  An elegant approach on the synthesis of graphene on the strong ferromagnetic
(FM) material Mn$_5$Ge$_3$ is proposed via intercalation of Mn in the
graphene-Ge(111) interface. According to the DFT calculations, graphene in this
strongly interacting system demonstrates the large exchange splitting of the
graphene-derived $\pi$ band. In this case only spin-up electrons in graphene
preserve the Dirac-electron-like character in the vicinity of the Fermi level
and the K point, whereas such behavior is not detected for the spin-down
electrons. This unique feature of the studied gr/FM-Mn$_5$Ge$_3$ interface
which can be prepared on the semiconducting Ge can lead to its application in
spintronics.
