Dynamic long range interaction induced topological edge modes in dispersive gyromagnetic lattices

We study the dynamic long range interaction induced topological photonic bands and edge modes in a one-dimensional (1D) array of strongly dispersive gyromagnetic resonant cylinders. We propose a 1D topological model for such a dispersive gyromagnetic system and demonstrate that the dynamic long-range interaction can lead to localized topological edge modes, while the quasistatic interaction alone does not. Different from the conventional Su-Schrieffer-Heeger model that has only nearest-neighbor interactions, we find that the normal modes of the system coupled strongly to the photon mode of the background medium and the dynamic effects create a different band gap. Our results indicate the importance of the dynamic long-range interactions on the band structures and topological edge modes in strongly dispersive gyromagnetic systems.