In-plane electric field effect on a spin-orbit coupled two-dimensional electron system in presence of magnetic field

TL;DR

This paper investigates how an in-plane electric field affects Landau levels, spin splitting, polarization, and spin current in a Rashba spin-orbit coupled 2D electron system under magnetic field, revealing electric field-dependent behaviors.

Contribution

It demonstrates the electric field dependence of Landau level spacing and spin properties in a Rashba 2D electron system, highlighting edge effects and spin dynamics.

Findings

Electric field reduces spin splitting energy at a given magnetic field.

Landau level spacing becomes electric field dependent, especially at edges.

Spin polarization vector rotates anti-clockwise with increasing electric field.

Abstract

The effect of in-plane electric field on Landau level spacing, spin splitting energy, average spin polarization and average spin current in the bulk as well as at the edges of a two-dimensional electron system with Rashba spin-orbit coupling are presented here. The spin splitting energy for a particular magnetic field is found to be reduced by the external in-plane electric field. Unlike the case of a two-dimensional electron system without Rashba spin-orbit interaction, here the Landau level spacing is electric field dependent. This dependency becomes stronger at the edges in comparison to the bulk. The average spin polarization vector rotates anti-clockwise with the increase of electric field. The average spin current also gets influenced significantly by the application of the in-plane electric field.