Fractional quantum Hall effect on the two-sphere: a matrix model proposal
高能物理 - 理论
2009-11-11 v2 介观与纳米尺度物理
数学物理
math.MP
摘要
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.
引用
@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}
}
备注
26 pages, LaTeX, no figures, references added