Retardation effects on the dispersion and propagation of plasmons in metallic nanoparticle chains

Charles A Downing; Eros Mariani; Guillaume Weick

doi:10.1088/1361-648x/aa9d59

journal article Dec 08, 2017

Retardation effects on the dispersion and propagation of plasmons in metallic nanoparticle chains

Charles A Downing Eros Mariani Guillaume Weick

Journal of Physics: Condensed Matter Vol. 30 No. 2 pp. 025301 · IOP Publishing

View at Publisher Save 10.1088/1361-648x/aa9d59

Abstract

Abstract
We consider a chain of regularly-spaced spherical metallic nanoparticles, where each particle supports three degenerate localized surface plasmons. Due to the dipolar interaction between the nanoparticles, the localized plasmons couple to form extended collective modes. Using an open quantum system approach in which the collective plasmons are interacting with vacuum electromagnetic modes and which, importantly, readily incorporates retardation via the light-matter coupling, we analytically evaluate the resulting radiative frequency shifts of the plasmonic bandstructure. For subwavelength-sized nanoparticles, our analytical treatment provides an excellent quantitative agreement with the results stemming from laborious numerical calculations based on fully-retarded solutions to Maxwell’s equations. Indeed, the explicit expressions for the plasmonic spectrum which we provide showcase how including retardation gives rise to a logarithmic singularity in the bandstructure of transverse-polarized plasmons. We further study the impact of retardation effects on the propagation of plasmonic excitations along the chain. While for the longitudinal modes, retardation has a negligible effect, we find that the retarded dipolar interaction can significantly modify the plasmon propagation in the case of transverse-polarized modes. Moreover, our results elucidate the analogy between radiative effects in nanoplasmonic systems and the cooperative Lamb shift in atomic physics.

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Details

Published: Dec 08, 2017
Vol/Issue: 30(2)
Pages: 025301
License: View

Authors

Funding

Agence Nationale de la Recherche Award: ANR-14-CE26-0005 Q-MetaMat

Royal Society Award: Newton Mobility Grants 2016/R1 UK-Brazil

Leverhulme Trust Award: RPG-2015-101

Cite This Article

Charles A Downing, Eros Mariani, Guillaume Weick (2017). Retardation effects on the dispersion and propagation of plasmons in metallic nanoparticle chains. Journal of Physics: Condensed Matter, 30(2), 025301. https://doi.org/10.1088/1361-648x/aa9d59

Retardation effects on the dispersion and propagation of plasmons in metallic nanoparticle chains

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