Optical properties of a two-dimensional electron gas at even-denominator filling fractions

TL;DR

This paper investigates the optical properties of a two-dimensional electron gas at even-denominator filling fractions using the composite fermion model, revealing unique emission spectra and sensitivity to system parameters.

Contribution

It introduces a detailed analysis of optical responses at fractional quantum Hall states, highlighting differences from zero-field electron-hole systems and the impact of hole-fermion separation.

Findings

Emission spectra shapes differ from zero-field results.

Asymmetry of emission lines depends on hole-fermion separation.

Response characteristics are sensitive to filling fractions.

Abstract

The optical properties of an electron gas in a magnetic field at filling fractions \nu = {1\over 2m} (m=1,2,3...) are investigated using the composite fermion picture. The response of the system to the presence of valence-band holes is calculated. The shapes of the emission spectra are found to differ qualitatively from the well-known electron-hole results at zero magnetic field. In particular, the asymmetry of the emission lineshape is found to be sensitive to the hole-composite fermion plane separation.