Integral charge quasiparticles in a fractional quantum Hall liquid

TL;DR

This paper predicts and analyzes a sharp spectral peak in the fractional quantum Hall liquid's electron spectral function, indicating the presence of integral charge quasiparticles, supported by a collective elastic medium model.

Contribution

It introduces a collective elastic medium model to describe the fractional quantum Hall liquid and predicts a distinct spectral peak as a signature of integral charge quasiparticles.

Findings

Spectral function exhibits a sharp peak at the lowest excitation energy.

Peak is well separated from the higher energy continuum.

Spectral weight of the peak varies with filling factors.

Abstract

Starting from a collective description of the incompressible fractional quantum Hall liquid as an elastic medium that supports gapped neutral excitations I show that the one-electron spectral function of this system exhibits a sharp peak at the lowest available excitation energy, well separated from the continuum spectrum at higher energy. I interpret this peak as the signature of the integral charge quasiparticle recently predicted by Peterson and Jain\cite{Jain05}, and calculate its spectral weight for different filling factors.