Dielectric function, screening, and plasmons in 2D graphene

Abstract

The dynamical dielectric function of two dimensional graphene at arbitrary wave vector $q$ and frequency $\omega$, $\epsilon (q,\omega )$, 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 2D graphene layer within the random phase approximation. At long wavelengths ($q\to 0$) the plasmon dispersion shows the local classical behavior ${\omega }_{cl}={\omega }_0\sqrt{q}$, but the density dependence of the plasma frequency (${\omega }_0\propto n^{1/4}$) is different from the usual 2D electron system (${\omega }_0\propto n^{1/2}$). The wave vector dependent plasmon dispersion and the static screening function show very different behavior than the usual 2D case.

6 pages, 3 figures

References in corpus (2)

• Electric Field Effect in Atomically Thin Carbon Films
• Carrier transport in 2D graphene layers

Cited by in corpus (36)

• The electronic properties of graphene
• A self-consistent theory for graphene transport
• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Screening induced temperature dependent transport in 2D graphene
• Gate-controlled non-volatile graphene-ferroelectric memory
• How perfect can graphene be?
• Collective modes of the massless Dirac plasma
• Dynamical polarization, screening, and plasmons in gapped graphene
• Chirality and Correlations in Graphene
• Single particle relaxation time versus transport scattering time in a 2D graphene layer
• Dirac-point engineering and topological phase transitions in honeycomb optical lattices
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Nonlinear screening and ballistic transport in a graphene p-n junction
• Inelastic carrier lifetime in graphene
• Boltzmann transport and residual conductivity in bilayer graphene
• Density-Functional Theory of Graphene Sheets
• The quasiparticle spectral function in doped graphene
• Collective modes of doped graphene and a standard 2DEG in a strong magnetic field: linear magneto-plasmons versus magneto-excitons
• Linear response of doped graphene sheets to vector potentials
• Charge response function and a novel plasmon mode in graphene
• Dielectric function and plasmons in graphene
• Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
• Density dependent exchange contribution to $\partial \mu /\partial n$ in extrinsic graphene
• Theory of charged impurity scattering in two dimensional graphene
• Scattering mechanisms and Boltzmann transport in graphene
• Electron-electron interaction and charging effects in graphene quantum dots
• First-Principles Study of Electron Linewidths in Graphene
• Orientation dependence of the optical spectra in graphene at high frequencies
• Fermi Velocity Enhancement in Monolayer and Bilayer Graphene
• Transport in suspended graphene
• Interactions and magnetism in graphene boundary states
• Transport in a Clean Graphene Sheet at Finite Temperature and Frequency
• Graphene magnetoresistance in a parallel magnetic field: Spin polarization effect
• Many-body exchange-correlation effects in graphene
• Inter-band magnetoplasmons in mono- and bi-layer graphene
• Neutral triplet Collective Mode as a new decay channel in Graphite