Chiral decomposition in the non-commutative Landau problem
High Energy Physics - Theory
2012-03-14 v2 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
The decomposition of the non-commutative Landau (NCL) system into two uncoupled one-dimensional chiral components, advocated by Alvarez, Gomis, Kamimura and Plyushchay [1], is generalized to nonvanishing electric fields. This allows us to discuss the main properties of the NCL problem including its exotic Newton-Hooke symmetry and its relation to the Hall effect. The "phase transition" when the magnetic field crosses a critical value determined by the non-commutative parameter is studied in detail.
Cite
@article{arxiv.1112.0409,
title = {Chiral decomposition in the non-commutative Landau problem},
author = {P-M. Zhang and P. A. Horvathy},
journal= {arXiv preprint arXiv:1112.0409},
year = {2012}
}
Comments
23 pages, 22 figures, in press in Annals of Physics