Dielectric function, screening, and plasmons in two-dimensional graphene

2006/10/31 by E. H. Hwang, S. Das Sarma · 10 citations
Engineering · Materials Science · Physics and Astronomy · #Graphene research and applications #Plasmonic and Surface Plasmon Research #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.75.205418

published as Phys. Rev. B 75, 205418 (2007) · 6 pages, 3 figures

openalex publication_date 2007/05/11 · arxiv created 2007/05/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

The dynamical dielectric function of two-dimensional graphene at arbitrary wave vector q and frequency \ensuremathω, ϵ(q,\ensuremathω), is calculated in the self-consistent-field approximation. The results are used to find the dispersion of the plasmon mode and the electrostatic screening of the Coulomb interaction in two-dimensional (2D) graphene layer within the random-phase approximation. At long wavelengths (q\ensuremath→0), the plasmon dispersion shows the local classical behavior \ensuremathω_cl=\ensuremathω₀√(q), but the density dependence of the plasma frequency (\ensuremathω₀\ensuremath∝n^1∕4) is different from the usual 2D electron system (\ensuremathω₀\ensuremath∝n^1∕2). The wave-vector-dependent plasmon dispersion and the static screening function show very different behavior than the usual 2D case. We show that the intrinsic interband contributions to static graphene screening can be effectively absorbed in a background dielectric constant.

Citations

• Electric Field Effect in Atomically Thin Carbon Films

Cited by

• Quasiparticle properties of graphene in the presence of disorder
• Theory of Weiss oscillations in the magnetoplasmon spectrum of Dirac electrons in graphene
• Nonlinear electromagnetic response of graphene: frequency multiplication and the self-consistent-field effects
• Mobility in semiconducting graphene nanoribbons: Phonon, impurity, and edge roughness scattering
• The magnetic field particle–hole excitation spectrum in doped graphene and in a standard two-dimensional electron gas
• Dynamical current-current susceptibility of gapped graphene
• Measurement of collective dynamical mass of Dirac fermions in graphene
• Electron-hole pairing in a topological insulator thin film
• Electrical plasmon detection in graphene waveguides
• Determination of intrinsic lifetime of edge magnetoplasmons