Nonlinear magnetotransport in Weyl semimetal

TL;DR

This paper predicts a magnetic field-induced nonlinear Hall effect in Weyl semimetals, arising from the interplay of Berry curvature and Lorentz force, leading to observable nonlinear transport and optical phenomena.

Contribution

It introduces the concept of a nonlinear Hall effect in Weyl semimetals induced by magnetic fields, highlighting a new nonlinear transport mechanism.

Findings

Nonlinear Hall conductivity is linear in magnetic field.

Manifestation in nonlinear transport and optical responses.

Interplay of Berry curvature and Lorentz force causes the effect.

Abstract

The recent discovery of the quantum nonlinear Hall effect has revived the field of nonlinear transport. Here, we predict magnetic field-induced nonlinear Hall effect in time-reversal symmetric Weyl semimetal. We show that the interplay of the band geometric quantities, such as the Berry curvature, and the magnetic part of the Lorentz force can give rise to finite nonlinear Hall conductivity that is linear in the magnetic field. Such nonlinear Hall conductivity can manifest through nonlinear transport measurement as well as nonlinear optical phenomena like photocurrent and the second harmonic generation.