Electronic Spectral Functions for Quantum Hall Edge States

TL;DR

This paper calculates the electronic spectral functions for quantum Hall edge states using a chiral Luttinger liquid model, revealing complex line shapes influenced by Coulomb interactions and suggesting experimental probing methods.

Contribution

It introduces a detailed analysis of spectral functions for quantum Hall edges considering long-range Coulomb effects, which was not thoroughly explored before.

Findings

Spectral functions have finite width and complex line shapes.

Long-range Coulomb interactions significantly affect spectral features.

Proposes vertical tunneling experiments to probe these spectral line shapes.

Abstract

We have evaluated wavevector-dependent electronic spectral functions for integer and fractional quantum Hall edge states using a chiral Luttinger liquid model. The spectral functions have a finite width and a complicated line shape because of the long-range of the Coulomb interaction. We discuss the possibility of probing these line shapes in vertical tunneling experiments.