Current-induced spin polarization and spin-orbit torque in graphene

TL;DR

This paper calculates the current-induced spin polarization and spin-orbit torque in weakly magnetized graphene with Rashba interaction using Green function formalism, revealing all components of spin polarization are nonzero in the general case.

Contribution

It provides analytical formulas for spin polarization and spin-orbit torque components in magnetized graphene with Rashba spin-orbit coupling.

Findings

All components of spin polarization are nonzero in the general case.

Derived analytical formulas for spin polarization and torque.

Identified the relationship between spin polarization and magnetization.

Abstract

Using the Green function formalism we calculate a current-induced spin polarization of weakly magnetized graphene with Rashba spin-orbit interaction. In a general case, all components of the current-induced spin polarization are nonzero, contrary to the nonmagnetic limit, where the only nonvanishing component of spin polarization is that in the graphene plane and normal to electric field. When the induced spin polarization is exchange-coupled to the magnetization, it exerts a spin-orbit torque on the latter. Using the Green function method we have derived some analytical formulas for the spin polarization and also determined the corresponding spin-orbit torque components.