Magnetization of epitaxial graphene induced by magnetic metallic substrate

Model of energy diagram for the graphene monolayer (Gr) fabricated on magnetic transition metal (MTM) is proposed. Regimes of the strong and weak Gr-MTM coupling are discussed and corresponding analytical expressions for the substrate induced magnetization of epigraphene are obtained. It is shown that in the case of strong coupling the main contribution in magnetization are given by the quasi-local state which leads to the antiferromagnetic Gr-MTM bond, while in the case of weak coupling the main contribution in magnetization are given by the MTM $d$-band which leads to the ferromagnetic Gr-MTM bond. Numerical estimates for the Gr/Ni(111) and Gr/Co(poly) heterostructures are fulfilled and compared with the experimental data for Gr/Ni(111) and numerical calculations for Gr/Co/Ni(111). In the first case we have obtained the quantitative agreement, in the second case only the qualitative correspondence is achieved.