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

TL;DR

This paper revises arguments supporting the PSL(2|2) WZNW model as a theoretical framework for the plateau transition in the Integer Quantum Hall effect, showing numerical data aligns with the model's predictions.

Contribution

It provides a comprehensive evaluation of numerical simulations confirming the PSL(2|2) WZNW model's relevance to the quantum Hall plateau transition.

Findings

Numerical data, including the correlation length exponent, are consistent with the model.

The WZNW model with level k=8 accurately describes the transition.

Supports the PSL(2|2) WZNW model as a valid theoretical approach.

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 $k=8$.