Anomalous Hall Effect in non-commutative mechanics

Details Anomalous Hall Effect in non-commutative mechanics Anomalous Hall Effect in non-commutative mechanics

2006-06-18

arxiv.org/abs/cond-mat/0606472v3

Phys.Lett. A359 (2006) 705-706

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages. A figure added. To be published in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2006.07.033

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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