The effects of retardation on the topological plasmonic chain: plasmonic edge states beyond the quasistatic limit

Abstract

We study a one-dimensional plasmonic system with non-trivial topology: a chain of metallic nanoparticles with alternating spacing, which is the plasmonic analogue to the Su-Schreiffer-Heeger model. We extend previous efforts by including long range hopping with retardation and radiative damping, which leads to a non-Hermitian Hamiltonian with frequency dependence. We calculate band structures numerically and show that topological features such as quantised Zak phase persist due to chiral symmetry. This predicts parameters leading to topologically protected edge modes, which allows for positioning of disorder-robust hotspots at topological interfaces, opening up novel nanophotonics applications.

References in corpus (20)

• Topological Photonics
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Topological Band Theory for Non-Hermitian Hamiltonians
• Lasing in topological edge states of a 1D lattice
• Quantum spin Hall effect of light
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Theory of Linear Chains of Metamaterial/Plasmonic Particles as Sub-Diffraction Optical Nanotransmission Lines
• Infrared Topological Plasmons in Graphene
• Propagation of Surface Plasmons in Ordered and Disordered Chains of Metal Nanospheres
• Dirac-like plasmons in honeycomb lattices of metallic nanoparticles
• Topological collective plasmons in bipartite chains of metallic nanoparticles
• Dirac Spectra and Edge States in Honeycomb Plasmonic Lattices
• Topological photonics: from crystals to particles
• The Existence of Topological Edge States in Honeycomb Plasmonic Lattices
• A group theoretical route to deterministic Weyl points in chiral photonic lattices
• Retardation effects on the dispersion and propagation of plasmons in metallic nanoparticle chains
• Plasmonic edge states: an electrostatic eigenmode description
• Disorder-induced Purcell enhancement in nanoparticle chains
• Time-dependent transport of a localized surface plasmon through a linear array of metal nanoparticles: Precursor and normal mode contributions

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