Interaction Corrections to Charge Transport in Disordered Weyl Semimetals

Quantum corrections to the conductivity are known to be important in disordered electron systems, and are due both to weak localization and to the interplay of disorder and electron-electron interactions. The consequences of these phenomena in topological systems have been a subject of many studies, and weak localization/anti-localization has been shown to affect the bulk conductivity and magnetoresistance of topological insulators and Weyl semimetals. In this study, we investigate the effects of electron-electron interactions and disorder on the conductivity tensor of 3D Weyl semimetals. We formulate the problem in the time domain suited to non-equilibrium applications and consider the regime where interactions and disorder can be treated perturbatively in the manner introduced by Altshuler and Aronov. We compute the temperature dependence of transport coefficients and compare with the recent experimental findings.