Finite Size Scaling of the Chalker-Coddington Model

TL;DR

This paper refines the finite size scaling analysis of the Chalker-Coddington model to accurately estimate the critical exponent at the quantum Hall transition, addressing discrepancies in previous studies and comparing with theoretical predictions.

Contribution

It provides an updated finite size scaling analysis that clarifies the origin of earlier underestimations of the critical exponent in the quantum Hall transition.

Findings

Critical exponent estimate is larger than previous reports.

Identifies the source of underestimation in earlier analyses.

Compares results with theoretical predictions of L"utken and Ross.

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)).