Non-local models and effects in graphene nanointerconnects

A non-local formulation for the intraband dyadic conductivity of graphene is presented and applied to the study of electromagnetic propagation of modes supported by graphene nanoribbons. A semiclassical formulation for electron dynamics in graphene is adopted, which fully takes into account both spatial dispersion for arbitrary values of the wavevector and the presence of electrostatic bias. The resulting conductivity model is used in a method-of-moments modal approach; numerical results show that spatial dispersion considerably affects the propagation properties of the graphene nanoribbons and the relevant modal current distribution with respect to the conventional local models for the graphene conductivity.