First-principles Theory of Nonlocal Screening in Graphene

Abstract

Using the quasiparticle self-consistent GW (QSGW) and local-density (LD) approximations, we calculate the q-dependent static dielectric function, and derive an effective 2D dielectric function corresponding to screening of point charges. In the q-to-0 limit, the 2D function is found to scale approximately as the square root of the macroscopic dielectric function. Its value is ~4, a factor approximately 1.5 larger than predictions of Dirac model. Both kinds of dielectric functions depend strongly on q, in contrast with the Dirac model. The QSGW approximation is shown to describe QP levels very well, with small systematic errors analogous to bulk sp semiconductors. Local-field effects are rather more important in graphene than in bulk semiconductors.

9 pages, 2 figures

References in corpus (18)

• The electronic properties of graphene
• Graphene: Status and Prospects
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• Excitonic Effects on the Optical Response of Graphene and Bilayer Graphene
• Quasiparticle self-consistent $GW$ method; a basis for the independent-particle approximation
• The Coulomb impurity problem in graphene
• Ab initio GW many-body effects in graphene
• Vacuum Polarization and Screening of Supercritical Impurities in Graphene
• Atomic Collapse and Quasi-Rydberg States in Graphene
• Velocity Renormalization and Carrier Lifetime in Graphene from Electron-Phonon Interaction
• Nonlinear screening of charge impurities in graphene
• Ground-state of graphene in the presence of random charged impurities
• Screening of a hypercritical charge in graphene
• Density-Functional Theory of Graphene Sheets
• Two-body problem in graphene
• Variational approach to the excitonic phase transition in graphene
• Linear Response and the Thomas-Fermi Approximation in Undoped Graphene

Cited by in corpus (22)

• Theory of Neutral and Charged Excitons in Monolayer Transition Metal Dichalcogenides
• Strength of effective Coulomb interactions in graphene and graphite
• Observing Atomic Collapse Resonances in Artificial Nuclei on Graphene
• Questaal: a package of electronic structure methods based on the linear muffin-tin orbital technique
• Excitation spectrum and high energy plasmons in single- and multi-layer graphene
• Monte-Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
• Strain effects on the spin-orbit induced band structure splittings in monolayer MoS2 and graphene
• Electron correlation effects on exchange interactions and spin excitations in 2D van der Waals materials
• Geometrical and topological aspects of graphene and related materials
• Density-functional calculation of static screening in 2D materials: the long-wavelength dielectric function of graphene
• Classical to quantum crossover of the cyclotron resonance in graphene: A study of the strength of intraband absorption
• Semimetal-antiferromagnetic insulator transition in graphene induced by biaxial strain
• Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
• Direct link between disorder, mobility and magnetoresistance in topological semimetals
• Quantum capacitance and Landau parameters of massless Dirac fermions in graphene
• Electromigration of bivalent functional groups on graphene
• Valley relaxation in graphene due to charged impurities
• Thermal smearing of the magneto-Kohn anomaly for Dirac materials and comparison with the two-dimensional electron liquid
• Interaction of static charges in graphene within Monte-Carlo simulation
• Plasmonic Waveguides from Coulomb-Engineered Two-Dimensional Metals
• Doping Topological Dirac Semimetal with magnetic impurities: electronic structure of Mn-doped Cd${}_3$As${}_2$
• Semiclassical theory for plasmons in two-dimensional inhomogeneous media