Dynamical polarization of graphene at finite doping

Abstract

The polarization of graphene is calculated exactly within the random phase approximation for arbitrary frequency, wave vector, and doping. At finite doping, the static susceptibility saturates to a constant value for low momenta. At $q=2k_F$ it has a discontinuity only in the second derivative. In the presence of a charged impurity this results in Friedel oscillations which decay with the same power law as the Thomas Fermi contribution, the latter being always dominant. The spin density oscillations in the presence of a magnetic impurity are also calculated. The dynamical polarization for low $q$ and arbitrary $\omega$ is employed to calculate the dispersion relation and the decay rate of plasmons and acoustic phonons as a function of doping. The low screening of graphene, combined with the absence of a gap, leads to a significant stiffening of the longitudinal acoustic lattice vibrations.

17 pages, 6 figures, 1 table

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• Quantum Hall Ferromagnetism in Graphene
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• Keldysh functional renormalization group for electronic properties of graphene
• Edge-dependent reflection and inherited fine structure of higher-order plasmons in graphene nanoribbons
• Negative static permittivity and violation of Kramers-Kronig relations in quasi-two-dimensional crystals
• Efficient n-type Doping in Epitaxial Graphene through Strong Lateral Orbital Hybridization of Ti Adsorbate
• Dielectric screening of surface states in a topological insulator
• Electrostatic responses of anisotropic dielectric films
• Superfluidity of dipolar excitons in a double layer of $\alpha -T_3$ with a mass term
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• Anomalous thermodiffusion of electrons in graphene
• Determining graphene's induced band gap with magnetic and electric emitters
• Collective modes in a Dirac insulator with short range interactions
• Potential fluctuations in graphene due to correlated charged impurities in substrate
• Faraday rotation effect in periodic graphene structure
• Coulomb Screening of 2D Massive Dirac Fermions
• Magnetoplasmons in magic-angle twisted bilayer graphene
• Dielectric response functions of multi-component hot carrier plasmas
• Casimir effects in graphene systems: unexpected power laws
• Tunable plasmon modes in doped AA-stacked bilayer graphene
• Combined effect of doping and temperature on the anisotropy of low-energy plasmons in monolayer graphene
• Electron-phonon vertex and its influence on the superconductivity of two-dimensional metals on a piezoelectric substrate
• Quantum Internal Structure of Plasmons
• Photoexcitation Cascade and Quantum-Relativistic Jets in Graphene
• Friedel oscillation near a van Hove singularity in two-dimensional Dirac materials
• Impurity Screening and Friedel Oscillations in Floquet-driven Two-dimensional Metals
• Electromagnetic response of composite Dirac fermions in the half-filled Landau level
• Thermal radiation as a probe of one-dimensional electron liquids
• Topological Signatures in Nodal Semimetals through Neutron Scattering
• Edge modes and Fabry-Perot Plasmonic Resonances in anomalous-Hall Thin Films
• Distinguishing Coulomb and electron-phonon interactions for massless Dirac fermions
• Tunable THz Surface Plasmon Polariton based on Topological Insulator-Layered Superconductor Hybrid Structure
• Effects of nonlocal plasmons in gapped graphene micro-ribbon array and 2DEG on near-field electromagnetic response in the deep-subwavelength regime
• Tracking Quasiparticle Energies in Graphene with Near Field Optics
• Drude weight, plasmon dispersion, and pseudospin response in doped graphene sheets
• Many-body effects in doped graphene on a piezoelectric substrate
• The shear viscosity of interacting graphene
• Collective magnetic excitations in AA- and AB-stacked graphene bilayers
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Graphene nano-ribbon waveguides
• Electronic response of graphene to linelike charge perturbations
• Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation
• Geometric effect on near-field heat transfer analysis using efficient graphene and nanotube models
• Manipulating single photon emitter radiative lifetime in transition-metal dichalcogenides through Forster resonance energy transfer to graphene
• Gauge-invariant cutoff for Dirac electron systems with a vector potential
• Spin waves in doped graphene: a time-dependent spin-density-functional approach to collective excitations in paramagnetic two-dimensional Dirac fermion gases
• Dynamic dielectric function and phonon self-energy from electrons strongly correlated with acoustic phonons in 2D Dirac crystals
• Polarization Charge around Impurities in Two-Dimensional Anisotropic Dirac Systems
• Irreducible momentum-space spin structure of Weyl semimetals and its signatures in Friedel oscillations
• Influence of Dynamical Floquet Spectrum on the Plasmon Excitations and Exchange Energy of tilted monolayer 1T${}^{\prime }$MoS${}_2$
• Engineering plasmon modes and their loss in armchair graphene nanoribbons by selected edge-extended defects
• Near-field radiative heat transfer and van der Waals friction between closely spaced graphene and amorphous SiO${}_2$
• Superconductivity induced by flexural modes in non ${\sigma }_{\mathrm{h}}$-symmetric Dirac-like two-dimensional materials: A theoretical study for silicene and germanene
• Large quantum nonreciprocity in plasmons dragged by drifting electrons
• Spectroscopic Characterization of Gapped Graphene in the Presence of Circularly Polarized Light
• Interaction-mitigated Landau damping
• Theory for entanglement of electrons dressed with circularly polarized light in Graphene and three-dimensional topological insulators
• Multivalued dispersion equation for plasmon-surface optical phonon coupling in graphene/polar substrate system
• Thermoelectric detection of propagating plasmons in graphene
• Acoustic plasmons in graphene sandwiched between two metallic slabs
• Plasmonic Transverse Dipole Moment in Chiral Fermion Nanowires
• Broadband Focusing of Acoustic Plasmons in Graphene with an Applied Current
• Role of electron back action on photons in hybridizing double-layer graphene plasmons with localized photons
• Nonequilibrium effective vector potential due to pseudospin exchange in graphene
• Ultrafast electronic heat dissipation through surface-to-bulk Coulomb coupling in quantum materials
• Scaling and interaction-assisted transport in graphene with one-dimensional defects
• Plasmon-plasmon interaction and the role of buffer in epitaxial graphene micro-flakes
• Soft pair excitations and double-log divergences due to carrier interactions in graphene
• Coupling of plasmons to the two-magnon continuum in antiferromagnets
• Dynamical density response and collective modes of topological insulator ultra-thin films
• Current-induced nonreciprocity and refraction-free propagation in a one-dimensional graphene-based photonic crystal
• Dynamical polarization and the optical response of silicene and related materials
• Energy shift of collective modes in spin-imbalanced graphene on SiO${}_2$ from spin-sensitive linear response theory
• Intertwined geometries in collective modes of two dimensional Dirac fermions
• Device Chemistry of Graphene Transistors
• Graphene as a Tunable Nonradiative Bath for Moiré Excitons
• Anisotropic Friedel oscillations inside the domain wall
• Polariton Waveguide Modes in Two-Dimensional Van der Waals Crystals: An Analytical Model and Correlative Scanning Near-Field Optical Microscopy Studies
• Plasmons in semiconductor and topological insulator wires with large dielectric constant
• Electromagnetic response of the surface states of a topological insulator nanowire embedded within a resonator
• Ultrafast Momentum-Resolved Probing of Plasmon Thermal Dynamics with Free Electrons
• Plasmonic Cooper pairing in single layer graphene
• Dielectric response of electron-hole systems. Nondegenerate case and quantum corrections
• Plasmon damping rates in Coulomb-coupled two-dimensional layers in a heterostructure
• Casimir energy for $N$ constant conductivity $\delta$-plates with a neural network perception