Electron-phonon interactions on a single-branch quantum Hall edge

TL;DR

This paper investigates how electron-phonon interactions influence edge states in quantum Hall systems, revealing modifications to propagators and the destruction of Fermi liquid behavior, with potential experimental detection methods.

Contribution

It demonstrates that electron-phonon interactions significantly alter quantum Hall edge states, destroying Fermi liquid properties even at integer filling, which was not previously understood.

Findings

Electron-phonon interactions modify the edge state propagator.

Fermi liquid behavior is destroyed at integer filling due to these interactions.

Experimental signatures can be observed in AC and tunneling conductance.

Abstract

We consider the effect of electron-phonon interactions on edge states in quantum Hall systems with a single edge branch. The presence of electron-phonon interactions modifies the single-particle propagator for general quantum Hall edges, and, in particular, destroys the Fermi liquid even at integer filling. The effect of the electron-phonon interactions may be detected experimentally in the AC conductance or in the tunneling conductance between integer quantum Hall edges.