Electric and chiral response to a pseudoelectric field in Weyl materials

Abstract

The electric and chiral current response to the time- and coordinate-dependent pseudoelectric field ${\mathbf{E}}_5$ in Weyl semimetals is studied. It is found that ${\mathbf{E}}_5$ leads to an electric current in the direction perpendicular to the field and the wave vector of the field-inducing perturbation. We dubbed this phenomenon the anomalous pseudo-Hall effect. The response of the chiral or valley current to the pseudoelectric field is also found to be nontrivial. Since the wave vector for ${\mathbf{E}}_5$ cannot be neglected, the frequency profile of the chiral conductivity is drastically different from its electric counterpart showing a step-like feature instead of a smooth Drude peak. The proposed effects can be investigated by driving sound waves in Weyl semimetals with broken time-reversal symmetry.

18 pages, 7 multi-panel figures

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Cited by in corpus (1)

• Current response to axial gauge fields in noncentrosymmetric magnetic Weyl semimetals