Disorder effect of resonant spin Hall effect in a tilted magnetic field

TL;DR

This paper investigates how disorder affects the resonant spin Hall effect in a 2D electron system with Rashba coupling under a tilted magnetic field, revealing a double-peak conductance pattern due to impurity scattering.

Contribution

It introduces a theoretical analysis of disorder effects on the resonant spin Hall effect using the self-consistent Born approximation and demonstrates the impact of a tilted magnetic field.

Findings

Disorder broadens Landau levels, affecting the spin Hall conductance.

Resonant conductance exhibits a double peak around the resonance point.

Tilted magnetic field influences the recovery of the resonant effect.

Abstract

We study the disorder effect of resonant spin Hall effect in a two-dimension electron system with Rashba coupling in the presence of a tilted magnetic field. The competition between the Rashba coupling and the Zeeman coupling leads to the energy crossing of the Landau levels, which gives rise to the resonant spin Hall effect. Utilizing the Streda's formula within the self-consistent Born approximation, we find that the impurity scattering broadens the energy levels, and the resonant spin Hall conductance exhibits a double peak around the resonant point, which is recovered in an applied titled magnetic field.