Study of the topological Hall effect on simple models

TL;DR

This paper investigates the topological Hall effect in a 2D electron gas with magnetic textures, exploring adiabatic and non-adiabatic regimes and the impact of disorder to clarify the adiabaticity criteria.

Contribution

It provides a numerical study of the topological Hall effect in simple models, analyzing the transition between regimes and effects of disorder.

Findings

Transition criteria between adiabatic and non-adiabatic regimes clarified

Disorder effects on the topological Hall effect analyzed

Numerical results support theoretical understanding of the effect

Abstract

Recently, a chirality-driven contribution to the anomalous Hall effect has been found that is induced by the Berry phase and does not directly involve spin-orbit coupling. In this paper, we will investigate this effect numerically in a two-dimensional electron gas with a simple magnetic texture model. Both the adiabatic and non-adiabatic regimes are studied, including the effect of disorder. By studying the transition between both regimes the discussion about the correct adiabaticity criterium in the diffusive limit is clarified.