Bipolar Hydrodynamical Model for Charge Transport in Graphene Nanoribbons

Abstract

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.

KEYWORDS:

• Graphene
• nanoribbons
• edge scattering
• maximum entropy principle
• hydrodynamical model

Acknowledgments

The authors acknowledge the support from INdAM (GNFM) and from Università degli Studi di Catania, Piano della Ricerca 2020/2022 Linea di intervento 2 “QICT” and “Progetto Giovani GNFM 2020”. V. D. Camiola acknowledges the financial support from the project AIM, Mobilità dei Ricercatori Asse I del PON R & I 2014-2020, proposta AIM1893589. G. Nastasi acknowledges the financial support from the project PON R & I 2014–2020 “Asse IV - Istruzione e ricerca per il recupero - REACT-EU, Azione IV.4 - Dottorati e contratti di ricerca su tematiche dell’innovazione”, project: “Modellizzazione, simulazione e design di transistori innovativi”.