Finite Size Scaling of the Chalker-Coddington Model

Details Finite Size Scaling of the Chalker-Coddington Model Finite Size Scaling of the Chalker-Coddington Model

2012-03-07

arxiv.org/abs/1203.1384v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 3 figures, 7 tables. Presented at "Localisation 2011" as an invited talk

Scientific paper

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)).

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