Resonant Spin Polarization and Hall Effects in a Two-Dimensional Electron Gas

TL;DR

This paper investigates how equal Rashba and Dresselhaus spin-orbit interactions in a 2D electron gas lead to resonant charge and spin Hall effects at specific magnetic fields, revealing a link between Landau level crossings and spin polarization.

Contribution

It provides an exact solution showing resonant Hall effects and spin polarization due to Landau level crossings in a 2D electron gas with balanced spin-orbit interactions.

Findings

Resonant charge and spin Hall conductances occur at specific magnetic fields.

Resonant spin polarization is observed near Landau level crossings.

The system exhibits strong coupling between spin polarization and Hall effects.

Abstract

We have studied transport properties in a two-dimensional electron gas with equal Rashba and Dresselhaus spin-orbit interactions under a perpendicular magnetic field. By employing the exact solution for this system, we found resonant charge and spin Hall conductances at a certain magnetic field, where all the nearest-neighboring Landau levels cross. Near this value of magnetic field, there exists a resonant spin polarization, which can also induce resonant charge and spin Hall effects.