Decoherence and relaxation of single electron excitations in quantum Hall edge channels

TL;DR

This paper presents a unified bosonization-based approach to analyze decoherence and relaxation of single electron excitations in quantum Hall edge channels, linking microscopic interactions to high-frequency transport properties.

Contribution

It introduces a comprehensive method to compute decoherence and relaxation effects in quantum Hall edge channels considering interactions and external circuit coupling.

Findings

Relaxation and decoherence are quantitatively described within the bosonization framework.

The approach connects microscopic electron dynamics to high-frequency transport measurements.

External circuit coupling significantly influences electron coherence in quantum Hall systems.

Abstract

A unified approach to decoherence and relaxation of energy resolved single electron excitations in Integer Quantum Hall edge channels is presented. Within the bosonization framework, relaxation and decoherence induced by interactions and capacitive coupling to an external linear circuit are computed. An explicit connexion with high frequency transport properties of a two terminal device formed by the edge channel on one side and the linear circuit on the other side is established.