Chiral decomposition in the non-commutative Landau problem

P. A. Horvathy; P-M. Zhang

Chiral decomposition in the non-commutative Landau problem

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arxiv 1112.0409 v2 pith:5HPKMW76 submitted 2011-12-02 hep-th cond-mat.str-elmath-phmath.MP

P-M. Zhang , P. A. Horvathy This is my paper · ORCID

classification hep-thcond-mat.str-elmath-phmath.MP

keywords non-commutativechiraldecompositionlandauproblemadvocatedallowsalvarez

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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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