Dynamical scaling of the quantum Hall plateau transition

TL;DR

This paper investigates the dynamical scaling behavior of the quantum Hall plateau transition across a broad frequency range, revealing a universal scaling function and critical exponents through experimental analysis and literature synthesis.

Contribution

It introduces a unified scaling analysis scheme applicable to various experiments and literature data, providing new insights into the universal properties of the quantum Hall transition.

Findings

Universal scaling function identified

Dynamical exponent z estimated as 0.9 +/- 0.2

Scaling exponent kappa determined as 0.5 +/- 0.1

Abstract

Using different experimental techniques we examine the dynamical scaling of the quantum Hall plateau transition in a frequency range f = 0.1-55 GHz. We present a scheme that allows for a simultaneous scaling analysis of these experiments and all other data in literature. We observe a universal scaling function with an exponent kappa = 0.5 +/- 0.1, yielding a dynamical exponent z = 0.9 +/- 0.2.