The edge state network model and the global phase diagram
Mesoscale and Nanoscale Physics
2009-11-07 v2
Abstract
The effects of randomness are investigated in the fractional quantum Hall systems. Based on the Chern-Simons Ginzburg-Landou theory and considering relevant quasi-particle tunneling, the edge state network model for the hierarchical state is introduced and the plateau-plateau transition and liquid-insulator transition are discussed. This model has duality which corresponds to the relation of the quantum Hall liquid phase and the Hall insulating phase and reveals a mechanism in the weak coupling regime.
Cite
@article{arxiv.cond-mat/0104277,
title = {The edge state network model and the global phase diagram},
author = {Kentaro Nomura and Daijiro Yoshioka},
journal= {arXiv preprint arXiv:cond-mat/0104277},
year = {2009}
}
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5 page RevTex