Quantum Hall Liquid on a Noncommutative Superplane
High Energy Physics - Theory
2016-09-06 v3 Mesoscale and Nanoscale Physics
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0503162,
title = {Quantum Hall Liquid on a Noncommutative Superplane},
author = {Kazuki Hasebe},
journal= {arXiv preprint arXiv:hep-th/0503162},
year = {2016}
}
Comments
11 pages, 3 figures, 1 table, minor corrections, published in Phys.Rev.D