We report an estimate ν=2.593[2.587,2.598] of the critical exponent of the Chalker-Coddington model of the integer quantum Hall effect that is significantly larger than previous numerical estimates and in disagreement with experiment. We conclude that models of non-interacting electrons cannot explain the critical phenomena of the integer quantum Hall effect.
Cite
@article{arxiv.0905.1163,
title = {Critical exponent for the quantum Hall transition},
author = {Keith Slevin and Tomi Ohtsuki},
journal= {arXiv preprint arXiv:0905.1163},
year = {2009}
}
Comments
4 pages. Final version. Journal reference and DOI added