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High Energy Physics - Theory

arXiv:1112.0409 (hep-th)
[Submitted on 2 Dec 2011 (v1), last revised 13 Mar 2012 (this version, v2)]

Title:Chiral decomposition in the non-commutative Landau problem

Authors: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.
Comments: 23 pages, 22 figures, in press in Annals of Physics
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph)
Cite as: arXiv:1112.0409 [hep-th]
  (or arXiv:1112.0409v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1112.0409
Related DOI: https://doi.org/10.1016/j.aop.2012.02.014

Submission history

From: Peter Horvathy [view email]
[v1] Fri, 2 Dec 2011 09:34:12 UTC (1,993 KB)
[v2] Tue, 13 Mar 2012 10:29:30 UTC (1,993 KB)
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