Electronic spectrum of encapsulated monolayers: analytical results

The Green’s function method has been used to obtain the dispersion law for a monolayer sandwiched between two crystalline planes. The regimes of weak and strong interaction of the monolayer with the environment have been discussed in detail. For the graphene, hexagonal boron-nitride – metal-monolayer – ilicon-carbide polytype systems, expressions for the effective electron masses have been obtained. It has been shown that, with an increase in the band gap of the SiC polytype, the effective mass decreases.