Graphene Plasmons in Triangular Wedges and Grooves
P. A. D. Gon\c{c}alves, E. J. C. Dias, Sanshui Xiao, M. I., Vasilevskiy, N. Asger Mortensen, N. M. R. Peres

TL;DR
This paper introduces a quasi-analytic model for graphene plasmons in wedge and groove geometries, enabling subwavelength light guiding and localization with potential applications in photonic devices.
Contribution
It provides a novel theoretical framework describing graphene plasmon eigenmodes in wedge and groove structures, including their spectrum and field distributions.
Findings
Dispersion follows the same functional form as flat graphene plasmons, scaled by a geometric factor.
The model accurately predicts eigenmodes and field distributions in wedge/groove geometries.
Results enable design of subwavelength photonic devices using 2D materials.
Abstract
The ability to effectively guide electromagnetic radiation below the diffraction limit is of the utmost importance in the prospect of all-optical plasmonic circuitry. Here, we propose an alternative solution to conventional metal-based plasmonics by exploiting the deep subwavelength confinement and tunability of graphene plasmons guided along the apex of a graphene-covered dielectric wedge or groove. In particular, we present a quasi-analytic model to describe the plasmonic eigenmodes in such a system, including the complete determination of their spectrum and corresponding induced potential and electric field distributions. We have found that the dispersion of wedge/groove graphene plasmons follows the same functional dependence as their flat-graphene plasmons counterparts, but now scaled by a (purely) geometric factor in which all the information about the system's geometry is…
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