Inter-band magnetoplasmons in mono- and bilayer graphene

Collective excitation spectra of Dirac electrons in mono- and bilayer graphene in the presence of a uniform magnetic field are investigated. Analytical results for inter-Landau-band plasmon spectra within the self-consistent-field approach are obtained. Shubnikov-de Haas (SdH) type oscillations that are a monotonic function of the magnetic field are observed in the plasmon spectrum of both mono- and bilayer graphene systems. The results presented are also compared with those obtained in a conventional two-dimensional electron gas (2DEG). The chiral nature of the quasiparticles in mono- and bilayer graphene systems results in the observation of pi and 2 pi Berry's phase in the SdH-type oscillations in the plasmon spectrum.