Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials

Abstract

Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal invariant topological insulators. Because of limitations imposed by nature, topologically non-trivial electronic order seems to be uncommon except in small-band-gap semiconductors with strong spin-orbit interactions. In this Article we show that artificial electromagnetic structures, known as metamaterials, provide an attractive platform for designing photonic analogues of topological insulators. We demonstrate that a judicious choice of the metamaterial parameters can create photonic phases that support a pair of helical edge states, and that these edge states enable one-way photonic transport that is robust against disorder.

13 pages, 3 figures

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Cited by in corpus (108)

• Topological Photonics
• Quantum fluids of light
• Scheme to Achieve Silicon Topological Photonics
• Topological Acoustics
• Observation of topological valley transport of sound in sonic crystals
• Quantum spin Hall effect of light
• 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
• Valley Vortex States in Sonic Crystals
• Topological properties of linear circuit lattices
• Topological Polaritons
• Topologically Robust Transport of Photons in a Synthetic Gauge Field
• Observation of topological valley modes in an elastic hexagonal lattice
• Active topological photonics
• Polariton $\mathbb{Z}$ Topological Insulator
• Low-threshold topological nanolasers based on second-order corner state
• Crystalline metamaterials for topological properties at subwavelength scales
• Engineering spin-orbit coupling for photons and polaritons in microstructures
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Topological index for periodically driven time-reversal invariant 2D systems
• Spin-orbit coupling and optical spin Hall effect in photonic graphene
• Zone folding induced topological insulators in phononic crystals
• Topological non-Hermitian origin of surface Maxwell waves
• Magnonic topological insulators in antiferromagnets
• Measurement of a topological edge invariant in a microwave network
• Topological Insulators by Topology Optimization
• A perspective on topological nanophotonics: current status and future challenges
• Bulk-edge correspondence for topological photonic continua
• Optical isolation with nonlinear topological photonics
• Three dimensional photonic Dirac points in metamaterials
• Cavity Quantum Electrodynamics with Second-Order Topological Corner State
• Quantum and Wave Dynamical Chaos in Superconducting Microwave Billiards
• Broadband topological slow light through higher momentum-space winding
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• PTD Symmetry Protected Scattering Anomaly in Optics
• Nonlinearity induced topological physics in momentum space and real space
• The Emergence of Topological Nodal Points in Photonic Crystal with Mirror Symmetry
• Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
• Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons
• Plasmon-polaritonic quadrupole topological insulators
• GaAs valley photonic crystal waveguide with light-emitting InAs quantum dots
• Topological Angular Momentum and Radiative Heat Transport in Closed Orbits
• The Existence of Topological Edge States in Honeycomb Plasmonic Lattices
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• The Nature of Topological Protection in Spin and Valley Hall Insulators
• Topological growing of Laughlin states in synthetic gauge fields
• Dynamic localization of light from a time-dependent effective gauge field for photons
• Valley Hall phases in Kagome lattices
• Topologically non-trivial photonic surface degeneracy in a photonic metamaterial
• Photonic Chern insulator through homogenization of an array of particles
• Tuning Topological Phase Transitions in Hexagonal Photonic Lattices Made of Triangular Rods
• Periodic array of quantum rings strongly coupled to circularly polarized light as a topological insulator
• Topologically protected elastic waves in one-dimensional phononic crystals of continuous media
• Disorder-Induced Quantum Phase Transitions in Three-Dimensional Second-Order Topological Insulators
• Floquet topological insulator laser
• Topology of Triple-Point Metals
• Interface states in polariton topological insulators
• Conical diffraction and the dispersion surface of hyperbolic metamaterials
• Photonic Versus Electronic Quantum Anomalous Hall Effect
• Geometric interpretations for resonances of plasmonic nanoparticles
• Electromagnetic confinement via spin-orbit interaction in anisotropic dielectrics
• Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of 1D and 2D lattices
• Robust Topological Terahertz Circuits using Semiconductors
• Transverse angular momentum in topological photonic crystals
• Local orbital-angular-momentum dependent surface states with topological protection
• Interplay between diffraction and the Pancharatnam-Berry phase in inhomogeneously twisted anisotropic media
• Gapless surface states originated from accidentally degenerate quadratic band touching in a three-dimensional tetragonal photonic crystal
• Engineering topological edge states in two dimensional magnetic photonic crystal
• Design of GaAs-based valley phononic crystals with multiple complete phononic bandgaps at ultra-high frequency
• Bloch oscillations of topological edge modes
• Section Chern number for a 3D photonic crystal and the bulk-edge correspondence
• Edge states in self-complementary checkerboard photonic crystals: Zak phase, surface impedance and experimental verification
• Effective medium theory for photonic pseudospin-1/2 system
• On the Role of Symmetries in the Theory of Photonic Crystals
• Chiral topological excitons in the monolayer transition metal dichalcogenides
• Transition from Dirac points to exceptional points in anisotropic waveguides
• Test of the Atiyah-Singer Index Theorem for Fullerene with a Superconducting Microwave Resonator
• Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice
• Topological Protection and Control of Quantum Markovianity
• Synthetic gauge potential and effective magnetic field in a Raman medium undergoing molecular modulation
• Elastic Spin Hall effect in Mechanical Graphene
• Helical transport in coupled resonator waveguides
• Topological Flat Band and Parity-Time Symmetry in a Honeycomb Lattice of Coupled Resonant Optical Waveguides
• A Monolithic Topologically Protected Phononic Circuit
• Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
• Interacting topological phases in thin films of topological mirror Kondo insulators
• Cavity-induced backscattering in a two-dimensional photonic topological system
• Near-field imaging of spin-locked edge states in all-dielectric topological metasurfaces
• Sorting and Routing Topologically Protected Edge States by their Valleys
• Spin and valley polarized one-way Klein tunneling in photonic topological insulators
• 3D $Z_2$ Topological Nodes in Nonsymmorphic Photonic Crystals: Ultrastrong Coupling and Anomalous Refraction
• Controlling scattering of light through topological transitions in all-dielectric metasurfaces
• Photonic analogue of quantum spin Hall effect
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Edge states and the Valley Hall Effect
• Experimental demonstration of an anomalous Floquet topological insulator based on negative-index media
• Generating electromagnetic modes with fine tunable orbital angular momentum by planar topological circuits
• Direct visualization of topological transitions and higher-order topological states in photonic metasurfaces
• Extremely broadband topological surface states in a photonic topological metamaterials
• Transport properties of photonic topological insulators based on microring resonator array
• Higher-order Quantum Spin Hall Effect of Light
• Transverse photon spin beyond interfaces
• Topological transitions induced by cavity-mediated interactions in photonic valley-Hall metasurfaces
• Theory of light diffusion through amplifying photonic lattice
• One-dimensional topological quasiperiodic chain for directional wireless power transfer
• Topological Edge Solitons in Polaritonic Lattice