Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels
Mesoscale and Nanoscale Physics
2012-03-21 v2 Disordered Systems and Neural Networks
Abstract
Critical properties of quantum Hall systems are affected by the presence of extra edge channels - present, in particular, at higher plateau transitions. We study this phenomenon for the case of the spin quantum Hall transition. Using supersymmetry we map the corresponding network model to a classical loop model, whose boundary critical behavior was recently determined exactly. We verify predictions of the exact solution by extensive numerical simulations.
Keywords
Cite
@article{arxiv.1109.4866,
title = {Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels},
author = {Roberto Bondesan and Ilya A. Gruzberg and Jesper Lykke Jacobsen and Hideaki Obuse and Hubert Saleur},
journal= {arXiv preprint arXiv:1109.4866},
year = {2012}
}
Comments
5 pages and 4 page supplemental material, 4 figures