Topological photonic systems, with their ability to host states protected against disorder and perturbation, allow us to do with photons what topological insulators do with electrons. Topological photonics can refer to electronic systems coupled with light or purely photonic setups. By shrinking these systems to the nanoscale, we can harness the enhanced sensitivity observed in nanoscale structures and combine this with the protection of the topological photonic states, allowing us to design photonic local density of states and to push towards one of the ultimate goals of modern science: the precise control of photons at the nanoscale. This is paramount for both nano-technological applications and also for fundamental research in light matter problems. For purely photonic systems, we work with bosonic rather than fermionic states, so the implementation of topology in these systems requires new paradigms. Trying to face these challenges has helped in the creation of the exciting new field of topological nanophotonics, with far-reaching applications. In this prospective article we review milestones in topological photonics and discuss how they can be built upon at the nanoscale.
I. OVERVIEWOne of the ultimate goals of modern science is the precise control of photons at the nanoscale. Topological nanophotonics offers a promising path towards this aim.A key feature of topological condensed matter systems is the presence of topologically protected surface states immune to disorder and impurities. These unusual properties can be transferred to nanophotonic systems, allowing us to combine the high sensitivity of nanoscale systems with the robustness of topological states. We expect that this new field of topological nanophotonics will lead to a plethora of new applications and increased physical insight.In this perspective, as presented schematically in FIG. 1, we begin (section II) by exploring topology in electronic systems. We aim this section towards readers who are new to the topic, so begin at an introductory level where no prior knowledge of topology is assumed.In section III we introduce light, first by discussing how topological electronic systems can interact with light (section III A), then move onto the topic of topological photonic analogues (section III B), in which purely photonic platforms are used to mimic the physics of topological condensed matter systems.In section IV we discuss various paths via which topological photonics can be steered into the nanoscale. Excellent and extensive reviews already exist on topological photonics [1][2][3][4], and many platforms showcasing unique strengths and limitations are currently being studied in the drive towards new applications in topological photonics such as cold atoms [5], liquid helium [6], polaritons [7], acoustic [8] and mechanical systems [9] but in this work * marie.rider16@imperial.ac.uk † www.GianniniLab.com FIG. 1. Schematic overview Schematic showing the topics covered in this perspective.we restrict ourselves to nanostructures. We discuss the effo...