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arXiv · 1506.07556

Effects of anisotropy and disorder on the conductivity of Weyl semimetals

Ya. I. Rodionov·K. I. Kugel·Franco Nori
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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.

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Ya. I. Rodionov, K. I. Kugel, Franco Nori. 2015-06-24. Effects of anisotropy and disorder on the conductivity of Weyl semimetals. https://doi.org/10.1103/physrevb.92.195117

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