Spin-orbit interaction in the quantum dot

TL;DR

This paper investigates how spin-orbit interaction affects the electronic states and absorption spectrum of a parabolic quantum dot in a magnetic field, providing analytical formulas and experimental comparisons.

Contribution

It derives analytical formulas for the ground state energy including spin-orbit interaction and analyzes its effects on the absorption spectrum of quantum dots.

Findings

Spin-orbit interaction causes splitting of principal absorption modes.

Analytical expressions for ground state energy are obtained.

Results align with experimental observations by Ashoori et al. and Demel et al.

Abstract

The electronic states of a parabolic quantum dot in a magnetic field are studied with the inclusion of the spin-orbit interaction. The analitycal formulae for the ground state energy of the interacting system are derived. The spin-orbit interaction is shown to introduce new features to the far infra-red absorption spectrum, where it leads to the splitting of the two principal modes. The results are compared with the charging experiments by Ashoori et al. and the far infra-red absorption measurements by Demel et al.