Anomalous Hall Effect in non-commutative mechanics
Mesoscale and Nanoscale Physics
2010-04-05 v3 High Energy Physics - Theory
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.
Cite
@article{arxiv.cond-mat/0606472,
title = {Anomalous Hall Effect in non-commutative mechanics},
author = {P. A. Horvathy},
journal= {arXiv preprint arXiv:cond-mat/0606472},
year = {2010}
}
Comments
4 pages. A figure added. To be published in Phys. Lett. A