A brief review of topological photonics in one, two, and three dimensions

Abstract

Topological photonics has attracted increasing attention in recent years due to the unique opportunities it provides to manipulate light in a robust way immune to disorder and defects. Up to now, diverse photonic platforms, rich physical mechanisms and fruitful device applications have been proposed for topological photonics, including one-way waveguide, topological lasing, topological nanocavity, Dirac and Weyl points, Fermi arcs, nodal lines, etc. In this review, we provide an introduction to the field of topological photonics through the lens of topological invariants and bulk-boundary correspondence in one, two, and three dimensions, which may not only offer a unified understanding about the underlying robustness of diverse and distinct topological phenomena of light, but could also inspire further developments by introducing new topological invariants and unconventional bulk-boundary correspondence to the research of topological photonics.

29 pages, 12 figures, 341 references

References in corpus (54)

• Topological Photonics
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Scheme to Achieve Silicon Topological Photonics
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Direct observation of corner states in second-order topological photonic crystal slabs
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Novel Topological Phase with Zero Berry Curvature
• Photonic crystal nanocavity based on a topological corner state
• Topological photonic crystals: physics, designs and applications
• Low-threshold topological nanolasers based on second-order corner state
• All Topological Bands of All Nonmagnetic Stoichiometric Materials
• Topological one-way large-area waveguide states in magnetic photonic crystals
• Topologically protected valley-dependent quantum photonic circuits
• Reprogrammable plasmonic topological insulators with ultrafast control
• Bulk-edge correspondence for topological photonic continua
• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
• Three dimensional photonic Dirac points in metamaterials
• Higher-order topological phases in tunable $C_3$-symmetric photonic crystals
• Experimental observation of topological exciton-polaritons in transition metal dichalcogenide monolayers
• Coupled cavity-waveguide system based on topological corner state and edge state
• Experimental demonstration of topological slow light waveguides in valley photonic crystals
• Nonlinear imaging of nanoscale topological corner states
• Nonlinear imaging of nanoscale topological corner states
• Ideal Unconventional Weyl Point in a Chiral Photonic Metamaterial
• First-principle calculation of Chern number in gyrotropic photonic crystals
• Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
• Coexistence of pseudospin- and valley-Hall-like edge states in a photonic crystal with $C_{3v}$ symmetry
• Higher-order Dirac Semimetal in a Photonic Crystal
• Topological cavity based on slow light topological edge mode for broadband Purcell enhancement
• Plasmon-polaritonic quadrupole topological insulators
• GaAs valley photonic crystal waveguide with light-emitting InAs quantum dots
• Dual-Polarization Second-Order Photonic Topological Insulators
• Topologically protected second-harmonic generation via doubly resonant high-order photonic modes
• Higher-order topology in plasmonic kagome lattices
• Topologically non-trivial photonic surface degeneracy in a photonic metamaterial
• Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry
• Cubic 3D Chern photonic insulators with orientable large Chern vectors
• A group theoretical route to deterministic Weyl points in chiral photonic lattices
• Topological photonic crystal fibers based on second-order corner modes
• Valley-Hall topological plasmons in a graphene nanohole plasmonic crystal waveguide
• Comparative study of Hermitian and non-Hermitian topological dielectric photonic crystals
• Non-Abelian charged nodal links in dielectric photonic crystal
• Topological valley plasmon transport in bilayer graphene metasurfaces for sensing applications
• Topological Graphene plasmons in a plasmonic realization of the Su-Schrieffer-Heeger Model
• Double-bowl State in photonic Dirac nodal line semimetal
• Local orbital-angular-momentum dependent surface states with topological protection
• Optimization and robustness of topological corner state in second-order topological photonic crystal
• Section Chern number for a 3D photonic crystal and the bulk-edge correspondence
• Topological nanophotonics for photoluminescence control
• Photonic nodal lines with quadrupole Berry curvature distribution
• Ideal type-II Weyl points in twisted one-dimensional dielectric photonic crystals
• Transmission properties of microwaves at an optical Weyl point in a three-dimensional chiral photonic crystal
• Theoretical analysis of glide-Z_2 magnetic topological photonic crystals

Cited by in corpus (12)

• Large-area quantum-spin-Hall waveguide states in a three-layer topological photonic crystal heterostructure
• Chiral photonic topological states in Penrose quasicrystals
• Topological edge states in equidistant arrays of Lithium Niobate nano-waveguides
• Topologically Protected Strong-Interaction of Photonics with Free Electron
• Edge-selective extremal damping from topological heritage of dissipative Chern insulators
• A topological gap waveguide based on unidirectional locking of pseudo-spins
• Experimental Realization of Anti-Unitary Wave-Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics
• Introducing antiferromagnetic ordering on the surface states of Bi2Se3 topological insulator by Europium doping
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• Extended Haldane model -- a modern gateway to topological insulators
• Screened topological plasmons in graphene plasmonic crystals
• Topological edge states of the hexagonal linear chain