Collective Excitations of Dirac Electrons in Graphene

Details Collective Excitations of Dirac Electrons in Graphene Collective Excitations of Dirac Electrons in Graphene

2006-11-17

arxiv.org/abs/cond-mat/0611465v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

To be published as Proceedings of the Wuerzburg Conference, 2006

Scientific paper

10.1142/S0217979207042604

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence of an external magnetic field. Unlike in the conventional two-dimensional electron system, the $\nu=\frac1m$ fractional quantum Hall state in graphene was found to be most stable in the $n=1$ Landau level. In the zero field case, but in the presence of the spin-orbit interaction, an undamped plasmon mode was found to exist in the gap of the single-particle continuum.

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