Probing domain wall dynamics in magnetic Weyl semimetals via the non-linear anomalous Hall effect

TL;DR

This paper investigates how electric fields influence domain wall dynamics in magnetic Weyl semimetals and how these dynamics produce measurable non-linear anomalous Hall effects, providing new ways to probe magnetization behavior.

Contribution

It introduces a novel approach to detect domain wall motion in Weyl semimetals through non-linear Hall effects induced by electric fields.

Findings

Electric field can induce structural phase transitions in domain walls.

Domain wall dynamics generate a transient non-linear anomalous Hall effect.

The non-linear Hall effect serves as a direct probe of magnetization and domain wall position.

Abstract

The magnetic textures of Weyl semimetals are embedded into their topological structure and interact dynamically with it. Here, we examine electric field-induced structural phase transitions in domain walls mediated by the spin transfer torque, and their footprint in charge transport. Remarkably, domain wall dynamics lead to a transient, local, non-linear anomalous Hall effect and non-linear anomalous drift current, which serve as direct probes of the magnetization dynamics and of the domain wall location. We discuss experimental observation in state-of-the-art samples.