Inter-layer edge tunneling and transport properties in separately contacted double-layer quantum Hall systems

TL;DR

This paper develops a theoretical model for transport in double-layer quantum Hall systems with separate contacts, analyzing how inter-layer tunneling affects resistance and current transfer, aligning with recent experimental findings.

Contribution

It introduces a detailed theory for transport in double-layer quantum Hall systems considering inter-layer tunneling and electrode configurations, providing new insights into edge state equilibration.

Findings

Resistances depend on inter-layer tunneling amplitude.

Induced current in one layer by current in the other is quantified.

Reflection at leads influences transport results.

Abstract

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers at the edge states. Resistances and transresistances for various configurations of the electrodes are calculated as functions of the inter-layer tunneling amplitude. Induced current in one of the layer by a current in the other is calculated also. It is shown that reflection at the leads causes change in the results for some electrode configurations. The results obtained in this work is consistent with recent experiments.