Spin-orbit coupling and magnetic field dependence of carriers states in a self-assembled quantum dot

TL;DR

This paper investigates how spin-orbit coupling affects the magnetic field dependence of carrier states in self-assembled quantum dots, using multi-band k.p models to analyze hole energy levels and g-factors.

Contribution

It provides a detailed analysis of spin-orbit effects on hole states in quantum dots using 6, 8, and 14 band models, and introduces a phenomenological fit for magnetic field dependence.

Findings

Spin-orbit coupling significantly influences hole energy levels.

Phenomenological model accurately fits magnetic field dependence.

Electron and hole g-factors show good agreement across models.

Abstract

In this work I investigate the influence of spin-orbit coupling on the magnetic field dependence of carrier states in a self-assembled quantum dot. I calculate the hole energy levels using the 6, 8 and 14 band k.p model. Through a detailed study within these models, I extract the information about the impact of various spin-orbital coupling channels in the hole p-shell. I also show that complicated magnetic field dependence of the hole p-shell resulting from numerical simulations, can be very well fitted using a phenomenological model. I compare the electron and hole g-factors calculated within 8 and 14 band k.p models and show that these methods give reasonably good agreement.