Critical exponent for the quantum Hall transition

TL;DR

This paper estimates the critical exponent for the quantum Hall transition using the Chalker-Coddington model, finding a value that challenges previous numerical results and suggests non-interacting models are insufficient.

Contribution

It provides a more precise estimate of the critical exponent and questions the adequacy of non-interacting electron models for explaining the quantum Hall transition.

Findings

Estimated critical exponent ν = 2.593 with narrow confidence interval.

The value significantly exceeds previous numerical estimates.

The results disagree with experimental measurements, implying model limitations.

Abstract

We report an estimate $\nu = 2.593$ $[ {2.587,2.598} ]$ of the critical exponent of the Chalker-Coddington model of the integer quantum Hall effect that is significantly larger than previous numerical estimates and in disagreement with experiment. We conclude that models of non-interacting electrons cannot explain the critical phenomena of the integer quantum Hall effect.