Plasmons in graphene: the nearest and next-nearest neighbor hopping

Details Plasmons in graphene: the nearest and next-nearest neighbor hopping Plasmons in graphene: the nearest and next-nearest neighbor hopping

2011-11-02

arxiv.org/abs/1111.0615v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX, 5 pages, 10 Figs

Scientific paper

The spectrum of plasmon excitations in graphene is studied in the framework of the tight-binding model, including nearest-neighbor and next-nearest-neighbor hopping. The dielectric function is numerically calculated as a function of wave vector and frequency, and two alternative approximations for calculating the plasmon dispersion law -- the method based on the loss function and that based on the nullification of the real part of dielectric function -- were used, compared and shown to agree with each other. It was also shown that next-nearest neighbor hoping may influence substantially the plasmon dispersion curve and/or the region of wave vectors where plasmons can be observed.

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