Anomalous Hall effect in ferromagnetic semiconductors

Preprint

22 October 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0110484

Abstract

We present a theory of the anomalous Hall effect in ferromagnetic (Mn,III)V semiconductors. Our theory relates the anomalous Hall conductance of a homogeneous ferromagnet to the Berry phase acquired by a quasiparticle wavefunction upon traversing closed paths on the spin-split Fermi surface of a ferromagnetic state. It can be applied equally well to any itinerant electron ferromagnet. The quantitative agreement between our theory and experimental data in both (In,Mn)As and (Ga,Mn)As systems suggests that this disorder independent contribution to the anomalous Hall conductivity dominates in diluted magnetic semiconductors.

Keywords

FERROMAGNETIC SEMICONDUCTORS
EFFECT IN FERROMAGNETIC
ANOMALOUS HALL EFFECT
HALL CONDUCTIVITY
SEMICONDUCTORS
HALL EFFECT

All Related Versions

Version 1, 2001-10-22, ArXiv
Published version: Physical Review Letters, 88 (20), 207208.

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