2005/03/31 by Kazuki Hasebe · 1 citation
Physics and Astronomy · #hep-th #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevd.72.105017
published as Phys.Rev. D72 (2005) 105017 · 11 pages, 3 figures, 1 table, minor corrections, published in Phys.Rev.D
arxiv created 2006/02/17 · arxiv updated 2016/09/06
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.