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.

14 pages, 5 figures

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Cited by in corpus (17)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Faraday rotation in graphene
• Magnetic field driven instability of charged center in graphene
• Dynamical current-current susceptibility of gapped graphene
• Finite-temperature plasmons, damping and collective behavior for $\alpha -{\mathcal{T}}_3$ model
• Temperature dependent screened electronic transport in gapped graphene
• Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
• Graphene transparency in weak magnetic fields
• Many-body effects of Coulomb interaction on Landau levels in graphene
• Coulomb center instability in bilayer graphene
• Magnetic field driven instability in planar NJL model in real-time formalism
• 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
• 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
• 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