Spectral function of chiral one-dimensional Fermi liquid in the regime of strong interactions

TL;DR

This paper investigates the spectral function of strongly interacting chiral one-dimensional fermions, such as quantum Hall edge electrons, developing a method to determine peak shapes under strong interactions.

Contribution

The authors introduce a novel approach to analyze the spectral function shape in strongly interacting chiral 1D fermion systems, applicable to short-range and Coulomb interactions.

Findings

Spectral function broadening due to interactions is characterized.

The developed method accurately predicts peak shapes in strong interaction regimes.

Application to quantum Hall edge states demonstrates the approach's effectiveness.

Abstract

We study momentum-resolved tunneling into a system of spinless chiral one-dimensional fermions, such as electrons at the edge of an integer quantum Hall system. Interactions between particles give rise to broadening of the spectral function of the system. We develop an approach that enables one to obtain the shape of the peak in the spectral function in the regime of strong interaction. We apply our technique to the special cases of short-range and Coulomb interactions.