Topological plasmonics was approached by considering a chain of plasmonic nanoparticles with alternating spacing. This system is a one dimensional topological insulator known as the SSH model and it served to characterize the main features of topological plasmonics, where radiative and retardation effects are relevant. It was shown that the nanoparticle chain is a one dimensional insulator with protected edge states localized at the edges of the chain [ACS Photonics 5 (6), 2271-2279 (2018)]. Furthermore, topological nanophotonics offers a flexible platform to study topological Physics without electronic counterpart. In particular, the topological nanophotonic systems studied in this project allowed us to study the effect of long-range interactions and finite sample sizes on the topological properties [Physical Review B (Rapid Communications) 96 (4), 041408 (2017)].
On the other hand, novel applications of plasmonic metasurfaces were envisioned through the application of the theory of transformation optics which considers spatial symmetries. This theory provides analytical insight on the design of plasmonic systems and was applied to plasmonic metasurfaces with novel designs [Physical Review B 95 (15), 155401 (2017)]. In particular, plasmonic metasurfaces based on graphene were demonstrated which are capable of absorbing half on the incident radiation on this atomically thin material and even perfect absorption [ EPJ Applied Metamaterials 4 (6) (2017)]. Furthermore, plasmonic metasurfaces comprising a periodic array of singularities in the form of sharp metal edges (or supressed conductivity on a graphene layer) were proposed [Science, 358(6365), 915-917 (2017)]. Interestingly, the optical response of these periodic two dimensional structures is characteristic of a bulk, that is, they present a continuous rather than discrete absorption spectrum. External radiation is trapped by the metasurface and it travels towards the singularities where it is compressed to the nanometer scale [Physical Review B 98, 125409 (2018)]. This is accompanied by very large field enhancements and a broad spectrum [ACS Nano, 12 (2), 1006-1013 (2018)].