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 E5 in Weyl semimetals is studied. It is found that E5 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 E5 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.

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