Photonic topological states mediated by staggered bianisotropy

Abstract: Photonic topological structures supporting spin-momentum locked topological states underpin a plethora of prospects and applications for disorder-robust routing of light. One of the cornerstone ideas to realize such states is to exploit uniform bianisotropic response in periodic structures with appropriate lattice symmetries, which together enable the topological bandgaps. Here, it is demonstrated that staggered bianisotropic response gives rise to the topological states even in a simple lattice geometry whose counterpart with uniform bianisotropy is topologically trivial. The reason behind this intriguing behavior is in the difference of the effective coupling between the resonant elements with the same and with the opposite signs of bianisotropy. Based on this insight, a one-dimensional equidistant array is designed, which consists of high-index all-dielectric particles with alternating signs of bianisotropic response. The array possesses chiral symmetry and hosts topologically protected edge states pinned to the frequencies of hybrid magneto-electric modes. These results pave a way towards flexible engineering of topologically robust light localization and propagation by encoding spatially varying bianisotropy patterns in photonic structures.