Nonlocal Electromagnetic Response of Graphene Nanostructures
Arya Fallahi, Tony Low, Michele Tamagnone, Julien, Perruisseau-Carrier

TL;DR
This paper investigates the nonlocal electromagnetic effects in graphene nanostructures, revealing how these effects influence plasmonic responses depending on polarization, ribbon width, doping, and wavelength.
Contribution
It provides semi-analytical solutions to nonlocal Maxwell's equations for graphene nano-ribbons, highlighting the impact of nonlocal effects on plasmonic properties.
Findings
Nonlocal effects cause broadening of the Drude peak for parallel polarization.
Nonlocal effects induce blue-shifts of plasmon peaks for perpendicular polarization.
Nonlocal corrections are more pronounced at smaller ribbon widths and specific wavelengths.
Abstract
Nonlocal electromagnetic effects of graphene arise from its naturally dispersive dielectric response. We present semi-analytical solutions of nonlocal Maxwell's equations for graphene nano-ribbons array with features around 100 nm, where we found prominent departures from its local response. Interestingly, the nonlocal corrections are stronger for light polarization parallel to the ribbons, which manifests as additional broadening of the Drude peak. For the perpendicular polarization case, nonlocal effects lead to blue-shifts of the plasmon peaks. These manifestations provide a physical measure of nonlocal effects, and we quantify their dependence on ribbon width, doping and wavelength.
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