of the quantum
critical state change in an important way depending on the types of disorder
present in the system: It can either recover a conventional Fermi liquid
described by $\rho(T)\sim T^2$ or it could exhibit yet another non-Fermi liquid
regime characterized by the scaling form $\rho(T)-\rho_0\sim T^2\ln T$. Our
results emphasize the key role played by both phonon and disorder effects in
the scenario of nematic quantum criticality and might be fundamental for
addressing recent transport experiments in some iron-based superconductors.

Strongly Correlated Electrons;Superconductivity