{ "id": "1305.1448", "version": "v1", "published": "2013-05-07T09:44:13.000Z", "updated": "2013-05-07T09:44:13.000Z", "title": "Collisionless Hydrodynamics of Doped Graphene in a Magnetic Field", "authors": [ "R. Roldán", "J. -N. Fuchs", "M. O. Goerbig" ], "comment": "7 pages, 1 figure", "journal": "Solid State Commun 175-176, 114 (2013)", "doi": "10.1016/j.ssc.2013.04.011", "categories": [ "cond-mat.mes-hall" ], "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.", "revisions": [ { "version": "v1", "updated": "2013-05-07T09:44:13.000Z" } ], "analyses": { "keywords": [ "doped graphene", "low-energy dispersion relation", "small wave vectors", "random phase approximation", "perpendicular magnetic field" ], "tags": [ "journal article" ], "publication": { "journal": "Solid State Communications", "year": 2013, "month": "Dec", "volume": 175, "pages": 114 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013SSCom.175..114R" } } }