Plasmon modes of coupled quantum Hall edge channels in the presence of disorder-induced tunneling

TL;DR

This paper models the complex behavior of coupled quantum Hall edge channels considering Coulomb interactions and disorder-induced tunneling, providing insights into their transport eigenmodes and proposing experimental methods for their determination.

Contribution

It introduces an effective model incorporating Coulomb interaction and disorder tunneling to explain eigenmode behavior in quantum Hall edge channels.

Findings

Transport eigenmodes depend on coupling capacitance and tunneling conductance.

The model predicts how eigenmodes evolve with measurement frequency.

Proposes experimental methods to identify eigenmodes using the model.

Abstract

Coupled quantum Hall edge channels show intriguing non-trivial modes, for example, charge and neutral modes at Landau level filling factors 2 and 2/3. We propose an appropriate and effective model with Coulomb interaction and disorder-induced tunneling characterized by coupling capacitances and tunneling conductances, respectively. This model explains how the transport eigenmodes, within the interaction- and disorder-dominated regimes, change with the coupling capacitance, tunneling conductance, and measurement frequency. We propose frequency- and time-domain transport experiments, from which eigenmodes can be determined using this model.