Finite Size Scaling of the Chalker-Coddington Model

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 Lütken and Ross (Physics Letters B 653, 363 (2007)).

arXiv comment10 pages, 3 figures, 7 tables. Presented at "Localisation 2011" as an invited talk

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• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Disorder effects in correlated topological insulators
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• Numerical evidence for marginal scaling at the integer quantum Hall transition
• Quantum Hall transitions: An exact theory based on conformal restriction
• Spectrum-wide quantum criticality at the surface of class AIII topological phases: An "energy stack" of integer quantum Hall plateau transitions
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• Composite Fermion Nonlinear Sigma Models
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• Quantum Hall criticality in an amorphous Chern insulator
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• Edge state critical behavior of the integer quantum Hall transition
• Random Magnetic Field and the Dirac Fermi Surface
• Harris-Luck criterion in the plateau transition of the Integer Quantum Hall Effect