Dynamical polarization, screening, and plasmons in gapped graphene

Abstract

The one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to find the dispersion of the plasmon mode and the static screening within the random phase approximation. At long wavelengths the usual square root behaviour of plasmon spectra for two-dimensional (2D) systems is obtained. The presence of a small (compared to a chemical potential) gap leads to the appearance of a new undamped plasmon mode. At greater values of the gap this mode merges with the long-wavelength one, and vanishes when the Fermi level enters the gap. The screening of charged impurities at large distances differs from that in gapless graphene by slower decay of Friedel oscillations ($1/r^2$ instead of $1/r^3$), similarly to conventional 2D systems.

8 pages, 8 figures, v2: to match published version

References in corpus (18)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Quantum Spin Hall Effect in Graphene
• Substrate-induced band gap opening in epitaxial graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Dynamical polarization of graphene at finite doping
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Spin-orbit gap of graphene: First-principles calculations
• Magnetic field driven metal-insulator phase transition in planar systems
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• Magnetic field-induced insulating behavior in highly oriented pyrolitic graphite
• Chirality and Correlations in Graphene
• Charge response function and a novel plasmon mode in graphene
• Collective excitations of Dirac electrons in a graphene layer with spin-orbit interaction
• Polarization Charge Distribution in Gapped Graphene
• Dynamics in the quantum Hall effect and the phase diagram of graphene

Cited by in corpus (129)

• Properties of Graphene: A Theoretical Perspective
• Plasmonics in Dirac systems: from graphene to topological insulators
• Finite temperature Casimir effect for graphene
• Casimir interaction between a perfect conductor and graphene described by the Dirac model
• Plasmons and screening in a monolayer of MoS${}_2$
• Excitation spectrum and high energy plasmons in single- and multi-layer graphene
• Dynamical Polarization Function, Plasmons and Screening in Silicene and Other Buckled Honeycomb Lattices
• Dynamical polarizability of graphene beyond the Dirac cone approximation
• Frequency-dependent polarizability, plasmons, and screening in the 2D pseudospin-1 dice lattice
• Thermal Casimir effect in the interaction of graphene with dielectrics and metals
• Van der Waals and Casimir interactions between two graphene sheets
• Theory of the Casimir interaction for graphene-coated substrates using the polarization tensor and comparison with experiment
• Dynamical polarizability of graphene irradiated by circularly polarized ac electric fields
• Anisotropic plasmons, Friedel oscillations and dynamical screening in $8-Pmmn$ borophene
• Parity-odd effects and polarization rotation in graphene
• Enhanced Casimir effect for doped graphene
• Spin and valley polarization of plasmons in silicene due to external fields
• Graphene-based polaritonic crystal
• Probing the Topological Phase Transition via Density Oscillations in Silicene and Germanene
• Dynamical polarization of monolayer graphene in a magnetic field
• Dynamical screening in bilayer graphene
• Quantum-statistical theory for laser-tuned transport and optical conductivities of dressed electrons in $α-\mc{T}_3$ materials
• Dielectric function, screening, and plasmons of graphene in the presence of spin-orbit interactions
• High-order harmonic generation from gapped graphene: perturbative response and transition to non-perturbative regime
• Faraday rotation in graphene
• Quantum Field Theory in Graphene
• Coulomb screening and collective excitations in biased bilayer graphene
• Dielectric screening and plasmons in AA-stacked bilayer graphene
• Nonequilibrium plasmons with gain in graphene
• Roadmap on Nonlocality in Photonic Materials and Metamaterials
• Tailoring the thermal Casimir force with graphene
• Experimental and theoretical investigation of the thermal effect in the Casimir interaction from graphene
• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
• Drift-induced modifications to the dynamical polarization of graphene
• Plasmon modes of a massive Dirac plasma, and their superlattices
• Dynamical current-current correlation of the hexagonal lattice and graphene
• Dynamical current-current susceptibility of gapped graphene
• Dynamical polarizability, screening, and plasmons in one, two, and three dimensional massive Dirac systems
• Phonon helicity induced by electronic Berry curvature in Dirac materials
• Dynamical polarization and plasmons in a two-dimensional system with merging Dirac points
• Intrinsic first and higher-order topological superconductivity in a doped topological insulator
• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• Nonlocal Optical Response in Topological Phase Transitions in the Graphene Family
• The effect of sublattice symmetry breaking on the electronic properties of a doped graphene
• Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model
• Tunable Intrinsic Plasmons due to Band Inversion in Topological Materials
• Thermal effect in the Casimir force for graphene and graphene-coated substrates: Impact of nonzero mass gap and chemical potential
• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• Plasmons in spin polarized graphene: a new way to measure spin polarization
• Quasiparticle band-gap renormalization in doped monolayer MoS${}_2$
• Plasmon dissipation in gapped-graphene open systems at finite temperature
• Spin susceptibility of two-dimensional transition metal dichalcogenides
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Kramers-Kronig relations and causality conditions for graphene in the framework of the Dirac model
• Constrained Random Phase Approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene
• Reflectivity properties of graphene with nonzero mass-gap parameter
• Effect of electron-phonon coupling on energy and density of states renormalizations of dynamically screened graphene
• Nonlinear transport of ballistic Dirac electrons tunneling through a tunable potential barrier in graphene
• Controlling plasmon modes and damping in buckled two-dimensional material open systems
• Temperature dependent screened electronic transport in gapped graphene
• Surface Plasmon Instability Leading to Emission of Radiation
• Gap-modulated doping effects on indirect exchange interaction between magnetic impurities in graphene
• Surface plasmons for doped graphene
• Impact of chemical potential on the reflectance of graphene in the infrared and microwave domains
• Plasmon-phonon coupling in a valley-spin-polarized two-dimensional electron system: a theoretical study on monolayer silicene
• Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
• Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
• Electric conductivity in graphene: Kubo model versus a nonlocal quantum field theory model
• Quantum-Electron Back Action on Hybridization of Radiative and Evanescent Field Modes
• Plasma excitations of dressed Dirac electrons in graphene layers
• Short range Coulomb correlations render massive Dirac fermions massless
• Graphene through the looking glass of QFT
• Collective plasmonic excitations in double-layer silicene at finite temperature
• The Nernst heat theorem for an atom interacting with graphene: Dirac model with nonzero energy gap and chemical potential
• Optical properties of dielectric plates coated with gapped graphene
• Quantum Spin Hall Effect in Graphene Nanoribbons: Effect of Edge Geometry
• Optoelectronic Fingerprints of Interference between Different Charge Carriers in Graphene Superlattices and Analogies to Twisted Graphene Bilayers
• Charge density and conductivity of disordered Berry-Mondragon graphene nanoribbons
• Quantum field theoretical framework for the electromagnetic response of graphene and dispersion relations with implications to the Casimir effect
• Dielectric function of the semiconductor hole liquid: Full frequency and wave vector dependence
• Screening in graphene antidot lattices
• Impurity assisted nanoscale localization of plasmonic excitations in graphene
• Screening properties and plasmons of Hg(Cd)Te quantum wells
• Anisotropic Friedel oscillations in graphene-like materials: The Dirac point approximation in wave-number dependent quantities revisited
• Relaxation times and charge conductivity of silicene
• Dynamical polarization, optical conductivity and plasmon mode of a linear triple component fermionic system
• Quantum capacitance of double-layer graphene
• Plasmons in topological insulator cylindrical nanowires
• Plasmons in spin-orbit coupled two-dimensional hole gas systems
• Surface plasmon on graphene at finite $T$
• Plasmon modes in monolayer and double-layer black phosphorus under applied uniaxial strain
• Polarization and plasmons in hot photoexcited graphene
• Non-local quantum gain facilitates loss compensation and plasmon amplification in graphene hyperbolic metamaterials
• Plasmons in dimensionally mismatched Coulomb coupled graphene systems
• Polarizability, plasmons, and screening in 1T${}^{\prime }$-MoS${}_2$ with tilted Dirac bands
• Plasmon Excitations for Encapsulated Graphene
• Many-body exchange-correlation effects in MoS${}_2$ monolayer: The key role of nonlocal dielectric screening
• Interband and intraband transition, dynamical polarization and screening of the monolayer and bilayer silicene in low-energy tight-binding model
• Low-temperature linear transport of two-dimensional massive Dirac fermions in silicene: residual conductivity and spin/valley Hall effects
• Graphene may help to solve the Casimir conundrum in indium tin oxide systems
• Multi-component plasmons in monolayer MoS${}_2$ with circularly polarized optical pumping
• On the convergence of the polarization tensor in space-time of three dimensions
• Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium
• Collective modes in a Dirac insulator with short range interactions
• Coulomb Screening of 2D Massive Dirac Fermions
• Tunable plasmon modes in doped AA-stacked bilayer graphene
• Dynamical spin-spin susceptibility of Silicene
• Plasmon modes in double-layer biased bilayer graphene
• Nonequilibrium Casimir-Polder Force between Nanoparticles and Graphene-Coated Silica Plate: Combined Effect of the Chemical Potential and Mass Gap
• Collective excitations and the nature of Mott transition in undoped gapped graphene
• Maximum reflectance and transmittance of films coated with gapped graphene in the context of Dirac model
• Effects of electron-impurity scattering on density of states in silicene: impurity bands and band-gap narrowing
• Influence of Dynamical Floquet Spectrum on the Plasmon Excitations and Exchange Energy of tilted monolayer 1T${}^{\prime }$MoS${}_2$
• Ultrafast strong-field absorption in gapped graphene
• Polarization Charge around Impurities in Two-Dimensional Anisotropic Dirac Systems
• Casimir-Polder Force on Atoms or Nanoparticles from the Gapped and Doped Graphene: Asymptotic Behavior at Large Separations
• Theory for entanglement of electrons dressed with circularly polarized light in Graphene and three-dimensional topological insulators
• Dielectric properties of graphene on transition metal dichalcogenide substrate
• Composite polaron formed on surface of two-dimensional lattice system in weak coupling regime
• Dispersion Forces Between Fields Confined to Half Spaces
• Spectroscopic Characterization of Gapped Graphene in the Presence of Circularly Polarized Light
• Dynamical density response and collective modes of topological insulator ultra-thin films
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Dynamical polarization and the optical response of silicene and related materials
• Unconventional superconductivity from electronic dipole fluctuations
• Coherent-scatterer enhancement and Klein-tunneling suppression by potential barriers in gapped graphene with chirality-time-reversal symmetry
• Anisotropic Friedel oscillations inside the domain wall
• Comment on "Electric conductivity of graphene: Kubo model versus a nonlocal quantum field theory model (arXiv:2403.02279v3)"
• Plasmon damping rates in Coulomb-coupled two-dimensional layers in a heterostructure