Spin-Hall conductivity of a disordered 2D electron gas with Dresselhaus spin-orbit interaction

TL;DR

This paper calculates the spin-Hall conductivity in a disordered 2D electron gas considering Dresselhaus spin-orbit interaction, revealing non-zero effects unlike the Rashba case and exploring induced spin currents by inhomogeneous electric fields.

Contribution

It provides a theoretical analysis of spin-Hall conductivity with Dresselhaus interaction, highlighting differences from Rashba interaction and effects of inhomogeneous electric fields.

Findings

Spin-Hall conductivity is non-zero with Dresselhaus interaction.

Inhomogeneous electric fields induce vortex spin-Hall currents.

Disorder effects suppress spin-Hall conductivity in Rashba systems.

Abstract

The spin-Hall conductivity of a disordered 2D electron gas has been calculated for an arbitrary spin-orbit interaction. We have found that in the diffusive regime of electron transport, in accordance with previous calculations, the dc spin-Hall conductivity of a homogeneous system turns to zero due to impurity scattering when the spin-orbit coupling is represented only by the Rashba interaction. However, when the Dresselhaus interaction is taken into account, the spin-Hall current is not zero. We also considered the spin-Hall currents induced by an inhomogeneous electric field. It is shown that a time dependent electric charge induces a vortex of spin-Hall currents.