Fractional quantum Hall effect on the two-sphere: a matrix model proposal
High Energy Physics - Theory
2009-11-11 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
We present a Chern-Simons matrix model describing the fractional quantum Hall effect on the two-sphere. We demonstrate the equivalence of our proposal to particular restrictions of the Calogero-Sutherland model, reproduce the quantum states and filling fraction and show the compatibility of our result with the Haldane spherical wavefunctions.
Cite
@article{arxiv.hep-th/0510034,
title = {Fractional quantum Hall effect on the two-sphere: a matrix model proposal},
author = {Bogdan Morariu and Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/0510034},
year = {2009}
}
Comments
26 pages, LaTeX, no figures, references added