
Monoatomic layers of carbon, known as grapheme, possess numerous exceptional properties. From the theoretical point of view, one of the most interesting features is the possibility to use a quasirelativistic approach for description of its properties. We will shortly remind the connection of the Dirac model with the dynamics of electronic excitations in graphene. Using this model we will derive the optical properties of grapheme at nonzero temperature, and calculate the Casimir effect. It will be shown that in hightemperature limit the amplitude of the Casimir interaction of graphene and an ideal metal tends to one half of interaction between two ideal metals. At the same time, for zero temperature the graphenemetal interaction constitutes only 2.5% of the interaction between two metals. Such temperature enhancement of the effect is attributed to arising of nonperturbative regime in graphene.
