Rydberg Magnetoexcitons in Cu$_2$O Quantum Wells

TL;DR

This paper develops a theoretical method to calculate magneto-optical properties of Rydberg excitons in Cu$_2$O quantum wells under various magnetic field strengths and configurations, matching experimental observations.

Contribution

It introduces an analytical approach using the real density matrix and effective e-h potential for magneto-optical calculations in quantum wells with Rydberg excitons.

Findings

Good agreement with experimental magneto-absorption spectra.

Effective estimation of field regime boundaries.

Analytical expressions for optical functions in magnetic fields.

Abstract

We present theoretical approach that allows for calculation of optical functions for Cu$_2$O Quantum Well (QW) with Rydberg excitons in an external magnetic field of an arbitrary field strength. Both Faraday and Voigt configurations are considered, in the energetic region of p-excitons. We use the real density matrix approach and an effective e-h potential, which enable to derive analytical expressions for the QW magneto-optical functions. For both configurations, all three field regimes: weak, intermediate, and high field, are considered and treated separately. With the help of the developed approximeted method we are able to estimate the limits between the field regimes. The obtained theoretical magneto-absorption spectra show a good agreement with available experimental data.