Model of a “Two-dimensional metal–graphene-like compound” junction: consideration for interaction between the components

With the account of interlayer interaction, system of graphene-like compound (GLC) and two-dimensional $d$-metal (2DM) is considered. Within the scope of the diagonal approach corresponding Green functions are obtained. Regime of GLC–2DM weak coupling is studied thoroughly and analytical expressions for the corrections to the occupation numbers, charge transfer and Schottky barrier height are fulfilled. It is demonstrated that the corrections obtained are of significant importance for the metals of the beginning and the end of the $d$-rows.