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 $\xi =v_{\perp }/v_{\parallel }\ne 1$) 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 $\xi$ 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 ($\xi \gg$ and $\ll 1$) and weak ($\xi \approx 1$) anisotropy.

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• Disorder in tilted Weyl semimetals from a renormalization group perspective
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• Origin of the repulsive Casimir force in giant polarization-interconversion materials
• Quantum magnetoresistance of Weyl semimetals with strong Coulomb disorder
• Effects of anisotropy on the high field magnetoresistance of Weyl semimetals
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Large enhancement of Edelstein effect in Weyl semimetals from Fermi-arc surface states
• Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect