Rydberg magnetoexcitons in Cu2O quantum wells

Abstract

We present a theoretical approach that allows for calculation of optical functions for a ${\mathrm{Cu}}_{2}\mathrm{O}$ quantum well (QW) with Rydberg excitons, in an external magnetic field of an arbitrary 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 electron-hole potential, which enable us 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 approximation method we are able to estimate the limits between the field regimes. The obtained theoretical magnetoabsorption spectra show a good agreement with available experimental data.