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Graphene plasmonics is a rapidly growing field with multiple potentialapplications. One of the standard ways to study plasmons in graphene is byfabricating an array of graphene nanoribbons where nanoribbon edges provide theefficient photon-plasmon coupling. We systematically analyze the problem ofoptical plasmonic response in such systems and demonstrate the purely geometricnature of the size quantization condition for graphene plasmons. Accuratenumerical calculations allowed us to tabulate the universal geometricparameters of plasmon size quantization, which is expected to become useful inanalysis of experimental data on plasmonic response of graphene nanoribbons. Asimple analytical theory has also been developed which accurately reproducesall the qualitative features of optical plasmonic response of graphenenanoribbons.

Geometric universality of plasmon modes in graphene nanoribbon arrays