Nonlinear Chiral Transport in Dirac Semimetals

TL;DR

This paper investigates nonlinear chiral charge transport in Dirac semimetals, revealing how electric and magnetic fields influence chiral currents through anomaly-related effects using a kinetic equation approach.

Contribution

It introduces a kinetic equation framework to analyze nonlinear chiral transport in Dirac semimetals under combined electric and magnetic fields, highlighting new anomaly-related contributions.

Findings

Chiral charge current depends on the square of the electric field.

Chiral current shows linear and quadratic dependence on magnetic field.

Interplay of chiral anomaly and electron drift affects current behavior.

Abstract

We study the current of chiral charge density in a Dirac semimetal with two Dirac points in momentum space, subjected to an externally applied time dependent electric field and in the presence of a magnetic field. Based on the kinetic equation approach, we find contributions to the chiral charge current, that are proportional to the second power of the electric field and to the first and second powers of the magnetic field, describing the interplay of the chiral anomaly and the drift motion of electrons moving under the action of electric and magnetic fields.