Alternative method for the quantitative determination of Rashba- and Dresselhaus spin-orbit interaction using the magnetization

TL;DR

This paper presents a novel magnetization-based method to quantitatively measure Rashba and Dresselhaus spin-orbit interactions in two-dimensional electron systems, using quantum oscillations and anisotropic magnetization analysis.

Contribution

The study introduces a new approach to determine spin-orbit interaction strengths through magnetization measurements in tilted magnetic fields, supported by numerical modeling.

Findings

Magnetization oscillation amplitudes directly relate to SOI strength.

Anisotropic magnetization enables separate quantification of Rashba and Dresselhaus contributions.

Experimental sensitivity is sufficient to detect the predicted effects.

Abstract

The quantum oscillatory magnetization M of a two-dimensional electron system in a magnetic field B is found to provide quantitative information on both the Rashba- and Dresselhaus spin-orbit interaction (SOI). This is shown by first numerically solving the model Hamiltonian including the linear Rashba- and Dresselhaus SOI and the Zeeman term in an in particular doubly tilted magnetic field and second evaluating the intrinsically anisotropic magnetization for different directions of the in-plane magnetic field component. The amplitude of specific magnetic quantum oscillations in M(B) is found to be a direct measure of the SOI strength at fields B where SOI-induced Landau level anticrossings occur. The anisotropic M allows one to quantify the magnitude of both contributions as well as their relative sign. We use realistic sample parameters and show that recently reported experimental techniques provide a sensitivity which allows for the detection of the predicted phenomena.