Localized surface plasmons in a continuous and flat graphene sheet
Abstract
We derive an integral equation describing surface-plasmon polaritons in graphene deposited on a substrate with a planar surface and a dielectric protrusion in the opposite surface of the dielectric slab. We show that the problem is mathematically equivalent to the solution of a Fredholm equation, which we solve exactly. In addition, we show that the dispersion relation of the localized surface plasmons is determined by the geometric parameters of the protrusion alone. We also show that such system supports both even and odd modes. We give the electrostatic potential and the stream plot of the electrostatic field, which clearly show the localized nature of the surface plasmons in a continuous and flat graphene sheet.
Keywords
Cite
@article{arxiv.1801.03801,
title = {Localized surface plasmons in a continuous and flat graphene sheet},
author = {André J. Chaves and Diego R. Costa and Gil A. Farias and Nuno M. R. Peres},
journal= {arXiv preprint arXiv:1801.03801},
year = {2018}
}
Comments
11 pages, 9 figures, Accepted for publication in Physical Review B