Controlling Spin-Polarization in Graphene by Cloaking Magnetic and Spin-Orbit Scatterers

We consider spin-dependent scatterers with large scattering cross-sections in graphene -a Zeeman-like and an intrinsic spin-orbit coupling impurity- and show that a gated ring around them can be engineered to produce an effcient control of the spin dependent transport, like current spin polarization and spin Hall angle. Our analysis is based on a spin-dependent partial-waves expansion of the electronic wave-functions in the continuum approximation, described by the Dirac equation.