Dissipation effects in spin-Hall transport of electrons and holes

TL;DR

This paper examines the spin-Hall effect in semiconductors for electrons and holes, emphasizing the importance of the zero-frequency limit and finite momentum relaxation, revealing that spin-Hall conductivity vanishes with zero spin-orbit coupling.

Contribution

It provides a rigorous analysis of the spin-Hall effect considering realistic conditions, clarifying the validity of previous theoretical results.

Findings

Spin-Hall conductivity vanishes at zero spin-orbit coupling.

Correct zero-frequency limit is crucial for accurate results.

Finite momentum relaxation affects the spin-Hall effect analysis.

Abstract

We investigate the spin-Hall effect of both electrons and holes in semiconductors using the Kubo formula in the correct zero-frequency limit taking into account the finite momentum relaxation time of carriers in real semiconductors. This approach allows to analyze the range of validity of recent theoretical findings. In particular, the spin-Hall conductivity vanishes for vanishing spin-orbit coupling if the correct zero-frequency limit is performed.