DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons

Autor(es)

Vieira, Lucas E. ^[1] ; de Carvalho, Vanuildo S. ^[2] ; Freire, Hermann ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Goias, Inst Fis, BR-74001970 Goiania, Go - Brazil

^[2] Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ANNALS OF PHYSICS; v. 419, AUG 2020.
• Citações Web of Science: 0

Resumo

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 kappa(lat)t), the resistivity rho(T) of the system as a function of temperature obeys a universal scaling form described by rho(T) similar to 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)(latt) epsilon F (where epsilon 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) similar to T-alpha, where the effective exponent roughly satisfies the inequality 1 less than or similar to alpha less than or similar to 2. However, in the low-temperature limit (i.e., T << kappa(3/2)(latt) epsilon 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 Fermi-liquid-like regime described by rho(T) similar to T-2 or it could exhibit yet another non-Fermi liquid regime characterized by the scaling form rho(T) - rho(0) similar to 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. (C) 2020 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 16/05069-7 - Estudo de propriedades de transporte de modelos de baixa energia relevantes para os cupratos supercondutores e líquidos de spin quânticos
• Beneficiário: Vanuildo Silva de Carvalho
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado