Plasmon dispersion in semimetallic armchair graphene nanoribbons

Abstract

The dispersion relations for plasmons in intrinsic and extrinsic semimetallic armchair graphene nanoribbons (acGNR) are calculated in the random phase approximation using the orthogonal p_z-orbital tight binding method. Our model predicts new plasmons for acGNR of odd atomic widths N=5,11,17,... Our model further predicts plasmons in acGNR of even atomic width N=2,8,14,... related to those found using a Dirac continuum model, but with different quantitative dispersion characteristics. We find that the dispersion of all plasmons in semimetallic acGNR depends strongly on the localization of the p_z electronic wavefunctions. We also find that overlap integrals for acGNR behave in a more complex way than predicted by the Dirac continuum model, suggesting that these plasmons will experience a small damping for all q not equal to 0. Plasmons in extrinsic semimetallic acGNR with the chemical potential in the lowest (highest) conduction (valence) band are found to have dispersion characteristics nearly identical to their intrinsic counterparts, with negligible differencs in dispersion arising from the slight differences in overlap integrals for the interband and intraband transitions.

8 pages, 9 figures

References in corpus (11)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Energy Gaps in Graphene Nanoribbons
• Dielectric function, screening, and plasmons in 2D graphene
• Electronic States of Graphene Nanoribbons
• Edge and waveguide THz surface plasmon modes in graphene micro-ribbons
• Carrier dynamics in epitaxial graphene close to the Dirac point
• Armchair graphene nanoribbons: Electronic structure and electric field modulation
• Charge response function and a novel plasmon mode in graphene
• Dielectric function and plasmons in graphene
• An Extended Huckel Theory based Atomistic Model for Graphene Nanoelectronics

Cited by in corpus (12)

• Plasmons in graphene: Recent progress and applications
• A Primer on Surface Plasmon-Polaritons in Graphene
• Measuring Hall Viscosity of Graphene's Electron Fluid
• Nonlinear response of metallic acGNR to an elliptically-polarized terahertz excitation field
• Scattering of Graphene plasmons by defects in the graphene sheet
• Plasmon modes of graphene nanoribbons with periodic planar arrangements
• Graphene nanoribbon based spaser
• First-principles study of the terahertz third-order nonlinear response of metallic armchair graphene nanoribbons
• Emergent scale invariance of non-classical plasmons in graphene nanoribbons
• Quantum Size Effects in the Terahertz Nonlinear Response of Metallic Armchair Graphene Nanoribbons
• Collective Modes of Massive Dirac Fermions in Armchair Graphene Nanoribbons
• Influence of spherical anisotropy on optical mass sensing in a molecular-plasmonic optomechanical system