The group $\Gamma (2)$ and the fractional quantum hall effect
Condensed Matter
2009-10-28 v1
Abstract
We analyze the action of the inhomogeneous modular group on the three cusps of its principal fundamental domain in the Poincare half plane. From this, we obtain an exhaustive classification of the fractional quantum Hall numbers. This classification is somehow similar to the one given by Jain. We also present some resulting remarks concerning direct phase transitions between the different quantum Hall states.
Cite
@article{arxiv.cond-mat/9605030,
title = {The group $\Gamma (2)$ and the fractional quantum hall effect},
author = {Y. Georgelin and J. C. Wallet},
journal= {arXiv preprint arXiv:cond-mat/9605030},
year = {2009}
}
Comments
11 pages Tex, 2 figures from request