Scaling Behavior of the Activated Conductivity in a Quantum Hall Liquid

TL;DR

This paper introduces a scaling model for the universal longitudinal conductivity in the integer quantum Hall regime, fitting experimental data to understand behavior near the mobility edge across various conditions.

Contribution

The paper presents a new scaling model that accurately describes the activated conductivity in quantum Hall liquids, validated by extensive experimental data fitting.

Findings

Quantitative agreement between model and experiments over wide conditions

Universal behavior of longitudinal conductivity near the mobility edge

Effective description of activated conductance in quantum Hall regime

Abstract

We propose a scaling model for the universal longitudinal conductivity near the mobility edge for the integer quantum Hall liquid. We fit our model with available experimental data on exponentially activated conductance near the Landau level tails in the integer quantum Hall regime. We obtain quantitative agreement between our scaling model and the experimental data over a wide temperature and magnetic field range.