Recently, plasmons in graphene have been observed experimentally using scattering scanning near-field optical microscopy. In this paper, we develop a simplified analytical approach to describe the behavior in triangular samples. Replacing Coulomb interaction by a short-range one reduces the problem to a Helmholtz equation, amenable to analytical treatment. We demonstrate that even with our simplifications, the system still exhibits the key features seen in the experiment.
@article{arxiv.1309.1909,
title = {Plasmonic Hot Spots in Triangular Tapered Graphene Microcrystals},
author = {A. S. Rodin and Z. Fei and A. S. McLeod and M. Wagner and A. H. Castro Neto and M. M. Fogler and D. N. Basov},
journal= {arXiv preprint arXiv:1309.1909},
year = {2013}
}