Charge and spin Hall effect in graphene with magnetic impurities

TL;DR

This paper demonstrates that graphene with spin-orbit interaction and magnetic impurities exhibits finite charge and spin Hall conductivities, which can be observed experimentally by tuning the chemical potential near the gap.

Contribution

It reveals the combined effect of spin-orbit interaction and magnetic impurities on charge and spin Hall effects in graphene, highlighting their experimental observability.

Findings

Finite charge and spin Hall conductivities in graphene with impurities.

Spin-dependent forces lead to spin Hall currents.

Charge imbalance at boundaries due to magnetic scatterers.

Abstract

We point out the existence of finite charge and spin Hall conductivities of graphene in the presence of a spin orbit interaction (SOI) and localized magnetic impurities. The SOI in graphene results in different transverse forces on the two spin channels yielding the spin Hall current. The magnetic scatterers act as spin-dependent barriers, and in combination with the SOI effect lead to a charge imbalance at the boundaries. As indicated here, the charge and spin Hall effects should be observable in graphene by changing the chemical potential close to the gap.