Tunneling Effect across a Graphene Barrier

We investigate a model of two macroscopic reservoirs which are separated by a graphene sheet. The sheets remain perpendicular to the reservoirs such that electrical conduction in the reservoirs is a three dimensional phenomena while graphene electrical conduction occurs perpendicular to the reservoirs. It means, as usual, that graphene electrical current is a bidimensional phenomena. We discuss the global electrical current as a function of the initial chemical potential of this system. The analysis include variations due to temperature and due to applied potentials to the reservoirs and to the graphene sheet.