Dynamical scaling at the quantum Hall transition: Coulomb blockade versus phase breaking

TL;DR

This paper proposes a two-scale dynamical model for the integer quantum Hall transition, emphasizing the roles of Coulomb blockade effects and phase-breaking dephasing, with implications for experimental observations.

Contribution

It introduces a novel two-length-scale framework incorporating charging effects and dephasing, advancing understanding of quantum Hall transition dynamics.

Findings

Two independent length scales govern the finite temperature dynamics.

Two critical exponents describe the interplay between charging and dephasing.

Experimental implications of the two-scale model are discussed.

Abstract

We argue that the finite temperature dynamics of the integer quantum Hall system is governed by two independent length scales. The consistent scaling description of the transition makes crucial use of two temperature critical exponents, reflecting the interplay between charging effects and interaction-induced dephasing. Experimental implications of the two-scale picture are discussed.