Magnetooptical Properties of Rydberg Excitons - Center-of-Mass Quantization Approach

TL;DR

This paper develops an analytical method to compute magnetooptical functions involving Rydberg exciton-polaritons, accounting for coherence and polaritonic effects, and validates it with experimental data on Cu2O crystals.

Contribution

It introduces an analytical approach using the Real Density Matrix Approach to model magnetooptical properties of Rydberg excitons, including coherence and polaritonic effects.

Findings

Analytical expressions for magnetooptical functions are derived.

Numerical calculations match experimental data.

Magnetic field influences excitonic spectra resonance displacement.

Abstract

We show how to compute the magnetooptical functions (absorption, reflection, and transmission) when Rydberg Exciton-Polaritons appear, including the effect of the coherence between the electron-hole pair and the electromagnetic field, and the polaritonic effect. Using the Real Density Matrix Approach the analytical expressions for magnetooptical functions are obtained and numerical calculations for Cu$_2$0 crystal are performed. The influence of the strength of applied external magnetic field on the resonance displacement of excitonic spectra is discussed. We report a good agreement with recently published experimental data.