Effects of anisotropy and disorder on the conductivity of Weyl semimetals
We study dc conductivity of a Weyl semimetal with uniaxial anisotropy (Fermi velocity ratio ξ=v⊥/v∥≠1) 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 (∼T4) of the conductivity turns out to be insensitive of the anisotropy in the limits of strong (ξ≫ and ≪1) and weak (ξ≈1) anisotropy.