Plasmon polaritons in cubic lattices of spherical metallic nanoparticles

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2018
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Mann, Charlie-Ray
Hellbach, Felicitas
Mariani, Eros
Weick, Guillaume
Pauly, Fabian
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We theoretically investigate plasmon polaritons in cubic lattices of spherical metallic nanoparticles. The nanoparticles, each supporting triply-degenerate localized surface plasmons, couple through the Coulomb dipole-dipole interaction, giving rise to collective plasmons that extend over the whole metamaterial. The latter hybridize with photons forming plasmon polaritons, which are the hybrid light-matter eigenmodes of the system. We derive general analytical expressions to evaluate both plasmon and plasmon-polariton dispersions and the corresponding eigenstates. These are obtained within a Hamiltonian formalism, which takes into account retardation effects in the dipolar interaction between the nanoparticles and considers the dielectric properties of the nanoparticles as well as their surrounding. Within this model we predict polaritonic splittings in the near-infrared to the visible range of the electromagnetic spectrum that depend on polarization, lattice symmetry, and wave-vector direction. Finally, we show that the predictions of our model are in excellent quantitative agreement with conventional finite-difference frequency-domain simulations, but with the advantages of analytical insight and significantly reduced computational cost.

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ISO 690LAMOWSKI, Simon, Charlie-Ray MANN, Felicitas HELLBACH, Eros MARIANI, Guillaume WEICK, Fabian PAULY, 2018. Plasmon polaritons in cubic lattices of spherical metallic nanoparticles. In: Physical Review B. 2018, 97(12), 125409. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.97.125409
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@article{Lamowski2018Plasm-41954,
  year={2018},
  doi={10.1103/PhysRevB.97.125409},
  title={Plasmon polaritons in cubic lattices of spherical metallic nanoparticles},
  number={12},
  volume={97},
  issn={2469-9950},
  journal={Physical Review B},
  author={Lamowski, Simon and Mann, Charlie-Ray and Hellbach, Felicitas and Mariani, Eros and Weick, Guillaume and Pauly, Fabian},
  note={Article Number: 125409}
}
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