Energy levels and magneto-optical transitions in parabolic quantum dots with spin-orbit coupling

TL;DR

This paper investigates how spin-orbit coupling affects the energy levels and optical properties of few-electron parabolic quantum dots under magnetic fields, providing precise numerical results for different semiconductor materials.

Contribution

It introduces an accurate numerical method to analyze the influence of spin-orbit coupling on energy spectra and optical absorption in quantum dots with up to four electrons.

Findings

Spin-orbit coupling significantly alters energy spectra.

Results for InAs, InSb, and GaAs quantum dots.

Detailed numerical scheme for energy and optical calculations.

Abstract

We report on the electronic properties of few interacting electrons confined in a parabolic quantum dot based on a theoretical approach developed to investigate the influence of Bychkov-Rashba spin-orbit (SO) interaction on such a system. We note that the spin-orbit coupling profoundly influences the energy spectrum of interacting electrons in a quantum dot. Here we present accurate results for the energy levels and optical-absorption spectra for parabolic quantum dots containing upto four interacting electrons, in the presence of spin-orbit coupling and under the influence of an externally applied, perpendicular magnetic field. We have described in detail about a very accurate numerical scheme to evaluate these quantities. We have evaluated the effects of SO coupling on the Fock-Darwin spectra for quantum dots made out of three different semiconductor systems, InAs, InSb, and GaAs.