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Anomalous Hall Effect in non-commutative mechanics

P. A. Horvathy
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Abstract

The anomalous velocity term in the semiclassical model of a Bloch electron deviates the trajectory from the conventional one. When the Berry curvature (alias noncommutative parameter) is a monopole in momentum space as found recently in some ferromagnetic semiconductors while observing the anomalous Hall effect, we get a transverse shift, similar to that in the optical Hall effect.

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P. A. Horvathy. 2006-09-20. Anomalous Hall Effect in non-commutative mechanics. https://doi.org/10.1016/j.physleta.2006.07.033

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