Collisionless Hydrodynamics of Doped Graphene in a Magnetic Field
Mesoscale and Nanoscale Physics
2013-12-10 v1
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.
Cite
@article{arxiv.1305.1448,
title = {Collisionless Hydrodynamics of Doped Graphene in a Magnetic Field},
author = {R. Roldán and J. -N. Fuchs and M. O. Goerbig},
journal= {arXiv preprint arXiv:1305.1448},
year = {2013}
}
Comments
7 pages, 1 figure