Scattering on magnetic skyrmion in the non-adiabatic approximation

TL;DR

This paper develops a theory for electron scattering on magnetic skyrmions beyond the adiabatic approximation, explaining the topological Hall effect in systems with moderate exchange interactions, especially dilute magnetic semiconductors.

Contribution

It introduces a non-adiabatic scattering theory for electrons on skyrmions, extending understanding beyond the Berry phase approach.

Findings

Topological Hall current explained in non-adiabatic regime

Applicable to dilute magnetic semiconductors with weak exchange

Provides a framework for moderate exchange interactions

Abstract

We present a theory of electron scattring on a magnetic skyrmion for the case when exchange interaction is moderate so that adiabatic approximation and Berry phase approach is not applicable. The theory explains the appearance of a topological Hall current in the systems with magnetic skyrmions, of a special importance its applicability to dilute magnetic semiconductors with a weak exchange interaction.