Photoluminescence spectrum of an interacting two-dimensional electron gas at \nu=1

TL;DR

This paper presents a theoretical analysis of the photoluminescence spectrum of an interacting two-dimensional electron gas at filling factor one, revealing how the emission spectra relate to excitonic states and quantum Hall skyrmions.

Contribution

The study introduces an analytical bosonization approach to model the photoluminescence spectra at , connecting spectral features to excitonic and skyrmion states.

Findings

Polarized spectra linked to excitonic recombination when electron-hole distance is small.

Spectra for larger distances relate to recombination involving spin waves and skyrmions.

Theoretical spectra match expected behaviors of quantum Hall states.

Abstract

We report on the theoretical photoluminescence spectrum of the interacting two-dimensional electron gas at filling factor one (\nu=1). We considered a model similar to the one adopted to study the X-ray spectra of metals and solved it analytically using the bosonization method previously developed for the two-dimensional electron gas at \nu=1. We calculated the emission spectra of the right and the left circularly polarized radiations for the situations where the distance between the two-dimensional electron gas and the valence band hole are smaller and greater than the magnetic length. For the former, we showed that the polarized photoluminescence spectra can be understood as the recombination of the so-called excitonic state with the valence band hole whereas, for the latter, the observed emission spectra can be related to the recombination of a state formed by a spin down electron bound to n spin waves. This state seems to be a good description for the quantum Hall skyrmion.