Intrinsic and extrinsic anomalous Hall effects in disordered magnetic Weyl semimetal

TL;DR

This paper investigates both intrinsic and extrinsic anomalous Hall effects in disordered magnetic Weyl semimetals through numerical simulations, revealing unique conductance relations and suppression of extrinsic effects.

Contribution

It provides a numerical analysis of Hall effects in disordered magnetic Weyl semimetals, highlighting the relation between conductances and the suppression of extrinsic skew scattering.

Findings

Hall conductance increases with longitudinal conductance near Weyl points

Additional contributions to Hall conductance from Weyl cone subbands identified

Extrinsic skew scattering is significantly suppressed in Weyl metals

Abstract

We study the intrinsic and extrinsic Hall effects in disordered magnetic Weyl semimetals numerically. We show that in Weyl metals, where the Fermi energy deviates from the Weyl point, the Hall and longitudinal conductances exhibit a specific relation, which is distinguished from the well-known relation in integer quantum Hall systems. Around the Weyl point, the Hall conductance increases with increasing longitudinal conductance. This increasing behavior indicates the existence of additional contributions to the Hall conductance from the subbands of Weyl cones besides that from the bulk Berry curvature. We also show that the extrinsic anomalous Hall effect due to the spin scatterers (skew scattering) is significantly suppressed in Weyl metals.