Electron-electron interactions in a one-dimensional quantum wire spin filter

TL;DR

This paper investigates how electron-electron interactions influence spin polarization and transmission in a one-dimensional quantum wire with Rashba and Zeeman effects, revealing potential impacts on spin filtering efficiency.

Contribution

It introduces a renormalization group analysis of electron-electron interactions in a spin-filtering quantum wire with Rashba and Zeeman effects, highlighting their impact on transmission and polarization.

Findings

Interactions modify transmission coefficients

Interactions affect spin polarization stability

Potential for improved spin filter design

Abstract

The combined presence of a Rashba and a Zeeman effect in a ballistic one-dimensional conductor generates a spin pseudogap and the possibility to propagate a beam with well defined spin orientation. Without interactions transmission through a barrier gives a relatively well polarized beam. Using renormalization group arguments, we examine how electron-electron interactions may affect the transmission coefficient and the polarization of the outgoing beam.