Quantum Hall Effect Based on SUSY Non-Commutative Geometry(Universe, Phenomenology and Condensed matter,NONCOMMUTATIVE GEOMETRY AND QUANTUM SPACETIME IN PHYSICS)
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概要
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Recent developments of the SUSY quantum Hall effect [K. Hasebe and Y. Kimura, Nucl. Phys. B 709 (2005), 94; hep-th/0409230. K. Hasebe, Phys. Rev. Lett. 94 (2005), 206802; hep-th/0411137; Phys. Rev. D 72 (2005), 105017; hep-th/0503162; Phys. Rev. D 74 (2006), 045026; hep-th/0606007] are presented. The SUSY quantum Hall effect incorporates SUSY non-commutative geometry in a natural way, and exhibits its peculiar properties. In the former half, I introduce the mathematical set-up for the SUSY quantum Hall effect and investigate SUSY Landau problem. In the latter half, many-body problem is explored. A SUSY Laughlin wave function and a SUSY Chern-Simons-Landau-Ginzburg Lagrangian are derived and thier properties are discussed.
- 2008-03-07
著者
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Hasebe Kazuki
Department Of General Education Kagawa National College Of Technology
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Hasebe Kazuki
Department of General Education, Takuma National College of Technology
関連論文
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