Optical absorption in incoherent and coherent states of a quantum Hall system

TL;DR

This paper investigates how magneto-excitons in a quantum Hall system affect optical absorption, analyzing the transition from incoherent to coherent states and its implications for light-matter interactions.

Contribution

It provides a comparative analysis of incoherent and coherent magneto-exciton states and discusses conditions for a phase transition in a quantum Hall system.

Findings

Coherent magneto-exciton states can significantly alter optical absorption.

Conditions for phase transition from incoherent to coherent states are identified.

Analysis enhances understanding of light absorption in quantum Hall systems.

Abstract

In connection with recent studies of extremely long-living spin-cyclotron excitations (actually magneto-excitons) in a quantum Hall electron gas, we discuss contribution to the light-absorption related to the presence of a magneto-exciton ensemble in this purely electronic system. Since the weakly interacting excitations have to obey the Bose-Einstein statistics, one can expect appearance of a coherent state in the ensemble. A comparative analysis of both incoherent and coherent cases is done. Conditions for a phase transition from the incoherent state to the coherent one are discussed.