Topological transitions in continuously-deformed photonic crystals

Abstract

We demonstrate that multiple topological transitions can occur, with high-sensitivity, by continuous change of the geometry of a simple 2D dielectric-frame photonic crystal consisting of circular air-holes. By changing the radii of the holes and/or the distance between them, multiple transitions between normal and topological photonic band gaps (PBGs) can appear. The time-reversal symmetric topological PBGs resemble the quantum spin-Hall insulator of electrons and have two counter-propagating edge states. We search for optimal topological transitions, i.e., sharp transitions sensitive to the geometry, and optimal topological PBGs, i.e., large PBGs with clean spectrum of edge states. Such optimizations reveal that dielectric-frame photonic crystals are promising for optical sensors and unidirectional waveguides.

submitted to Phys. Rev. B

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• Plasmon-polaritonic quadrupole topological insulators
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• Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry
• Type-II Dirac photons at the metasurfaces
• Transport tuning of photonic topological edge states by optical cavities
• Topologically protected Fano resonance in photonic valley Hall insulators
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• Frequency tunable topological edge states of two-dimensional honeycomb lattice photonic crystals
• Higher-order topological spin Hall effect of sound
• Efficient Design of Helical Higher-Order Topological Insulators in 3D Elastic Medium
• Robust Transport of the Edge Modes along the Photonic Topological Interfaces of Different Configurations
• Experimental demonstration of an anomalous Floquet topological insulator based on negative-index media
• Manipulation of photonic topological edge and corner states via trivial claddings
• Pseudospin-valley-coupled phononic topological insulator with edge and corner states
• Topological Photonic Crystal of Large Valley Chern Numbers