Anomalous Hall Effect in non-commutative mechanics

P. A. Horvathy

Published 2006-06-18, updated 2006-09-20Version 3

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.