Chiral decomposition in the non-commutative Landau problem

Details Chiral decomposition in the non-commutative Landau problem Chiral decomposition in the non-commutative Landau problem

2011-12-02

arxiv.org/abs/1112.0409v2

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 22 figures, in press in Annals of Physics

Scientific paper

10.1016/j.aop.2012.02.014

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.

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