Advanced Modeling of the Electrostatic Field Coupling in Graphene Nanoribbons

The field coupling of Graphene NanoRibbons (GNR), which is very important from the view point of realistic configurations / applications such as in field effect transistor, interconnects, plasmonic transmission lines, is analyzed and presented in this communication. We consider the quasi-static response of two GNRs coupled by Coulomb interaction : the Schr dinger equation in the twodimensional (2D) domain of the GNRs is solved together with the three dimensional (3D) Poisson equation. It is observed that, unless the two GNRs are very close to each other, their Coulomb interaction is not so strong, in the sense that their charge and potential distributions are just slightly distorted by the presence of the other GNR. The effect is even lower in the case of semimetallic GNRs,where the modulation of current and charge by external potential is known to be intrinsically small, owing to the absence of an energy band gap.