# Electron energy spectrum and oscillator strengths of quantum transitions in double quantum ring nanostructure driven by electric field

## TL;DR

This study investigates how a homogeneous electric field influences the energy spectrum, wave functions, and oscillator strengths of intra-band quantum transitions in a double quantum ring nanostructure, revealing non-monotonous dependencies.

## Contribution

It introduces a detailed analysis of electric field effects on electron localization and transition properties in double quantum rings using an exact wave function expansion method.

## Key findings

- Electric field significantly alters electron localization in the rings.
- Electron energies and oscillator strengths depend non-monotonously on electric field intensity.
- The method provides precise calculations of quantum transition properties in nanostructures.

## Abstract

The effect of homogeneous electric field on the energy spectrum, wave functions of electron and oscillator strengths of intra-band quantum transitions in a double cylindrical quantum ring (GaAs/Al$_{x}$Ga$_{1-x}$As) is studied within the approximations of effective mass and rectangular potentials. The calculations are performed using the method of expansion of quasiparticle wave function over a complete set of cylindrical wave functions obtained as exact solutions of Schr\"odinger equation for an electron in a nanostructure without electric field. It is shown that the electric field essentially affects the electron localization in the rings of a nanostructure. Herein, the electron energies and oscillator strengths of intra-band quantum transitions non-monotonously depend on the intensity of electric field.