Spin-orbit effects in GaAs quantum wells: Interplay between Rashba, Dresselhaus, and Zeeman interactions

TL;DR

This paper provides an analytical study of how Rashba, Dresselhaus, and Zeeman interactions influence spin-related phenomena in GaAs quantum wells under magnetic fields, with implications for experimental measurements.

Contribution

It introduces an accurate analytical solution of the Hamiltonian including electron-electron interactions to analyze spin-orbit effects in quantum wells.

Findings

Quantified spin-orbit contribution to Landau level splitting

Analyzed effects on charge- and spin-density excitations

Explored impact of magnetic field tilt on spin-orbit interactions

Abstract

The interplay between Rashba, Dresselhaus and Zeeman interactions in a quantum well submitted to an external magnetic field is studied by means of an accurate analytical solution of the Hamiltonian, including electron-electron interactions in a sum rule approach. This solution allows to discuss the influence of the spin-orbit coupling on some relevant quantities that have been measured in inelastic light scattering and electron-spin resonance experiments on quantum wells. In particular, we have evaluated the spin-orbit contribution to the spin splitting of the Landau levels and to the splitting of charge- and spin-density excitations. We also discuss how the spin-orbit effects change if the applied magnetic field is tilted with respect to the direction perpendicular to the quantum well.