We present a theory of the anomalous Hall effect in ferromagnetic (III,
Mn)V semiconductors. Our theory relates the anomalous Hall conductance
of a homogeneous ferromagnet to the Berry phase acquired by a
quasiparticle wave function upon traversing closed paths on the
spin-split Fermi surface. 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…
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