Hyperbolic Supersymmetric Quantum Hall Effect
High Energy Physics - Theory
2009-01-26 v4 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
Developing a non-compact version of the SUSY Hopf map, we formulate the quantum Hall effect on a super-hyperboloid. Based on group theoretical methods, we first analyze the one-particle Landau problem, and successively explore the many-body problem where Laughlin wavefunction, hard-core pseudo-potential Hamiltonian and topological excitations are derived. It is also shown that the fuzzy super-hyperboloid emerges in the lowest Landau level.
Cite
@article{arxiv.0809.4885,
title = {Hyperbolic Supersymmetric Quantum Hall Effect},
author = {Kazuki Hasebe},
journal= {arXiv preprint arXiv:0809.4885},
year = {2009}
}
Comments
14 pages, two columns, no figures, published version, typos corrected