Landau level mixing by full spin-orbit interactions

TL;DR

This paper develops an approximate analytical formula for Landau levels in a 2D electron gas with spin-orbit interactions, validated by numerical calculations, revealing modifications to Zeeman coupling.

Contribution

It introduces a Bogoliubov transformation-based method to simplify and accurately approximate Landau levels in systems with Rashba and Dresselhaus interactions.

Findings

Excellent agreement between approximate and numerical results at high magnetic fields.

Modified effective Zeeman coupling due to spin-orbit interactions.

Simplified analytical approach for Landau level calculations.

Abstract

We study a two-dimensional electron gas in a perpendicular magnetic field in the presence of both Rashba and Dresselhaus spin-orbit interactions. Using a Bogoliubov transformation we are able to write an approximate formula for the Landau levels, thanks to the simpler form of the resulting Hamiltonian. The exact numerical calculation of the energy levels, is also made simpler by our formulation. The approximate formula and the exact numerical results show excellent agreement for typical semiconductors, especially at high magnetic fields. We also show how effective Zeeman coupling is modified by spin-orbit interactions.