Abstract
Surface plasmons can be used for generation of radiation by \( \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\text{C}} \)erenkov mechanism in carbon nanotubes. However, slowing down of the plasmon phase speed is not enough for the synchronization with a nonrelativistic electron beam. Using the density-matrix formalism and the tight-binding approximation, we developed the method of obtaining the dispersion equation for plasmons in n-layer graphene systems. It was found that a graphene single layer can reduce the surface plasmon phase speed by 3–6 times. Reduction up to the Fermi velocity of p-electrons is achieved in spatially separated graphene bilayer. Thus, graphene bilayer seems to be suitable material for realization of the \( \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\text{C}} \)erenkov-type emitters in nanoscale.
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Batrakov, K., Saroka, V. (2013). Surface Plasmon Retardation in Graphene Bilayer. In: Fesenko, O., Yatsenko, L., Brodin, M. (eds) Nanomaterials Imaging Techniques, Surface Studies, and Applications. Springer Proceedings in Physics, vol 146. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7675-7_9
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DOI: https://doi.org/10.1007/978-1-4614-7675-7_9
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