On the theory of electronic states of monoatomic layers of alkaline- and rare-earth metals adsorbed on the surface of graphene

Using the Anderson model, we examined the electronic states of ordered layers of alkaline and rare earth metals adsorbed on the surface of graphene. We analyze the behavior of the density of states of the system. The case of the adsorbed metal nanolayer with a discrete energy spectrum of carriers is also discussed. We have proposed a system with electronic states that can be controlled by an applied electric field, the system being of great practical interest. The qualitative difference in the approach of the existing theoretical works on this problem is that, unlike the present work they do use the 'single adatomic' formalism, which does not contain the band structure of the metal adlayer. We also considered a possible way of describing the electronic states of the adsorbed layer of atoms Gd and other metal layers with a fractal structure on the surface of graphene.