Exact and quasiclassical Green's functions of two-dimensional electron gas with Rashba-Dresselhaus spin-orbit interaction in parallel magnetic field

TL;DR

This paper derives exact and approximate Green's functions for a 2D electron gas with Rashba-Dresselhaus spin-orbit interaction under an in-plane magnetic field, enabling improved calculations of electron density and magnetization.

Contribution

It provides new exact and asymptotic Green's functions for 2D electrons with combined spin-orbit interactions in a magnetic field, including a special case with an exact solution.

Findings

Derived exact Green's function for the system.

Obtained asymptotic expressions for the Green's function.

Applied the Green's function to calculate electron density and magnetization.

Abstract

New exact and asymptotical results for the one particle Green's function of 2D electrons with combined Rashba - Dresselhaus spin - orbit interaction in the presence of in-plane uniform magnetic field are presented. A special case that allows an exact analytical solution is also highlighted. To demonstrate the advantages of our approach we apply the obtained Green's function to calculation of electron density and magnetization