Charge redistribution between cyclotron-resolved edge states at high imbalance

TL;DR

This study investigates charge redistribution between cyclotron-split edge states at high imbalance in the quantum Hall regime, introducing a modified theoretical model that describes the transfer process with a universal parameter.

Contribution

It introduces a modified Buttiker formalism incorporating local transport characteristics to describe charge transfer between edge states at high imbalance.

Findings

Charge transfer is described by a universal parameter independent of sample specifics.

The parameter depends on voltage imbalance between edge states.

Experimental results support the modified theoretical model.

Abstract

We use a quasi-Corbino sample geometry with independent contacts to different edge states in the quantum Hall effect regime to investigate a charge redistribution between cyclotron-split edge states at high imbalance. We also modify Buttiker formalism by introducing local transport characteristics in it and use this modified Buttiker picture to describe the experimental results. We find that charge transfer between cyclotron-split edge states at high imbalance can be described by a single parameter, which is a transferred between edge states portion of the available for transfer part of the electrochemical potential imbalance. This parameter is found to be independent of the particular sample characteristics, describing fundamental properties of the inter-edge-state scattering. From the experiment we obtain it in the dependence on the voltage imbalance between edge states and propose a qualitative explanation to the experimental findings.