Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly

TL;DR

This paper predicts a nonlinear Hall effect in Weyl semimetals with tilted Weyl cones caused by chiral anomaly, independent of Berry curvature dipole, expanding understanding of nonlinear transport phenomena.

Contribution

It introduces a new nonlinear Hall effect mechanism in Weyl semimetals driven by tilt and chiral anomaly, distinct from Berry curvature dipole effects.

Findings

Nonlinear Hall conductivity is linear in electric and magnetic fields.

Effect depends critically on Weyl cone tilting.

Does not rely on Berry curvature dipole.

Abstract

We predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed -- the Weyl cones are "tilted" -- the concerted actions of the anomalous velocity and the chiral anomaly give rise to the nonlinear Hall effect. This Hall conductivity is linear in both electric and magnetic fields, and depends critically on the tilting of the Weyl cones. We also show that this effect does not rely on a finite Berry curvature dipole, in contrast to the intrinsic quantum nonlinear Hall effect that was recently observed in type-II Weyl semimetals.