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.

arXiv comment13 pages, 3 figures

References in corpus (29)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Topological invariants of time-reversal-invariant band structures
• Dissipationless Quantum Spin Current at Room Temperature
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Robust optical delay lines via topological protection
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Analogs of quantum Hall effect edge states in photonic crystals
• Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Geometrodynamics of Spinning Light
• Nonlinear properties of left-handed metamaterials
• On the $Z_2$ classification of Quantum Spin Hall Models
• Topological spin transport of photons: the optical Magnus Effect and Berry Phase
• Effective theory of quadratic degeneracies
• Optical Magnetoelectric Effect in Multiferroic Materials: Evidence for a Lorentz Force Acting on a Ray of Light
• Modified geometrical optics of a smoothly inhomogeneous isotropic medium: the anisotropy, Berry phase, and the optical Magnus effect
• Analysis of Nonlinear Electromagnetic Metamaterials
• Negative-index bi-anisotropic photonic metamaterial fabricated by direct laser writing and silver shadow evaporation
• Bianisotropic route to the realization and matching of backward-wave metamaterial slabs
• Geometric optics of Bloch waves in a chiral and dissipative medium

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• Inducing and controlling rotation on small objects using photonic topological materials
• Babinet-Complementary Structures for Implementation of Pseudospin-Polarized Waveguides
• Topological light guiding and trapping via shifted photonic crystal interfaces
• Edge modes in 2D electromagnetic slab waveguides: analogues of acoustic plasmons
• Quench dynamics and bulk-edge correspondence in nonlinear mechanical systems
• Driven-dissipative topological phases in parametric resonator arrays
• Test of the Atiyah-Singer Index Theorem for Fullerene with a Superconducting Microwave Resonator
• Lorenz-Mie theory for 2D scattering and resonance calculations
• Transition from Dirac points to exceptional points in anisotropic waveguides
• Topological Sensing with Photonic Arrays of Resonant Circular Waveguides
• Topological Edge and Corner States in Biphenylene Network
• Topological Floquet interface states in optical fibre loops
• Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice
• Substrate-induced topological minibands in graphene
• Angular-Momentum Selectivity and Asymmetry in Highly Confined Wave Propagation Along Sheath-Helical Metasurface Tubes
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Polariton vortex Chern insulator
• Asymmetric Cherenkov Emission in a Topological Plasmonic Waveguide
• Wave packet dynamics in slowly modulated photonic graphene
• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• Photonic spin Hall effect mediated by bianisotropy
• Topological Protection and Control of Quantum Markovianity
• Topological bulk solitons in a nonlinear photonic Chern insulator
• Synthetic gauge potential and effective magnetic field in a Raman medium undergoing molecular modulation
• Lasing with Topological Weyl Semimetal
• Topological quantum optical states in quasiperiodic cold atomic chains
• Intrinsic triple degeneracy point bounded by nodal surfaces in chiral photonic crystal
• Topological Theory for Perfect Metasurface Isolators
• Electromagnetic Proximity Effect: Superconducting Magnonics and Beyond
• Locally Polarized Wave Propagation through Metamaterials' Crystallinity
• Tunable topological edge modes in Su-Schrieffer-Heeger arrays
• Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Topological phonon polariton enhanced radiative heat transfer in bichromatic nanoparticle arrays mimicking Aubry-André-Harper model
• Topologically protected photonic transport in bi-anisotropic meta-waveguides
• Chiral transport of pseudo-spinors induced by synthetic gravitational field in photonic Weyl metamaterials
• Construction of various time-dependent Hamiltonians on a single photonic chip
• Topological skyrmion phases of matter
• Asymptotically exact photonic analogues of chiral symmetric topological tight-binding models
• Classical Emergence of Intrinsic Spin-Orbit Interaction of Light at the Nanoscale
• Properties of the eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry
• Topological magnons in one-dimensional ferromagnetic Su-Schrieffer-Heeger model with anisotropic interaction
• Spin-valley-controlled photonic topological insulator
• Realizing Topological Mott Insulators from the RKKY Interaction
• Topological Flat Band and Parity-Time Symmetry in a Honeycomb Lattice of Coupled Resonant Optical Waveguides
• Elastic Spin Hall effect in Mechanical Graphene
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Elimination of polarization degeneracy in circularly symmetric bianisotropic waveguides: a decoupled case
• Closed-form expressions for effective constitutive parameters and electro/magneto-strictive tensors for bi-anisotropic metamaterials and their use in optical force density calculations
• Strong magneto-optical response enabled by quantum two level systems
• Helical transport in coupled resonator waveguides
• Multipolar edge states in the breathing kagome model
• Supersymmetric non-Hermitian topological interface laser
• Giant Asymmetric Radiation from an Ultrathin Bianisotropic Metamaterial
• Possible Realization of Optical Quadratic and Dirac Points in Woodpile Photonic Crystals
• Topological aspects in the photonic crystal analog of single-particle transport in quantum Hall systems
• Optical Thouless pumping transport and nonlinear switching in a topological low-dimensional discrete nematic liquid crystal array
• Nonlinear topological phase diagram in dimerized sine-Gordon model
• Stability of dynamical topology against dynamical noise in quantum quenches
• Extraordinary wavelength reduction in terahertz graphene-cladded photonic crystal slabs
• Topological Classical Systems with Generalized Chiral Symmetry
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Mode-selective Single-dipole Excitation and Controlled Routing of Guided Waves in a Multi-mode Topological Waveguide
• Topological crystalline protection in a photonic system
• Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
• Two-Dimensional Thouless Pumping of Ultracold Fermions in Obliquely Introduced Optical Superlattice
• Bloch Oscillations of Hybrid Light-Matter Particles in a Waveguide Array
• Momentum-Space Topological Effects of Nonreciprocity
• Defect bulk-boundary correspondence of topological skyrmion phases of matter
• Generic theory of characterizing topological phases under quantum slow dynamics
• Optimal design of fast topological pumping
• Discovery of topological metamaterials by symmetry relaxation and smooth topological indicators
• Realization of topological superlattices and the associated interface states in one-dimensional plasmonic crystals
• Spin-momentum locked modes on anti-phase boundaries in photonic crystals
• Relative homotopy approach to topological phases in quantum walks
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Size and host-medium effects on topologically protected surface states in bi-anisotropic 3D optical waveguides
• Experimental probe of band structures of bilayer valley photonic crystals
• Honeycomb Schroedinger operators in the strong binding regime
• Optically controllable coupling between edge and topological interface modes of graphene metasurfaces
• Classical topological paramagnetism
• Tunability of Spin-Dependent Secondary Topological Interface States Induced in an Optical Complex Superlattice
• A Monolithic Topologically Protected Phononic Circuit
• Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
• Quantum Anomalous Hall Effect in a Perovskite and Inverse-Perovskite Sandwich Structure
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Interacting topological phases in thin films of topological mirror Kondo insulators
• Topological Corner States in Bilayer and Trilayer Systems with Vertically Stacked Topological Heterostructures
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Topological Phases in Fractals: Local Spin Chern Marker in the Sierpinski carpet Kane-Mele-Rashba Model
• Near-field imaging of spin-locked edge states in all-dielectric topological metasurfaces
• Testing the Wave-Particle Duality of Gravitational Wave Using the Spin-Orbital-Hall Effect of Structured Light
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Dirac Metamaterial Assembled by Pyrene Derivative and its Topological Photonics
• Cavity-induced backscattering in a two-dimensional photonic topological system
• Acoustic semimetal with Weyl points and surface states
• Signature of edge states in resonant wave scattering
• Co-existing topological and Volkov-Pankratov plasmonic edge states in magnetized graphene
• Observation of photonic spin-momentum locking due to coupling of achiral metamaterials and quantum dots
• Metamaterials and Fluid Flows
• Tuning bulk topological magnon properties with light-induced magnons
• Sorting and Routing Topologically Protected Edge States by their Valleys
• Spin and valley polarized one-way Klein tunneling in photonic topological insulators
• Chirality-selective topological magnon phase transition induced by interplay of anisotropic exchange interactions in honeycomb ferromagnet
• Fixed points on band structures of non-Hermitian models: Extended states in the bandgap and ideal superluminal tunneling
• Photonic quadrupole topological phases in zero-dimensional cavity with synthetic dimensions
• Time delay in a disordered topological system
• Topological and nontopological edge states induced by qubit-assisted coupling potentials
• Edge States with Hidden Topology in Spinner Lattices
• Hermitian and non-Hermitian topology in active matter
• Cloaking the magnons
• Topological Micro-Electro-Mechanical Systems
• Canonical scattering problem in topological metamaterials: Valley-Hall modes through a bend
• Circular edge states in photonic crystals with a Dirac node
• Single-shot measurement of photonic topological invariant
• Photonic emulation of two-dimensional materials with antiferromagnetic order
• Design of a room-temperature topological exciton-polariton laser in a ZnO/TiO${}_2$-photonic crystal slab
• Quantum Topological Boundary States in Quasi-crystal
• Dynamics of transmission in disordered topological insulators
• Ring modes supported by concentrated cubic nonlinearity
• Realization of chiral whispering gallery mode cavities enabled by photonic Chern insulators
• Thermal-Field Electron Emission from Three-Dimensional Topological Semimetals
• Electromagnetic Helicity in Twisted Cavity Resonators
• Topological edge states in all-dielectric square-lattice arrays of bianisotropic microwave resonators
• Topologically Protected Photonic Modes in Composite Quantum Hall/Quantum Spin Hall Waveguides
• Chern numbers for the index surfaces of photonic crystals: conical refraction as a basis for topological materials
• Diffusive Topological Transport in Spatiotemporal Thermal Lattices
• 3D $Z_2$ Topological Nodes in Nonsymmorphic Photonic Crystals: Ultrastrong Coupling and Anomalous Refraction
• Topological phase transition in an all-optical exciton-polariton lattice
• Two-dimensional Dirac matter in the semiclassical regime
• Unfitted Nitsche's method for computing wave modes in topological materials
• Self-induced manipulation of biphoton entanglement in topologically distinct modes
• Controlling scattering of light through topological transitions in all-dielectric metasurfaces
• Experimental demonstration of an anomalous Floquet topological insulator based on negative-index media
• Non-Hermitian topological filters
• Generating electromagnetic modes with fine tunable orbital angular momentum by planar topological circuits
• A toolbox for elementary fermions with a dipolar Fermi gas in a 3D optical lattice
• Edge Solitons in a Nonlinear Mechanical Topological Insulator
• Helical boundary modes from synthetic spin in a plasmonic lattice
• Theory of quantum spin-Hall topological lasers
• Free-electron radiation engineering via structured environments
• Spin photonic topological metasurface based on kagome lattice and leaky-wave application
• Optical Control of Topological Polariton Phase in a Perovskite Lattice
• Observation of topologically enabled complete polarization conversion
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Surface-localized transmission eigenstates, super-resolution imaging and pseudo surface plasmon modes
• Nonlinear dynamical topological phases in Cooper-pair box array
• Topological transitions controlled by the interaction range
• Semiclassical bifurcations and topological phase transitions in a one-dimensional lattice of coupled Lipkin-Meshkov-Glick models
• Photonic Higher-Order Topological States Induced by Long Range Interactions
• Propagation of light through amplifying honeycomb photonic lattice
• Edge states and the Valley Hall Effect
• Photonic analogue of quantum spin Hall effect
• Haldane graphene billiards versus relativistic neutrino billiards
• Extremely broadband topological surface states in a photonic topological metamaterials
• Synchronized in-gap edge states and robust copropagation in topological insulators without magnetic flux
• Theoretical description of interface states in a tetragonal lattice of bianisotropic resonators
• Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
• Simulating topological phases and topological phase transitions with classical strings
• Screened topological plasmons in graphene plasmonic crystals
• Topological Photonics on a Small Scale
• Dynamically tuneable helicity in twisted electromagnetic resonators
• Robust zero-energy states in two-dimensional Su-Schrieffer-Heeger topological insulators
• Dynamics of transport by helical edge states
• Lithium Niobate Photonic Topological Insulator-based Multi-Wavelength Optical Demultiplexer with Piezoelectric Switch-Off
• One-dimensional topological quasiperiodic chain for directional wireless power transfer
• Theory of light diffusion through amplifying photonic lattice
• Advances in Synthetic Gauge Fields for Light Through Dynamic Modulation
• Topological transitions induced by cavity-mediated interactions in photonic valley-Hall metasurfaces
• Observation of the topological edge state in X-ray band
• Direct visualization of topological transitions and higher-order topological states in photonic metasurfaces
• Higher-order Quantum Spin Hall Effect of Light
• Classification of Topological Phase in 2D Photonic Continuous Media Using Electromagnetic Parameters
• Angular momentum-dependent topological transport and its experimental realization using a transmission line network
• Transverse photon spin beyond interfaces
• Seeing Topological Order and Band Inversion in Optical Diatomic Chain
• Topologically protected long-range coherent energy transfer
• Topological Edge Solitons in Polaritonic Lattice
• Full investigation of nonadiabatic dynamical characterization in arbitrary quenching process
• Valley-Hall-like second-order photonic topological insulators in Kagome lattice
• Photonic quantum Hall effects
• Pseudospin-valley-coupled phononic topological insulator with edge and corner states
• Transport properties of photonic topological insulators based on microring resonator array
• Observation of an Effective Magnetic field for Light
• Topologically protected strong coupling and entanglement between distant quantum emitters
• Topological Lattice Metamaterials -- A Platform For Novel Electromagnetic Material Design Based On An Artificial Topological "Atom"
• Generation of Half-Integer Harmonics and Efficient THz-to-Visible Frequency Conversion in Strained Graphene
• Analytical solutions of topological surface states in a series of lattice models
• Photonic Kondo model