Chiral decomposition in the non-commutative Landau problem

P-M. Zhang; P. A. Horvathy

doi:10.1016/j.aop.2012.02.014

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arXiv · 1112.0409

Chiral decomposition in the non-commutative Landau problem

P-M. Zhang·P. A. Horvathy

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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.

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P-M. Zhang, P. A. Horvathy. 2011-12-02. Chiral decomposition in the non-commutative Landau problem. https://doi.org/10.1016/j.aop.2012.02.014

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