Renormalization of spin-orbit coupling in quantum dots due to Zeeman interaction

TL;DR

This paper presents an analytical method to understand how Zeeman interaction renormalizes spin-orbit coupling in quantum dots, aligning theoretical predictions with experimental conductance fluctuation observations.

Contribution

It introduces a partial diagonalization approach that simultaneously considers spin-orbit and Zeeman effects, revealing their interplay in quantum dot Hamiltonians.

Findings

Renormalization of spin-orbit coupling due to Zeeman interaction

Good agreement between model predictions and experimental conductance data

Analytical framework for quantum dot spin interactions

Abstract

We derive analitycally a partial diagonalization of the Hamiltonian representing a quantum dot including spin-orbit interaction and Zeeman energy on an equal footing. It is shown that the interplay between these two terms results in a renormalization of the spin-orbit intensity. The relation between this feature and experimental observations on conductance fluctuations is discussed, finding a good agreement between the model predictions and the experimental behavior.