Anomalous Hall Effect in non-commutative mechanics
arXiv:cond-mat/0606472 · doi:10.1016/j.physleta.2006.07.033
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.
4 pages. A figure added. To be published in Phys. Lett. A
References in corpus (2)
Cited by in corpus (15)
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- Non-commutative mechanics and Exotic Galilean symmetry
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- Anomalous Hall Effect for semiclassical chiral fermions