DC resistivity near a nematic quantum critical point: effects of weak disorder and acoustic phonons
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2020
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We calculate the resistivity associated with an Ising-nematic
quantum critical point in the presence of disorder and acoustic
phonons in the lattice model. To perform this analysis, 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 κlatt), the resistivity ρ(T ) of the system as a function of
temperature obeys a universal scaling form described by ρ(T ) ∼
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 κ
3/2
latt εF
(where εF 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 ρ(T ) ∼ T
α
, where the effective
exponent roughly satisfies the inequality 1 ≲ α ≲ 2. However, in
the low-temperature limit (i.e., T ≪ κ
3/2
latt εF ), 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 Fermi-liquid-like regime described by ρ(T ) ∼ T
2 or it could
exhibit yet another non-Fermi liquid regime characterized by the
scaling form ρ(T )−ρ0 ∼ T
2
ln T (implying in the latter case that
the system would display a Kondo-like upturn in the resistivity).
From a broader perspective, 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.
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VIEIRA, Lucas E.; CARVALHO, Vanuildo S. de; FREIRE, Hermann. DC resistivity near a nematic quantum critical point: effects of weak disorder and acoustic phonons. Annals of Physics, Amsterdam, v. 419, e168230, 2020. DOI: 10.1016/j.aop.2020.168230. Disponível em: https://www.sciencedirect.com/science/article/pii/S0003491620301640. Acesso em: 18 set. 2023.