Collisionless Hydrodynamics of Doped Graphene in a Magnetic Field

Abstract

The electrodynamics of a two-dimensional gas of massless fermions in graphene is studied by a collisionless hydrodynamic approach. A low-energy dispersion relation for the collective modes (plasmons) is derived both in the absence and in the presence of a perpendicular magnetic field. The results for graphene are compared to those for a standard two-dimensional gas of massive electrons. We further compare the results within the classical hydrodynamic approach to the full quantum mechanical calculation in the random phase approximation. The low-energy dispersion relation is shown to be a good approximation at small wave vectors. The limitations of this approach at higher order is also discussed.

7 pages, 1 figure

References in corpus (10)

• Graphene plasmonics
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• Excitations from Filled Landau Levels in Graphene
• Collective cyclotron motion of the relativistic plasma in graphene
• Collective modes of doped graphene and a standard 2DEG in a strong magnetic field: linear magneto-plasmons versus magneto-excitons
• Linear response of doped graphene sheets to vector potentials
• Magnetoplasmons excitations in graphene for filling factors $\nu \le 6$
• Electromagnetic response and effective gauge theory of graphene in a magnetic field
• Spin-flip excitations, spin waves, and magneto-excitons in graphene Landau levels at integer filling factors

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• Determining graphene's induced band gap with magnetic and electric emitters