Structure of the Magneto-Exciton and Optical Properties in Fractional Quantum Hall Systems

TL;DR

This paper investigates the magneto-exciton energy spectrum and optical properties in fractional quantum Hall systems, revealing how electron-hole separation affects photoluminescence and Raman scattering, including the observation of a doublet structure and a resonance peak at ν=1/3.

Contribution

It provides a detailed theoretical analysis of magneto-exciton spectra and optical responses in fractional quantum Hall systems, including new insights into the doublet structure and resonance phenomena.

Findings

Doublet structure in photoluminescence observed

Resonance peak at ν=1/3 identified

Dependence of spectra on electron-hole separation analyzed

Abstract

We report calculated dependence of magneto-exciton energy spectrum upon electron-hole separation $d$ in Fractional Quantum Hall systems. We calculated the dependence of photoluminescence upon $d$, and we obtained the doublet structure observed recently. The Raman scattering spectrum around resonance is calculated: a robust resonance peak at $\nu=1/3$ around gap value is reported.