Anomalous Hall Effect in Weyl Metals

TL;DR

This paper develops a theoretical framework for the anomalous Hall effect in doped Weyl semimetals, showing it is a purely intrinsic and universal property determined by Weyl node positions, unlike in ordinary ferromagnetic metals.

Contribution

It introduces a theory distinguishing intrinsic and extrinsic contributions to the AHE in Weyl metals, emphasizing the intrinsic nature linked to Weyl node locations.

Findings

AHE in Weyl metals is purely intrinsic when Fermi energy is near Weyl nodes.

Extrinsic and Fermi surface contributions are absent in Weyl metals under certain conditions.

The AHE is fully determined by the Weyl nodes' positions in the Brillouin zone.

Abstract

We present a theory of the anomalous Hall effect (AHE) in a doped Weyl semimetal, or Weyl metal, including both intrinsic and extrinsic (impurity scattering) contributions. We demonstrate that a Weyl metal is distinguished from an ordinary ferromagnetic metal by the absence of the extrinsic and the Fermi surface part of the intrinsic contributions to the AHE, as long as the Fermi energy is sufficiently close to the Weyl nodes. The AHE in a Weyl metal is thus shown to be a purely intrinsic, universal property, fully determined by the location of the Weyl nodes in the first Brillouin zone.