Analytical expressions are presented for the intraband dyadic conductivity of graphene, fully taking into account its spatially dispersive nature for arbitrary values of the wavevector and the presence of a possible non-zero Fermi energy level. Such expressions are derived from the semi-classical Boltzmann transport equation solved both within the relaxation-time approximation and using the Bhatnagar-Gross-Krook model (which allows an extra degree of freedom to enforce the current continuity equation). Numerical results show that ignoring spatial dispersion lead to dramatic errors in the propagation properties and current profiles of fundamental modes in graphene nanoribbons.
Comparison of Spatially Dispersive Models for Dyadic Intraband Conductivity of Graphene / Lovat, Giampiero; G. W., Hanson; Araneo, Rodolfo; Burghignoli, Paolo. - STAMPA. - -:(2013), pp. 500-504. (Intervento presentato al convegno 7th European Conference on Antennas and Propagation (EuCAP) tenutosi a Gothenburg, SWEDEN nel APR 08-12, 2013).
Comparison of Spatially Dispersive Models for Dyadic Intraband Conductivity of Graphene
LOVAT, GIAMPIERO;ARANEO, Rodolfo;BURGHIGNOLI, Paolo
2013
Abstract
Analytical expressions are presented for the intraband dyadic conductivity of graphene, fully taking into account its spatially dispersive nature for arbitrary values of the wavevector and the presence of a possible non-zero Fermi energy level. Such expressions are derived from the semi-classical Boltzmann transport equation solved both within the relaxation-time approximation and using the Bhatnagar-Gross-Krook model (which allows an extra degree of freedom to enforce the current continuity equation). Numerical results show that ignoring spatial dispersion lead to dramatic errors in the propagation properties and current profiles of fundamental modes in graphene nanoribbons.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.