Plasmon scattering approach to energy exchange and high frequency noise in nu=2 quantum Hall edge channels

TL;DR

This paper develops a plasmon scattering model to analyze energy exchange and high-frequency noise in nu=2 quantum Hall edge channels, matching experimental data and revealing energy loss mechanisms.

Contribution

It introduces an analytical plasmon scattering framework for energy redistribution and noise in quantum Hall edge channels, including strong interaction effects and energy loss assumptions.

Findings

Analytical expressions for energy redistribution and high-frequency noise.

Model reproduces experimental features of energy exchange.

Quantitative agreement achieved with 25% energy loss assumption.

Abstract

Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency noise, which are shown to fully characterize the low energy plasmon scattering. In the strong interaction limit, the predictions for energy redistribution are compared with recent experimental data and found to reproduce most of the observed features. Quantitative agreement can be achieved by assuming 25 % of the injected energy is lost towards other degrees of freedom, possibly the additional gapless excitations predicted for smooth edge potentials.