Spin Hall effect in a two-dimensional electron gas in the presence of a magnetic field

TL;DR

This paper investigates how a magnetic field influences the spin Hall effect in a two-dimensional electron gas with spin-orbit interactions, revealing tunable spin Hall conductivity dependent on magnetic field orientation.

Contribution

It demonstrates that the spin Hall conductivity can be controlled by magnetic field components, highlighting the interplay between spin-orbit and Zeeman couplings.

Findings

Spin Hall conductivity is finite only with Zeeman splitting.

Conductivity can be tuned by magnetic field orientation.

Different roles of spin-orbit and Zeeman interactions are identified.

Abstract

We study the spin Hall effect of a two-dimensional electron gas in the presence of a magnetic field and both the Rashba and Dresselhaus spin-orbit interactions. We show that the value of the spin Hall conductivity, which is finite only if the Zeeman spin splitting is taken into account, may be tuned by varying the ratio of the in-plane and out-of-plane components of the applied magnetic field. We identify the origin of this behavior with the different role played by the interplay of spin-orbit and Zeeman couplings for in-plane and out-of-plane magnetic field components.