Evidence for the PSL(2$|$2) Wess-Zumino-Novikov-Witten model as a model for the plateau transition in Quantum Hall effect: Evaluation of numerical simulations

Abstract

In this paper I revise arguments in favour of the PSL(2$|$2) Wess-Zumino-Novikov-Witten (WZNW) model as a theory of the plateau transition in Integer Quantum Hall effect. I show that all available numerical data (including the correlation length exponent $\nu$) are consistent with the predictions of such WZNW model with the level $k=8$.

arXiv comment11 pages, no figures

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• Branes in the GL(1|1) WZNW-Model
• Geometrically disordered network models, quenched quantum gravity, and critical behavior at quantum Hall plateau transitions
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• Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
• Generalized multifractality in the spin quantum Hall symmetry class with interaction
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• On truncations of the Chalker-Coddington model
• Critical behavior at the integer quantum Hall transition in a network model on the Kagome lattice
• Boundary multifractality in the spin quantum Hall symmetry class with interaction
• Instanton analysis for the spin quantum Hall symmetry class: Non-perturbative corrections to physical observables and generalized multifractal spectrum
• Multifractality and quantum diffusion from self-consistent theory of localization
• Supersymmetry approach to delocalization transitions in a network model of the weak field quantum Hall effect and related models
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