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We study a one-dimensional plasmonic system with non-trivial topology: achain of metallic nanoparticles with alternating spacing, which is theplasmonic analogue to the Su-Schreiffer-Heeger model. We extend previousefforts by including long range hopping with retardation and radiative damping,which leads to a non-Hermitian Hamiltonian with frequency dependence. Wecalculate band structures numerically and show that topological features suchas quantised Zak phase persist due to chiral symmetry. This predicts parametersleading to topologically protected edge modes, which allows for positioning ofdisorder-robust hotspots at topological interfaces, opening up novelnanophotonics applications.

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