Dynamical screening in bilayer graphene

Abstract

We calculate 1-loop polarization in bilayer graphene in the 4-band approximation for arbitrary values of frequency, momentum and doping. At low and high energy our result reduces to the polarization functions calculated in the 2-band approximation and in the case of single-layer graphehe, respectively.The special cases of static screening and plasmon modes are analyzed.

10 pages, 4 figures; references added; typos corrected; high-energy plasmon consideration added

References in corpus (14)

• Electric Field Effect in Atomically Thin Carbon Films
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Dynamical polarization, screening, and plasmons in gapped graphene
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Dynamic Screening and Low Energy Collective Modes in Bilayer Graphene
• Collective modes of doped graphene and a standard 2DEG in a strong magnetic field: linear magneto-plasmons versus magneto-excitons
• Fermi Velocity Enhancement in Monolayer and Bilayer Graphene
• Electromagnetic response and effective gauge theory of graphene in a magnetic field
• Dynamical polarization of monolayer graphene in a magnetic field
• Dynamics and phase diagram of the $\nu =0$ quantum Hall state in bilayer graphene
• Ground-state properties of gapped graphene using the random phase approximation
• Electron-electron interactions in graphene bilayers

Cited by in corpus (41)

• The electronic properties of bilayer graphene
• Electronic properties of graphene-based bilayer systems
• Plasmonics in Dirac systems: from graphene to topological insulators
• Plasmons and near-field amplification in double-layer graphene
• Dynamical Polarization Function, Plasmons and Screening in Silicene and Other Buckled Honeycomb Lattices
• Intrinsic plasmons in 2D Dirac materials
• Mechanism for puddle formation in graphene
• Novel mid-infrared plasmonic properties of bilayer graphene
• Dielectric function, screening, and plasmons of graphene in the presence of spin-orbit interactions
• Screening and plasmons in pure and disordered single- and bilayer black phosphorus
• Ultrahigh refractive index sensitivity of TE-polarized electromagnetic waves in graphene at the interface between two dielectric media
• Dielectric screening and plasmons in AA-stacked bilayer graphene
• Ferromagnetism in ABC-trilayer graphene
• Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model
• Superluminal plasmons with resonant gain in population inverted bilayer graphene
• Odd momentum pairing and superconductivity in vertical graphene heterostructures
• Screening and collective modes in gapped bilayer graphene
• Multicomponent screening and superfluidity in gapped electron-hole double bilayer graphene with realistic bands
• Polarizability and Screening in Chiral Multilayer Graphene
• Temperature dependent screened electronic transport in gapped graphene
• Effects of doping and bias voltage on the screening in AAA-stacked trilayer graphene
• Dielectric and electronic properties of three-dimensional Luttinger semimetals with a quadratic band touching
• Electron spin relaxation in bilayer graphene
• Screening in multilayer graphene
• Triplet superconductivity and spin density wave in biased AB bilayer graphene
• Inelastic carrier lifetime in a coupled graphene electron-phonon system: Role of plasmon-phonon coupling
• Screening and gap generation in bilayer graphene
• Dynamic screening and plasmon spectrum in bilayer graphene
• Gate-tunable infrared plasmons in electron-doped single-layer antimony
• Umklapp electron-electron scattering in bilayer graphene moiré superlattice
• Interband and intraband transition, dynamical polarization and screening of the monolayer and bilayer silicene in low-energy tight-binding model
• One-dimensional plasmons confined in bilayer graphene p-n junctions
• Tunable plasmon modes in doped AA-stacked bilayer graphene
• Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: II. RPA response functions and collective modes
• Electronic transport and dynamical polarization in bilayer silicene-like system
• Electron-electron interactions in non-equilibrium bilayer graphene
• Electron binding energy of a donor in bilayer graphene with gate-tunable gap
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Dielectric properties of graphene on transition metal dichalcogenide substrate
• Dynamical density response and collective modes of topological insulator ultra-thin films
• Plasmons in N-layer systems