Chiral anomaly induced nonlinear Hall effect in multi-Weyl semimetals

TL;DR

This paper predicts a new nonlinear Hall effect in multi-Weyl semimetals caused by chiral anomaly and Berry curvature, with unique behaviors depending on topological charge, offering experimentally testable insights.

Contribution

It introduces the chiral anomaly induced nonlinear Hall effect in multi-Weyl semimetals and analyzes its dependence on topological charge and orientation.

Findings

CNHE magnitude decreases with topological charge n

CNHE exhibits different behaviors in different planes for n>1

Predictions are experimentally testable

Abstract

After the experimental realization, the Berry curvature dipole (BCD) induced nonlinear Hall effect (NLHE) has attracted tremendous interest to the condensed matter community. Here, we investigate another family of Hall effect, namely, chiral anomaly induced nonlinear Hall effect (CNHE) in multi-Weyl semimetal (mWSM). In contrast to the BCD induced NLHE, CNHE appears because of the combination of both chiral anomaly and anomalous velocity due to non-trivial Berry curvature. Using the semiclassical Boltzmann theory within the relaxation time approximation, we show that, in contrast to the chiral anomaly induced linear Hall effect, the magnitude of CNHE decreases with the topological charge n. Interestingly, we find that unlike the case of n=1, the CNHE has different behaviors in different planes. Our prediction on the behavior of CNHE in mWSM can directly be checked in experiments.