A Matrix Model for Fractional Quantum Hall States
High Energy Physics - Theory
2017-01-25 v1 Condensed Matter
Abstract
We have developed a matrix model for FQH states at filling factor \nu_{k_1k_2} going beyond the Laughlin theory. To illustrate our idea, we have considered an FQH system of a finite number N=(N_{1}+N_{2}) of electrons with filling factor \nu_{k_{1}k_{2}} = \nu_{p_{1}p_{2}}=\frac{p_{2}}{p_{1}p_{2}-1}; p_{1} is an odd integer and p_{2} is an even integer. The \nu_{p_{1}p_{2}} series corresponds just to the level two of the Haldane hierarchy; it recovers the Laughlin series \nu_{p_{1}} =\frac{1}{p_{1}} by going to the limit p_{2} large and contains several observable FQH states such as \nu = 2/3, 2/5, >....
Cite
@article{arxiv.hep-th/0303143,
title = {A Matrix Model for Fractional Quantum Hall States},
author = {A. Jellal and E. H. Saidi and H. B. Geyer and R. A. Roemer},
journal= {arXiv preprint arXiv:hep-th/0303143},
year = {2017}
}
Comments
to be published in the Proceedings (J. Phys. Soc. Japan) of Localisation 2002 Conference, Tokyo, Japan