New Publication: Plasmon polaritons in cubic lattices of spherical metallic nanoparticles

Charlie-Ray Mann published an article on Plasmon polaritons in cubic lattices of spherical metallic nanoparticles in Physical Review B.   In addition, Charlie informed us that his next publication has just been accepted by Nature Comms. We look forward to posting the link to it as soon as it becomes available online. Congratulations, Charlie, well done!

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 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.

Figure (a),(b): Density plots for the distribution of the electric field of the low-energy transverse polaritonic modes, shown on a plane cutting through the center of the primitive cell. These distributions are calculated at q=0.49π(ˆx+ˆy)/a in the direction of the twofold symmetry axis, using the parameters rnp=10nm, a=3rnp, εd=5.6, εm=1, ωp=9.6eV/ℏ, and γD=22.8meV/ℏ [47]. The dipolar modes exhibit a polarization oriented in the (a) ˆy−ˆx and (b) ˆz directions.
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