Chiral electric separation effect in Weyl semimetals

TL;DR

This paper investigates the chiral electric separation effect in Weyl semimetals, revealing how external fields induce various components of chirality current linked to the chiral anomaly, with potential experimental observability.

Contribution

It provides a kinetic equation-based model demonstrating non-zero chirality currents and distinguishes different components of CESE in Weyl semimetals, including their field dependencies.

Findings

Chirality current exists in external electric and magnetic fields.

Longitudinal and in-plane transverse components are quadratic in electric and linear in magnetic fields.

Hall component is quadratic in both electric and magnetic fields.

Abstract

We study the chiral electric separation effect (CESE) in Weyl semimetals (WSM). Within the model based on the kinetic equation we show that there is a non-zero chirality current in external electric and magnetic fields. We distinguish longitudinal, in-plane transverse, Hall, and anomalous Hall components of the CESE. It is shown that the first two components are quadratic in electric field and linear in magnetic field, while the Hall component is quadratic in both the electric and magnetic fields. All three are due to the chiral anomaly. In WSMs the chirality current can be associated with the spin current, which can be experimentally observed.