We present a theoretical description of Bernstein modes that arise as a result of the coupling between plasmon-like collective excitations (upper-hybrid mode) and inter-Landau-level excitations, in graphene in a perpendicular magnetic field. These modes, which are apparent as avoided level crossings in the spectral function obtained in the random-phase approximation, are described to great accuracy in a phenomenological model. Bernstein modes, which may be measured in inelastic light-scattering experiments or in photo-conductivity spectroscopy, are a manifestation of the Coulomb interaction between the electrons and may be used for a high-precision measurement of the upper-hybrid mode at small non-zero wave vectors.
@article{arxiv.1012.0779,
title = {Theory of Bernstein Modes in Graphene},
author = {R. Roldan and M. O. Goerbig and J. -N. Fuchs},
journal= {arXiv preprint arXiv:1012.0779},
year = {2011}
}
Comments
5 pages. 2 figures; slightly extended version, title changed; accepted for publication in Phys. Rev. B