Quantum Hall Liquid on a Noncommutative Superplane

Details Quantum Hall Liquid on a Noncommutative Superplane Quantum Hall Liquid on a Noncommutative Superplane

2005-03-22

arxiv.org/abs/hep-th/0503162v3

Phys.Rev. D72 (2005) 105017

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 3 figures, 1 table, minor corrections, published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.72.105017

Supersymmetric quantum Hall liquids are constructed on a noncommutative superplane. We explore a supersymmetric formalism of the Landau problem. In the lowest Landau level, there appear spin-less bosonic states and spin-1/2 down fermionic states, which exhibit a super-chiral property. It is shown the Laughlin wavefunction and topological excitations have their superpartners. Similarities between supersymmetric quantum Hall systems and bilayer quantum Hall systems are discussed.

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