Spin-orbit effect on electron-electron interaction and fine structure of electron complexes in quantum dots

TL;DR

This paper theoretically investigates how spin-orbit coupling influences electron-electron interactions and the fine structure of electron pairs in quantum dots, revealing complete triplet degeneracy lifting in anisotropic dots.

Contribution

It develops a theoretical framework to calculate spin-orbit induced corrections to Coulomb interactions and applies it to analyze fine structures in quantum dot electron pairs.

Findings

Spin degeneracy of triplet states is fully lifted in anisotropic quantum dots.

Peculiar fine structure of triplet states arises from spin-orbit interaction in isotropic dots.

The theory explains how quantum dot shape affects electron state splitting.

Abstract

Spin-orbit effects on electron-electron interaction are studied theoretically. The corrections to the Coulomb interaction of quantum well electrons induced by the spin-orbit coupling are derived. The developed theory is applied to calculate the energy spectrum fine structure of an electron pair triplet states localized in small lateral disk-shaped quantum dots. We show that the spin degeneracy of a triplet state is completely lifted in anisotropic quantum dots. Isotropic quantum dots also demonstrate peculiar fine structure of triplet states caused by the spin-orbit interaction.