Hybridization, degeneracy and polarization independence of modes in square array of graphene disk resonators with symmetry C4v
Abstract
We consider an infinite array of graphene disks in a square unit cell, where every disk of the quadrumer is excited in the dipole regime. Hybridization of plasmonic eigenmodes belonging to different IRREPs of the point group of symmetry C4v is discussed. It is shown that the hybridization of the pair of 1D IRREPs modes A1 and B2 as well as the pair A2 and B1 can exist in this symmetry. For the cell period p0 and the quadrumer period P, the relation P/p0 = 2 defines polarization independence of these pairs of modes. The discussed modes are dark ones and require for their excitation breaking the point symmetry of the quadrumer and, for breaking their degeneracy, i.e. separation in the two pairs, a modification of the discrete translation symmetry, i.e. change the parameter P/p0. The separated modes can be excited by normally incident plane wave with orthogonal polarizations.
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BibTeX
@misc{dmitriev2026hybridization,
title = {{Hybridization, degeneracy and polarization independence of modes in square array of graphene disk resonators with symmetry C4v}},
author = {Victor Dmitriev and Amanda Evangelista da Silva},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36255},
eprint = {2609.36255},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36255},
}
RIS
TY - UNPB
TI - Hybridization, degeneracy and polarization independence of modes in square array of graphene disk resonators with symmetry C4v
AU - Victor Dmitriev
AU - Amanda Evangelista da Silva
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.36255
UR - https://arxiv.org/abs/2609.36255
AB - We consider an infinite array of graphene disks in a square unit cell, where every disk of the quadrumer is excited in the dipole regime. Hybridization of plasmonic eigenmodes belonging to different IRREPs of the point group of symmetry C4v is discussed. It is shown that the hybridization of the pair of 1D IRREPs modes A1 and B2 as well as the pair A2 and B1 can exist in this symmetry. For the cell period p0 and the quadrumer period P, the relation P/p0 = 2 defines polarization independence of these pairs of modes. The discussed modes are dark ones and require for their excitation breaking the point symmetry of the quadrumer and, for breaking their degeneracy, i.e. separation in the two pairs, a modification of the discrete translation symmetry, i.e. change the parameter P/p0. The separated modes can be excited by normally incident plane wave with orthogonal polarizations.
ER -