The magnetic field particle-hole excitation spectrum in doped graphene and in a standard two-dimensional electron gas

Abstract

The particle-hole excitation spectrum for doped graphene is calculated from the dynamical polarizability. We study the zero and finite magnetic field cases and compare them to the standard two-dimensional electron gas. The effects of electron-electron interaction are included within the random phase approximation. From the obtained polarizability, we study the screening effects and the collective excitations (plasmon, magneto-excitons, upper-hybrid mode and linear magneto-plasmons). We stress the differences with the usual 2DEG.

Invited review article in Semicond. Sci. Technol.; accepted for publication

References in corpus (24)

• The electronic properties of graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Born-Oppenheimer Breakdown in Graphene
• Electric Field Effect Tuning of Electron-Phonon Coupling in Graphene
• Dynamical polarization of graphene at finite doping
• Landau level spectroscopy of ultrathin graphite layers
• Infrared spectroscopy of Landau levels in graphene
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
• Optical and magneto-optical far-infrared properties of bilayer graphene
• The Role of Electron-electron Interactions in Graphene ARPES Spectra
• Electron-Phonon Coupling and Raman Spectroscopy in Graphene
• Nonlinear screening of charge impurities in graphene
• Excitations from Filled Landau Levels in Graphene
• Collective modes of doped graphene and a standard 2DEG in a strong magnetic field: linear magneto-plasmons versus magneto-excitons
• Charge response function and a novel plasmon mode in graphene
• Filling-Factor-Dependent Magnetophonon Resonance in Graphene
• Tuning the electron-phonon coupling in multilayer graphene with magnetic fields
• Magnetoplasmons in layered graphene structures
• Magnetoplasmons excitations in graphene for filling factors $\nu \le 6$
• f-Sum Rule and Unconventional Spectral Weight Transfer in Graphene
• Electromagnetic response and effective gauge theory of graphene in a magnetic field
• Inter-band magnetoplasmons in mono- and bi-layer graphene
• Static structure factor for graphene in a magnetic field

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• Carrier multiplication in graphene under Landau quantization
• Dynamical polarization of monolayer graphene in a magnetic field
• Dynamical screening in bilayer graphene
• Magneto-electronic properties of multilayer black phosphorus
• Magneto-optical conductivity in graphene including electron-phonon coupling
• Spin-flip excitations, spin waves, and magneto-excitons in graphene Landau levels at integer filling factors
• Dielectric screening and plasmons in AA-stacked bilayer graphene
• Broken-symmetry $\nu =0$ quantum Hall states in bilayer graphene: Landau level mixing and dynamical screening
• Magnetoplasmons in quasi-neutral epitaxial graphene nanoribbons
• Theory of Bernstein Modes in Graphene
• Skyrmion zoo in graphene at charge neutrality in a strong magnetic field
• Influence of Landau level mixing on the properties of elementary excitations in graphene in strong magnetic field
• Collisionless Hydrodynamics of Doped Graphene in a Magnetic Field
• Effects of electron-phonon coupling on Landau levels in graphene
• Finite temperature dynamical polarization and plasmons in gapped graphene
• Understanding the Missing Fractional Quantum Hall States in ZnO
• Electron states in the field of charged impurities in two-dimensional Dirac systems
• The Pfaffian state in an electron gas with small Landau level gaps
• Zeeman coupling and screening corrections to skyrmion excitations in graphene
• Screening and Collective Modes in Disordered Graphene Antidot Lattices
• Many-body effects of Coulomb interaction on Landau levels in graphene
• Tilt-Induced Phase Transitions in Even-Denominator Fractional Quantum Hall States at the ZnO Interface
• Landau velocity for collective quantum Hall breakdown in bilayer graphene
• Polarization of graphene in a strong magnetic field beyond the Dirac cone approximation
• Graphene's non-equilibrium fermions reveal Doppler-shifted magnetophonon resonances accompanied by Mach supersonic and Landau velocity effects
• Thermal smearing of the magneto-Kohn anomaly for Dirac materials and comparison with the two-dimensional electron liquid
• Polarizability, plasmons, and screening in 1T${}^{\prime }$-MoS${}_2$ with tilted Dirac bands
• Magnetoplasmons in magic-angle twisted bilayer graphene
• Many-body filling-factor dependent renormalization of Fermi velocity in graphene in strong magnetic field
• Many-Body Quantum Geometric Dipole
• Many-body renormalization of Landau levels in graphene due to screened Coulomb interaction
• Plasmon damping rates in Coulomb-coupled two-dimensional layers in a heterostructure