Dynamical polarization of monolayer graphene in a magnetic field

Abstract

The one-loop dynamical polarization function of graphene in an external magnetic field is calculated as a function of wavevector and frequency at finite chemical potential, temperature, band gap, and width of Landau levels. The exact analytic result is given in terms of digamma functions and generalized Laguerre polynomials, and has the form of double sum over Landau levels. Various limits (static, clean, etc) are discussed. The Thomas-Fermi inverse length $q_F$ of screening of the Coulomb potential is found to be an oscillating function of a magnetic field and a chemical potential. At zero temperature and scattering rate, it vanishes when the Fermi level lies between the Landau levels.

arXiv comment14 pages, 5 figures

References in corpus (43)

• 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
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Substrate-induced band gap opening in epitaxial graphene
• Measurement of the Optical Conductivity of Graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Substrate-induced bandgap in graphene on hexagonal boron nitride
• Electronic Properties of Disordered Two-Dimensional Carbon
• Unconventional Integer Quantum Hall effect in graphene
• Dynamical polarization of graphene at finite doping
• Magneto-optical conductivity in Graphene
• Space-time dispersion of graphene conductivity
• Giant Faraday rotation in single- and multilayer graphene
• Landau level spectroscopy of ultrathin graphite layers
• Infrared spectroscopy of Landau levels in graphene
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
• Magnetic field driven metal-insulator phase transition in planar systems
• Is graphene in vacuum an insulator?
• Magnetic field-induced insulating behavior in highly oriented pyrolitic graphite
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations
• Dynamical polarization, screening, and plasmons in gapped graphene
• Anomalous Absorption Line in the Magneto-Optical Response of Graphene
• Excitonic gap, phase transition, and quantum Hall effect in graphene
• Dirac electronic states in graphene systems: Optical spectroscopy studies
• Gap generation and semimetal-insulator phase transition in graphene
• Divergent resistance at the Dirac point in graphene: Evidence for a transition in a high magnetic field
• Excitations from Filled Landau Levels in Graphene
• Supercritical Coulomb center and excitonic instability in graphene
• Collective modes of doped graphene and a standard 2DEG in a strong magnetic field: linear magneto-plasmons versus magneto-excitons
• Monte Carlo Simulation of the Semimetal-Insulator Phase Transition in Monolayer Graphene
• Critical exponents of the semimetal-insulator transition in graphene: A Monte Carlo study
• Magnetoplasmons in layered graphene structures
• Two-body problem in graphene
• The magnetic field particle-hole excitation spectrum in doped graphene and in a standard two-dimensional electron gas
• Electromagnetic response and effective gauge theory of graphene in a magnetic field
• Critical Behavior in Graphene with Coulomb Interactions
• Ground-state properties of gapped graphene using the random phase approximation
• Variational approach to the excitonic phase transition in graphene
• Spin-flip excitations, spin waves, and magneto-excitons in graphene Landau levels at integer filling factors
• Inter-band magnetoplasmons in mono- and bi-layer graphene

Cited by in corpus (43)

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• Phase diagram for the $\nu =0$ quantum Hall state in monolayer graphene
• Carrier scattering from dynamical magneto-conductivity in quasi-neutral epitaxial graphene
• Magneto-optical conductivity of graphene on polar substrates
• Dynamical screening in bilayer graphene
• Faraday rotation in graphene
• Graphene in periodic deformation fields: dielectric screening and plasmons
• Magnetic field driven instability of charged center in graphene
• Dynamical current-current susceptibility of gapped graphene
• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model
• Influence of Landau level mixing on the properties of elementary excitations in graphene in strong magnetic field
• Temperature dependent screened electronic transport in gapped graphene
• Screening of a charged impurity in graphene in a magnetic field
• Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
• Electron states in the field of charged impurities in two-dimensional Dirac systems
• Integer quantum Hall conductivity and longitudinal conductivity in silicene under the electric field and magnetic field
• Chiral phase transition in a planar four-Fermi model in a tilted magnetic field
• Graphene transparency in weak magnetic fields
• Nonlinear magnetotransport in a dc-current-biased graphene
• Many-body effects of Coulomb interaction on Landau levels in graphene
• Nonlinear magneto-optic effects in doped graphene and gapped graphene: a perturbative treatment
• Statistical repulsion/attraction of electrons in graphene in a magnetic field
• Thermal smearing of the magneto-Kohn anomaly for Dirac materials and comparison with the two-dimensional electron liquid
• Theory of Friedel oscillations in monolayer graphene and group-VI dichalcogenides in a magnetic field
• Abelian Chern-Simons Theory for the Fractional Quantum Hall Effect in Graphene
• Polarization of graphene in a strong magnetic field beyond the Dirac cone approximation
• Radiative dynamical mass of planar charged fermion in a constant homogeneous magnetic field
• Interband and intraband transition, dynamical polarization and screening of the monolayer and bilayer silicene in low-energy tight-binding model
• Coulomb center instability in bilayer graphene
• Magnetic field driven instability in planar NJL model in real-time formalism
• Many-body filling-factor dependent renormalization of Fermi velocity in graphene in strong magnetic field
• Generalized Landau level representation: Effect of static screening in the quantum Hall effect in graphene
• Bound states of charges on top of graphene in magnetic field
• Magneto-Coulomb Drag and Hall Drag in Double-Layer Dirac Systems
• Electrically tunable magnetoplasmons in a monolayer of silicene or germanene
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Many-body renormalization of Landau levels in graphene due to screened Coulomb interaction
• Spin waves in doped graphene: a time-dependent spin-density-functional approach to collective excitations in paramagnetic two-dimensional Dirac fermion gases
• Photon polarization tensor at finite temperature and density in a magnetic field
• Dielectric properties of graphene on transition metal dichalcogenide substrate
• Dynamical polarization in ABC-stacked multilayer graphene in a magnetic field
• Coherent-scatterer enhancement and Klein-tunneling suppression by potential barriers in gapped graphene with chirality-time-reversal symmetry