2013/04/17 by Rafael Roldán, R. Roldán, Jean-Noël Fuchs +2
Computer Science · Materials Science · Physics and Astronomy · #Condensed matter physics #Dispersion (optics) #Dispersion relation #Dust and Plasma Wave Phenomena #Electron #Fermi gas #Fermion #Graphene #Graphene research and applications #Magnetic field #Massless particle #Physics #Plasmon #Quantum Information and Cryptography #Quantum electrodynamics #Quantum mechanics #Random phase approximation #cond-mat.mes-hall
paper · pdf · doi:10.1016/j.ssc.2013.04.011
published as Solid State Commun 175-176, 114 (2013) · 7 pages, 1 figure
openalex publication_date 2013/04/17 · arxiv created 2013/05/07 · arxiv updated 2013/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.