Magnetization of a homogeneous two dimensional fermion gas with repulsive contact interaction and Rashba spin-orbit potential

TL;DR

This paper investigates how Rashba spin-orbit interaction influences z-axis magnetization in a 2D fermion gas with repulsive contact interactions, revealing suppression of spin alignment and a smoothed magnetic transition.

Contribution

It provides a quantum field theoretical analysis of magnetization in a 2D fermion gas considering both contact interactions and Rashba spin-orbit coupling, highlighting their combined effects.

Findings

Rashba interaction hinders z-axis spin alignment.

A critical repulsive interaction strength induces a magnetic transition.

Rashba interaction smooths the transition to a magnetized state.

Abstract

The z axis magnetization of a two dimensional electron gas with contact repulsive interaction and in presence of a Rashba potential is computed by means of quantum field theory at second order. A striking effect of the pure Rashba interaction is that of hindering spin alignment along the z direction. Evidence of transition at critical repulsive interaction coupling constant is still found. The degree of magnetization, however, shows a clear dependence on the spin-orbit interaction strength. Furthermore, the transition to magnetized state appears to be smoothed by the presence of the Rashba interaction.