Quasi-particle behavior of composite fermions in the half-filled Landau level

TL;DR

This paper investigates how infrared fluctuations affect composite fermions in the half-filled Landau level, showing they remain quasi-particles but with significant damping and spectral broadening.

Contribution

It introduces a higher-dimensional bosonization approach on a curved Fermi surface to analyze the impact of gauge field fluctuations on composite fermions.

Findings

Composite fermions remain well-defined quasi-particles.

Effective mass remains close to mean-field value.

Spectral function shows large damping and weight away from the peak.

Abstract

We calculate the effect of infrared fluctuations of the Chern-Simons gauge field on the single-particle Green's function of composite fermions in the half-filled Landau level via higher-dimensional bosonization on a curved Fermi surface. We find that composite fermions remain well-defined quasi-particles, with an effective mass given by the mean-field value, but with anomalously large damping and a spectral function that contains considerable weight away from the quasi-particle peak.