Anomalous Hall effects beyond Berry magnetic fields in a Weyl metal phase

TL;DR

This paper explores how time-varying magnetic fields induce Berry electric fields in Weyl metals, leading to novel anomalous Hall effects beyond traditional Berry magnetic field explanations.

Contribution

It introduces the concept of Berry electric fields in Weyl metals and incorporates them into Boltzmann transport theory to explain new anomalous Hall effects.

Findings

Identification of AC Berry magnetic fields in oscillating Weyl points

Prediction of Berry electric field-induced anomalous Hall effects

Extension of Boltzmann transport theory to include Berry electric fields

Abstract

Applying time-varying magnetic fields to Weyl metals, a pair of Weyl points become oscillating. This oscillating monopole and anti-monopole pair gives rise to AC Berry magnetic fields, responsible for the emergence of Berry electric fields, which have not been discussed before at least in the context of Weyl metals. Introducing this novel information into Boltzmann transport theory, we find anomalous Hall effects beyond Berry magnetic fields as a fingerprint of Berry electric fields.