Finite Size Scaling of the Chalker-Coddington Model
Mesoscale and Nanoscale Physics
2014-12-02 v1 Disordered Systems and Neural Networks
Abstract
In Ref.1 (Physical Review B 80, 041304(R) (2009)), we reported an estimate of the critical exponent for the divergence of the localization length at the quantum Hall transition that is significantly larger than those reported in the previous published work of other authors. In this paper, we update our finite size scaling analysis of the Chalker-Coddington model and suggest the origin of the previous underestimate by other authors. We also compare our results with the predictions of L\"utken and Ross (Physics Letters B 653, 363 (2007)).
Keywords
Cite
@article{arxiv.1203.1384,
title = {Finite Size Scaling of the Chalker-Coddington Model},
author = {Keith Slevin and Tomi Ohtsuki},
journal= {arXiv preprint arXiv:1203.1384},
year = {2014}
}
Comments
10 pages, 3 figures, 7 tables. Presented at "Localisation 2011" as an invited talk