Plasmon polaritons in cubic lattices of spherical metallic nanoparticles

Abstract

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 wavevector 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.

arXiv comment11 pages, 5 figures; published version

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Cited by in corpus (12)

• Topological collective plasmons in bipartite chains of metallic nanoparticles
• Topological phases of polaritons in a cavity waveguide
• Gauge invariance of the Dicke and Hopfield models
• Topological plasmons in dimerized chains of nanoparticles: robustness against long-range quasistatic interactions and retardation effects
• Selection rules for structured light in nanooligomers and other nanosystems
• Plasmons in two-dimensional lattices of near-field coupled nanoparticles
• Plasmon-Polaritons in Nanoparticle Supercrystals: Microscopic Quantum Theory Beyond the Dipole Approximation
• Quantum theory of plasmon polaritons in chains of metallic nanoparticles: From near- to far-field coupling regime
• Plasmon Polaritons in Disordered Nanoparticle Assemblies
• Quantum Phase Transitions in Many-Dipole Light-Matter Systems
• Topological transitions induced by cavity-mediated interactions in photonic valley-Hall metasurfaces
• Microscopic quantum description of surface plasmon polaritons: Revealing intrinsic ultrastrong light-matter coupling