Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field

TL;DR

This paper studies the nonlinear magnetoconductivity in tilted Weyl and multi-Weyl semimetals, revealing unique behaviors and potential experimental methods to determine tilt orientation, distinct from linear response phenomena.

Contribution

It predicts finite longitudinal nonlinear magnetoconductivity in inversion symmetry broken tilted Weyl semimetals, absent in untilted ones, and explores its magnetic field dependence.

Findings

Nonlinear magnetoconductivity vanishes in ultra-quantum limit.

It oscillates in intermediate magnetic fields.

It saturates in the semiclassical limit.

Abstract

Magnetotransport and magneto-optics experiments offer a very powerful probe for studying the physical properties of materials. Here, we investigate the second-order nonlinear magnetoconductivity of tilted type-I Weyl and multi-Weyl semimetal. In contrast to the presence of chiral anomaly in the linear response regime, we show that Weyl semimetal do not host chiral charge pumping in the nonlinear transport regime. We predict that an inversion symmetry broken and tilted Weyl semimetal can support finite longitudinal nonlinear magnetoconductivity, which is otherwise absent in untilted Weyl semimetal. The nonlinear magnetoconductivity vanishes in the ultra-quantum limit, oscillates in the intermediate magnetic field regime and saturates in the semiclassical limit. The nonlinear magnetoconductivity depends intricately on the tilt orientation, and it can be used to determine the tilt orientation in Weyl and multi-Weyl semimetals, via nonlinear magnetoresistivity or second harmonic generation experiments.