Effects of anisotropy and disorder on the conductivity of Weyl semimetals

Abstract

We study dc conductivity of a Weyl semimetal with uniaxial anisotropy (Fermi velocity ratio $ξ= v_\bot/v_\parallel\neq1$) considering the scattering of charge carriers by a wide class of impurity potentials, both short- and long-range. We obtain the ratio of transverse and longitudinal (with respect to the anisotropy axis) conductivities as a function of both $ξ$ and temperature. We find that the transverse and longitudinal conductivities exhibit different temperature dependence in the case of short-range disorder. For general long-range disorder, the temperature dependence ($\sim T^4$) of the conductivity turns out to be insensitive of the anisotropy in the limits of strong ($ξ\gg$ and $\ll1$) and weak ($ξ\approx1$) anisotropy.