Magnetic Anisotropy in Doped Graphene with Rashba Spin-Orbit Interaction

Abstract

We present our calculations of on-site magnetic anisotropy (MA) in graphene with magnetic atoms. We assume that the graphene layer is placed on a substrate, which generates the homogeneous Rashba spin-orbit field. The resonant state in the presence of Rashba spin-orbit interaction is calculated for two possible orientations of the magnetic moment namely perpendicular, Sz = 1, and parallel, Sz = 0, to the graphene plane. The magnetic anisotropy is calculated as a difference between the energies of these states and presented as a function of impurity potential g0 and magnitude of the Rashba spin-orbit coupling α.