Topological photonics: from crystals to particles

Abstract

Photonic crystal topological insulators host protected states at their edges. In the band structure these edge states appear as continuous bands crossing the photonic band gap. They allow light to propagate unidirectionally and without scattering. In practice it is essential to make devices relying on these effects as miniature as possible. Here we study all-dielectric photonic topological insulator particles (finite crystals) which do not require a magnetic field. In such particles the edge states' frequencies are discrete. Nevertheless, the discrete states support pseudospin-dependent unidirectional propagation. They allow light to bend around sharp corners similarly to the continuous edge states and act as topologically protected whispering gallery modes which can store and filter light as well as manipulate its angular momentum. In addition, they explain multiple experimental observations of discrete transmission peaks in photonic topological insulators.

6 pages, 5 figures. Added references, corrected typos, replaced Fig. 5d

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• Engineering Fragile Topology in Photonic Crystals: Topological Quantum Chemistry of Light
• On the robustness of topological corner modes in photonic crystals
• Frequency-dependent topological phases and photonic detouring in valley photonic crystals
• Bulk-edge correspondence and long range hopping in the topological plasmonic chain
• Topological bands and triply-degenerate points in non-Hermitian hyperbolic metamaterials
• Critical couplings in topological-insulator waveguide-resonator systems observed in elastic waves
• Higher-order topology in plasmonic kagome lattices
• Interfacial waveforms in chiral lattices with gyroscopic spinners
• Berry bands and pseudo-spin of topological photonic phases
• Topological Ring-Cavity Laser Formed by Honeycomb Photonic Crystals
• Higher-order topological spin Hall effect of sound
• Floquet Mode Resonance: Trapping light in the bulk mode of a Floquet topological insulator by quantum self-interference
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Energy density as a probe of band representations in photonic crystals
• Comment on "Spin-Momentum-Locked Edge Mode for Topological Vortex Lasing, Phys. Rev. Lett. vol. 125, 013903 (2020)"
• Realization of chiral whispering gallery mode cavities enabled by photonic Chern insulators
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities