Electro-optical properties of excitons in Cu$_2$O quantum wells: I discrete states

TL;DR

This paper provides theoretical calculations of the electro-optical properties of Rydberg excitons in Cu$_2$O quantum wells under various electric field configurations, revealing discrete excitonic states and their optical responses.

Contribution

It introduces analytical expressions for the electro-optical functions of Cu$_2$O quantum wells with Rydberg excitons in external electric fields, covering both perpendicular and parallel field orientations.

Findings

Analytical formulas for QW electro-optical functions derived.

Absorption spectra calculated for energies below the gap.

Electric field influences on discrete excitonic states characterized.

Abstract

We present theoretical results of the calculations of optical functions for Cu$_2$O quantum well (QW) with Rydberg excitons in an external homogeneous electric field of an arbitrary field strength. Two configurations of an external electric field perpendicular and parallel to the QW planes are considered in the energetic region for discrete excitonic states and continuum states. With the help of the real density matrix approach, which enables the derivation of the analytical expressions for the QW electro-optical functions, absorption spectra are calculated for the case of the excitation energy below the gap energy.