Hall effect driven by non-collinear magnetic polarons in diluted magnetic semiconductors

TL;DR

This paper develops a theory for the topological Hall effect in diluted magnetic semiconductors caused by non-collinear magnetic polarons influenced by spin-orbit interactions, enabling experimental exploration of magnetic textures.

Contribution

It introduces a theoretical framework linking spin-orbit coupling, magnetic polaron structure, and the topological Hall effect in DMS, highlighting controllable skyrmion-like configurations.

Findings

Carrier spin-orbit interaction induces chiral magnetic ordering.

Hall signal persists in weak magnetic fields and low temperatures.

DMS systems enable experimental study of THE dependence on magnetic textures.

Abstract

In this letter we develop the theory of Hall effect driven by non-collinear magnetic textures (topological Hall effect - THE) in diluted magnetic semiconductors (DMS). We show that a carrier spin-orbit interaction induces a chiral magnetic ordering inside a bound magnetic polaron (BMP). The inner structure of non-collinear BMP is controlled by the type of spin-orbit coupling, allowing to create skyrmion- (Rashba) or antiskyrmion-like (Dresselhaus) configurations. The asymmetric scattering of itinerant carriers on polarons leads to the Hall signal which exists in weak external magnetic fields and low temperatures. We point out that DMS-based systems allow one to investigate experimentally the dependence of THE both on a carrier spin polarization and on a non-collinear magnetic texture shape.