Bipolar Hydrodynamical Model for Charge Transport in Graphene Nanoribbons

A hydrodynamical model for charge transport in narrow strips of graphene is here presented. The model takes into account the interactions with the well-known lattice vibrations and with the edge of the strip. The remarkable result is the modulation of the charge current due to the swapping of charge carriers between the conduction and the valence bands, controlled by the Fermi energy variation and by the thickness of the ribbon. The numerical test shows a behavior comparable with that one obtained by solving directly the Boltzmann equation but with a considerable reduction of the computational time.