Effect of inversion asymmetry on the intrinsic anomalous Hall effect in ferromagnetic (Ga,Mn)As

TL;DR

This study investigates how inversion asymmetry influences the intrinsic anomalous Hall effect in ferromagnetic (Ga,Mn)As, revealing that bulk inversion asymmetry significantly affects Berry curvature and Hall conductivity without altering Curie temperature or anisotropy.

Contribution

The paper demonstrates the impact of bulk inversion asymmetry on the Berry curvature and anomalous Hall conductivity in (Ga,Mn)As using advanced computational models, extending existing theories.

Findings

Bulk inversion asymmetry strongly affects Berry curvature.

Inversion asymmetry influences anomalous Hall conductivity.

Curie temperature and anisotropy fields remain unaffected.

Abstract

The relativistic nature of the electron motion underlies the intrinsic part of the anomalous Hall effect, believed to dominate in ferromagnetic (Ga,Mn)As. In this paper, we concentrate on the crystal band structure as an important facet to the description of this phenomenon. Using different k.p and tight-binding computational schemes, we capture the strong effect of the bulk inversion asymmetry on the Berry curvature and the anomalous Hall conductivity. At the same time, we find it not to affect other important characteristics of (Ga,Mn)As, namely the Curie temperature and uniaxial anisotropy fields. Our results extend the established theories of the anomalous Hall effect in ferromagnetic semiconductors and shed new light on its puzzling nature.