Topological Acoustics

Abstract

The manipulation of acoustic wave propagation in fluids has numerous applications, including some in everyday life. Acoustic technologies frequently develop in tandem with optics, using shared concepts such as waveguiding and metamedia. It is thus noteworthy that an entirely novel class of electromagnetic waves, known as topological edge states, has recently been demonstrated. These are inspired by the electronic edge states occurring in topological insulators, and possess a striking and technologically promising property: the ability to travel in a single direction along a surface without backscattering, regardless of the existence of defects or disorder. Here, we develop an analogous theory of topological fluid acoustics, and propose a scheme for realizing topological edge states in an acoustic structure containing circulating fluids. The phenomenon of disorder-free one-way sound propagation, which does not occur in ordinary acoustic devices, may have novel applications for acoustic isolators, modulators, and transducers.

4 pages, 3 figures

References in corpus (11)

• Topological Insulators
• Topological insulators and superconductors
• Topological Photonics
• Photonic Floquet Topological Insulators
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Imaging topological edge states in silicon photonics
• Robust optical delay lines via topological protection
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Topological Boundary Modes in Isostatic Lattices
• Topological phonon modes and their role in dynamic instability of microtubules

Cited by in corpus (454)

• Exceptional Topology of Non-Hermitian Systems
• Acoustic topological insulator and robust one-way sound transport
• Anomalous edge state in a non-Hermitian lattice
• Topolectrical circuit realization of topological corner modes
• Observation of topological valley transport of sound in sonic crystals
• Acoustic higher-order topological insulator on a Kagome lattice
• Topological Phononic Crystals with One-Way Elastic Edge Waves
• Topological mechanics of gyroscopic metamaterials
• Topolectrical circuits
• Floquet Topological Insulators for Sound
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Exciton-polariton topological insulator
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Classical higher-order topological insulators
• Observation of second-order topological insulators in sonic crystals
• Topologically protected acoustic helical edge states and interface states in strongly coupled metamaterial ring lattices
• Topological acoustics
• Topological phase transition in non-Hermitian quasicrystals
• Valley Vortex States in Sonic Crystals
• Synthetic gauge fields and Weyl point in Time-Reversal Invariant Acoustic Systems
• Reciprocal skin effect and its realization in a topolectrical circuit
• Elastic higher-order topological insulator with topologically protected corner states
• Topological active matter
• Photonic Topological Anderson Insulators
• Topological Sound
• Acoustic non-Hermitian skin effect from twisted winding topology
• Experimental Observation of Large Chern numbers in Photonic Crystals
• Experimental Realization of Acoustic Chern Insulator
• Double-Weyl phonons in transition-metal monosilicides
• Topological photonic crystals: physics, designs and applications
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Three-Dimensional All-Dielectric Photonic Topological Insulator
• Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
• Amorphous topological insulators constructed from random point sets
• Classification of topological phonons in linear mechanical metamaterials
• Two-Dimensionally Confined Topological Edge States in Photonic Crystals
• Acoustic realization of quadrupole topological insulators
• Higher-order topological corner states induced by gain and loss
• Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics
• Topological Phases of Sound and Light
• Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
• Valley Topological Phases in Bilayer Sonic Crystals
• Artificial gauge fields in materials and engineered systems
• Tunable Acoustic Valley-Hall Edge States in Reconfigurable Phononic Elastic Waveguides
• Tunable topological phononic crystals
• Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
• Observation of Double Weyl Phonons in Parity-Breaking FeSi
• Self-induced topological transitions and edge states supported by nonlinear staggered potentials
• Topological mechanics of origami and kirigami
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Topological Fano Resonances
• Transformable topological mechanical metamaterials
• Non-linear second-order topological insulators
• Tailoring Structure-borne Sound Through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review
• Demonstration of a 3rd order hierarchy of higher order topological states in a three-dimensional acoustic metamaterial
• Topological phononic insulator with robustly pseudospin-dependent transport
• Demonstration of a quantized acoustic octupole topological insulator
• Observation of topologically protected helical edge modes in Kagome elastic plates
• Non-Hermitian route to higher-order topology in an acoustic crystal
• Subwavelength and directional control of flexural waves in zone-folding induced topological plates
• Circuit Implementation of a Four-Dimensional Topological Insulator
• Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals
• Observation of non-Abelian topological semimetals and their phase transitions
• Real Space Invariants: Twisted Bulk-Boundary Correspondence of Fragile Topology
• Actively controllable topological phase transition in phononic beam systems
• Mechanical Weyl Modes in Topological Maxwell Lattices
• Gain and loss induced topological insulating phase in a non Hermitian electrical circuit
• Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
• Model for Topological Phononics and Phonon Diode
• Edge states and topological pumping in elastic lattices with periodically modulated coupling
• Relations between topology and the quantum metric for Chern insulators
• Quantum Spin of Elastic Wave
• Topolectrical-circuit octupole insulator with topologically protected corner states
• Topological one-way large-area waveguide states in magnetic photonic crystals
• Topological edge states of interacting photon pairs emulated in a topolectrical circuit
• Band structure engineering and reconstruction in electric circuit networks
• Acoustic type-II Weyl nodes from stacking dimerized chains
• Pseudospins and topological effects of phonons in a Kekule lattice
• Topological rainbow trapping for elastic energy harvesting in graded SSH systems
• Singularities and Poincaré Indexes of Electromagnetic Multipoles
• Zone folding induced topological insulators in phononic crystals
• Pseudomagnetic fields for sound at the nanoscale
• Controlling mass and energy diffusion with metamaterials
• Pseudo-time-reversal symmetry and topological edge states in two-dimensional acoustic crystals
• Observation of Weyl point pair annihilation in a gyromagnetic photonic crystal
• Snowflake Topological Insulator for Sound Waves
• Design and Experimental Observation of Valley-Hall Edge States in Diatomic-Graphene-like Elastic Waveguides
• Observation of Acoustic Valley Vortex States and Valley-Chirality Locked Beam Splitting
• Experimental observation of temporal pumping in electro-mechanical waveguides
• Roadmap on structured waves
• Topological quantum fluctuations and travelling wave amplifiers
• Topologically Enhanced Harmonic Generation in a Nonlinear Transmission Line Metamaterial
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Topological Insulators by Topology Optimization
• Helical edge states and topological phase transitions in phononic systems using bi-layered lattices
• Observation of photonic antichiral edge states
• Topolectric circuits: Theory and construction
• Symmetry-protected hierarchy of anomalous multipole topological band gaps in nonsymmorphic metacrystals
• Topological phase transitions and chiral inelastic transport induced by the squeezing of light
• Topological Sound and Flocking on Curved Surfaces
• Valley based splitting of topologically protected helical waves in elastic plates
• Exceptional Points in a Non-Hermitian Topological Pump
• Meta-neural-network for Realtime and Passive Deep-learning-based Object Recognition
• Coexisted Three-component Bosons and Two-component Weyl Bosons in TiS, ZrSe and HfTe
• Three-component bosons in TiS, ZrSe and HfTe
• Dynamics and topology of non-Hermitian elastic lattices with non-local feedback control interactions
• Topological hyperbolic lattices
• Active topolectrical circuits
• Sonic Landau-level lasing and synthetic gauge fields in mechanical metamaterials
• Exceptional points in topological edge spectrum of PT symmetric domain walls
• Topological interface modes in local resonant acoustic systems
• Topological insulators and semimetals in classical magnetic systems
• Boundary criticality of $PT$-invariant topology and second-order nodal-line semimetals
• Experimental Observation of Efficient Nonreciprocal Mode Transitions via Spatiotemporally-Modulated Acoustic Metamaterials
• Electromagnetic-dual metasurfaces for topological states along a one-dimensional interface
• Elastic quantum spin-Hall effect in Kagome lattices
• Inner Skin Effects on Non-Hermitian Topological Fractals
• Nonlinear one-way edge-mode interactions for frequency mixing in topological photonic crystals
• Majorana-like zero modes in Kekulé distorted sonic lattices
• Observation of Gigahertz Topological Valley Hall Effect in Nanoelectromechanical Phononic Crystals
• Experimental demonstration of topological waveguiding in elastic plates with local resonators
• Active Willis metamaterials for ultra-compact non-reciprocal linear acoustic devices
• Acoustic spin-Chern insulator induced by synthetic spin-orbit coupling with spin conservation breaking
• Edge States and Topological Pumping in Stiffness Modulated Elastic Plates
• Many-Body Topological and Skin States without Open Boundaries
• Phononic Weyl Nodal Straight Lines in High-Temperature Superconductor MgB${}_2$
• Topological circuits of inductors and capacitors
• Coupling between Exciton-Polariton Corner Modes through Edge States
• Topological lasing and self-induced transparency in two level systems
• Topological quantum optics using atom-like emitter arrays coupled to photonic crystals
• Hyperbolic band topology with non-trivial second Chern numbers
• Magic-angle Bilayer Phononic Graphene
• Experimental evidence of robust acoustic valley Hall edge states in a non-resonant topological elastic waveguide
• Non-reciprocal sound propagation in space-time modulated media
• Topological Phononic Logic
• Experimental Observation of Acoustic Weyl Points and Topological Surface States
• Selective mode conversion and rainbow trapping via graded elastic waveguides
• Elliptic operators with honeycomb symmetry: Dirac points, Edge States and Applications to Photonic Graphene
• Anomalous bulk-edge correspondence in continuous media
• Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
• Observation of edge waves in a two-dimensional Su-Schrieffer-Heeger acoustic network
• Self-ordering induces multiple topological transitions for elastic waves in phononic crystals
• Topological phases and nonreciprocal edge states in non-Hermitian Floquet Insulators
• Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons
• Quantized classical response from spectral winding topology
• ${\mathbb{Z}}_2$-projective translational symmetry protected topological phases
• Observation of topological edge states of sound at a momentum away from the high-symmetry point
• Observation of Antichiral Edge States in a Circuit Lattice
• Type-II Dirac Photons
• On the optical nonreciprocity and slow light propagation in coupled spinning optomechanical resonators
• A bulk-interface correspondence for equatorial waves
• Topological Gaseous Plasmon Polariton in Realistic Plasma
• Topological transport of sound mediated by spin-redirection geometric phase
• Topological edge states of quasiperiodic elastic metasurfaces
• Switching spinless and spinful topological phases with projective $PT$ symmetry
• Higher-order Dirac Semimetal in a Photonic Crystal
• Brillouin Klein Bottle From Artificial Gauge Fields
• Robust boundary flow in chiral active fluid
• Topological edge floppy modes in disordered fiber networks
• Nanomechanical topological insulators with an auxiliary orbital degree of freedom
• Mechanical analogue of a Majorana bound state
• Anomalous Topological Active Matter
• Dial-in Topological Metamaterials Based on Bistable Stewart Platform
• Fracturing of topological Maxwell lattices
• Nonlinear non-Hermitian higher-order topological laser
• Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
• Topological photonics: fundamental concepts, recent developments, and future directions
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Layered Photonic Topological Insulators
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Intrinsic spin Nernst effect of magnons in a noncollinear antiferromagnet
• Topological lattices realized in superconducting circuit optomechanics
• Topological phases of quantized light
• Fermionic time-reversal symmetry in a photonic topological insulator
• Valley and pseudospin-valley topologically protected edge states in symmetric pillared phononic crystals
• Topological thermal transport
• Valley-projected edge modes observed in underwater sonic crystals
• Simulating Quantum Spin Hall Effect in Topological Lieb Lattice of Linear Circuit
• Electric circuit simulations of $n$th-Chern insulators in $2n$-dimensional space and their non-Hermitian generalizations for arbitral $n$
• Non-Abelian effects in dissipative photonic topological lattices
• Nonreciprocal phonon blockade
• Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry
• L lines, C points and Chern numbers: understanding band structure topology using polarization fields
• Disorder-induced topological phase transition in a 1D mechanical system
• Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams
• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• The topological Anderson insulator phase in the Kane-Mele model
• Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals
• Exploring Topology of 1D Quasiperiodic Metastructures through Modulated LEGO Resonators
• Stabilizing multiple topological fermions on a quantum computer
• Spinful topological phases in acoustic crystals with projective PT symmetry
• Real-Time Steering of Curved Sound Beams in a Feedback-based Topological Acoustic Metamaterial
• Valley Hall phases in Kagome lattices
• Smart patterning for topological pumping of elastic surface waves
• Interfacial waveforms in chiral lattices with gyroscopic spinners
• Topological spin-Hall edge states of flexural wave in perforated metamaterial plates
• Photonic Chern insulator through homogenization of an array of particles
• Experimental observation of non-Abelian earring nodal links in phononic crystals
• Switchable phonon diodes using nonlinear topological Maxwell lattices
• Nonlinearity-induced transition in nonlinear Su-Schrieffer-Heeger model and nonlinear higher-order topological system
• Edge states in a two-dimensional honeycomb lattice of massive magnetic skyrmions
• Classification of time-reversal-invariant crystals with gauge structures
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Nonlinear mode competition and symmetry-protected power oscillations in topological lasers
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Anharmonic interatomic force constants and thermal conductivity from Grüneisen parameters: an application to graphene
• Circular phonon dichroism in Weyl semimetals
• From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
• Single Pair of Weyl Points in Nonmagnetic Crystals
• Designing topological interface states in phononic crystals based on the full phase diagrams
• Thermally triggered phononic gaps in liquids at THz scale
• Topology in non-linear mechanical systems
• Non-Abelian braiding of Majorana-like edge states and topological quantum computations in electric circuits
• Anomalous Quadrupole Topological Insulators in 2D Nonsymmorphic Sonic Crystals
• Distribution of zeros of the S-matrix of chaotic cavities with localized losses and Coherent Perfect Absorption: non-perturbative results
• Chiral phonons in honeycomb sublattice of layered CoSn-like compounds
• Non-Hermitian elastic waveguides with piezoelectric feedback actuation: non-reciprocal bands and skin modes
• Directional mechanical response in the bulk of topological metamaterials
• Topological slow light via coupling chiral edge modes with flat bands
• Klein-Gordon representation of acoustic waves and topological origin of surface acoustic modes
• Reconfigurable Microwave Photonic Topological Insulator
• Line Singularities and Hopf Indices of Electromagnetic Multipoles
• Topological mechanics in quasicrystals
• Localizing softness and stress along loops in three-dimensional topological metamaterials
• Chern insulators for electromagnetic waves in electrical circuit networks
• Topological photonic alloy
• Topologically protected elastic waves in one-dimensional phononic crystals of continuous media
• Unconventional topology with a Rashba spin-orbit coupled quantum gas
• Topologically protected interface phonons in two-dimensional nanomaterials: hexagonal boron nitride and silicon carbide
• Dirac phonons in two-dimensional materials
• Topological dynamics and excitations in lasers and condensates with saturable gain or loss
• Floquet topological insulator laser
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Kink-antikink asymmetry and impurity interactions in topological mechanical chains
• Trapped state at a dislocation in a weak magnetomechanical topological insulator
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Topologically protected pseudospins in 2D spring-mass system
• Interface states in polariton topological insulators
• Abnormal topological refraction into free medium at sub-wavelength scale in valley phononic crystal plates
• Coherent generation and detection of acoustic phonons in topological nanocavities
• Transition from topological to chaos in the nonlinear Su-Schrieffer-Heeger model
• Second-order topological insulator in breathing square lattice of magnetic vortices
• Superradiant Amplification of Acoustic Beams via Medium Rotation
• Topological waves guided by a glide-reflection symmetric crystal interface
• Observation of topological gravity-capillary waves in a water wave crystal
• Topological boundary modes in jammed matter
• General Theory of Momentum-Space Nonsymmorphic Symmetry
• Transport and localization in a topological phononic lattice with correlated disorder
• Topological Graphene plasmons in a plasmonic realization of the Su-Schrieffer-Heeger Model
• Microlocal analysis of the bulk-edge correspondence
• Topological dynamics of gyroscopic and Floquet lattices from Newton's laws
• Topological continuum charges of acoustic phonons in 2D
• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
• Mechanical Graphene
• Experimental realization of topological on-chip acoustic tweezers
• Space-Time Phononic Crystals with Anomalous Topological Edge States
• Nonreciprocal transmission of sound in viscous fluid with asymmetric scatterers
• Nonlinear photonic disclination states
• Synthetic Kramers pair in phononic elastic plates and helical edge states on a dislocation interface
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Modeling fast acoustic streaming: steady state and transient flow solutions
• Topological phase in plasma physics
• Phononic topological insulators with tunable pseudospin physics
• Nontrivial topology in the continuous spectrum of a magnetized plasma
• Topological Microlaser with A non-Hermitian Topological Bulk
• Topologically nontrivial magnonic solitons
• Acoustic metamaterials with spinning components
• Topological quantization of energy transport in micro- and nano-mechanical lattices
• Edge states and corner modes in second-order topological phononic crystal plates
• Switchable topological phonon channels
• Chiral Maxwell waves in continuous media from Berry monopoles
• Intersecting topological nodal ring and nodal wall states in superhard superconductor FeB4
• Double Dirac Cones and Topologically Non-Trivial Phonons for Continuous, Square Symmetric (C${}_{4v}$ and C${}_{2v}$) Unit Cells
• Topological Node-Lines in Mechanical Metacrystals
• A diagnosis scheme for topological degeneracies at high-symmetry momenta
• Gapless surface states originated from accidentally degenerate quadratic band touching in a three-dimensional tetragonal photonic crystal
• Effective Phononic Crystals for Non-Cartesian Elastic Wave Propagation
• Topological edge states in two-gap unitary systems: A transfer matrix approach
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Design of GaAs-based valley phononic crystals with multiple complete phononic bandgaps at ultra-high frequency
• On-chip unidirectional waveguiding for surface acoustic waves along a defect line in a triangular lattice
• Frequency Selective Wave Beaming in Nonreciprocal Acoustic Phased Arrays
• Hybrid topological magnon-phonon modes in honeycomb and kagome lattices
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Spin-orbit coupling in a hexagonal ring of pendula
• Projected Topological Branes
• Synthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial
• Valley Hall edge solitons in a photonic graphene
• Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
• The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas
• Time-reversal symmetric topological metal
• Acoustic quasi-lossless transmission in arbitrary pathway of network
• ${\mathbb{Z}}_2$ Spin Hopf Insulator: Helical Hinge States and Returning Thouless Pump
• Non-Abelian Braiding of Topological Edge Bands
• Non-reciprocal Optical Mirrors Based on Spatio-Temporal Modulation
• Optically induced topological spin-valley Hall effect for exciton polaritons
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Evanescently coupled topological ring-waveguide systems for chip-scale ultrahigh frequency phononic circuits
• Floquet Topological Polaritons in Semiconductor Microcavities
• Topological spin-plasma waves
• Generating Synthetic Magnetism via Floquet Engineering Auxiliary Qubits in Phonon-Cavity-Based Lattice
• Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Topological waveguide based on metamaterials of magnetic solitons
• Robust acoustic pulling using chiral surface waves
• Percolating States in the Topological Anderson Insulator
• Non-Hermitian topological ohmmeter
• Observation of squeezed Chern insulator in an acoustic fractal lattice
• Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene
• Prethermalization and entanglement dynamics in interacting topological pumps
• Strongly Nonlinear Topological Phases of Cascaded Topoelectrical Circuits
• Experimental demonstration of position-controllable topological interface states in high-frequency topological integrated circuits
• Topological sound in active-liquid metamaterials
• Kagome metals
• Non-trivial topology of the quasi-one-dimensional triplons in the quantum antiferromagnet ${\text{BiCu}}_2{\text{PO}}_6$
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Piezoelectric Phononic Plates: Retrieving the Frequency Band Structure via All-electric Experiments
• Realising Type II Weyl Points in an Optical Lattice
• Quench dynamics and bulk-edge correspondence in nonlinear mechanical systems
• Edge modes in 2D electromagnetic slab waveguides: analogues of acoustic plasmons
• Acoustic vortex beams in synthetic magnetic fields
• Heterogeneity-stabilized homogeneous states in driven media
• Floquet Engineering with Particle Swarm Optimization: Maximizing Topological Invariants
• Exciton-Polariton Topological Insulator with an Array of Magnetic Dots
• Command of Collective Dynamics by Topological Defects in Spherical Crystals
• Wavefront dislocations reveal the topology of quasi-1D photonic insulators
• Topology of rotating stratified fluids with and without background shear flow
• Observation of Dual-band Topological Corner Modes in Acoustic Kagome Lattice with Long-range Interactions
• A General Method to Design Acoustic Higher-Order Topological Insulators
• Two-point spectroscopy of Fibonacci topoelectrical circuits
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Asymmetric conical diffraction in dislocated edge-centered square lattices
• Topological Corner States in Graphene by Bulk and Edge Engineering
• Topological Protection and Control of Quantum Markovianity
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Su-Schrieffer-Heeger quasicrystal: Topology, localization, and mobility edge
• Tunable topological edge modes in Su-Schrieffer-Heeger arrays
• Simultaneous and independent topological control of identical microparticles in non-periodic energy landscapes
• Driving-induced metamorphosis of transport in arrays of coupled resonators
• Stacking-induced Chern insulator
• Topological band structure of surface acoustic waves on a periodically corrugated surface
• Phononic drumhead surface state in distorted kagome compound RhPb
• Periodic Clifford symmetry algebras on flux lattices
• Conical Wave Propagation and Diffraction in 2D Hexagonally Packed Granular Lattices
• Hybrid nodal surface and nodal line phonons in solids
• Energy density as a probe of band representations in photonic crystals
• Revealing the spatial nature of sublattice symmetry
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Higher-order topological phase of interacting photon pairs
• Nonlinear localized excitations in a topological ferromagnetic honeycomb lattice
• Nonlinear topological phase diagram in dimerized sine-Gordon model
• Boundary-induced dynamics in 1D topological systems and memory effects of edge modes
• Zero-frequency chiral magnonic edge states protected by non-equilibrium topology
• High Efficiency Topological Pumping with Discrete Supersymmetry Transformations
• Band Structure and Effective Properties of One-Dimensional Thermoacoustic Bloch Waves
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Topological Classical Systems with Generalized Chiral Symmetry
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Valley and Valley-like Split-ring Topological Photonic Crystal
• Observing the nodal-line conversion determined by the relative homotopy
• Unidirectional wave propagation in media with complex principal axes
• Floquet topological insulators with hybrid edges
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Band alignment effect in the topological photonic alloy
• Predicting topological materials: symmetry-based indicator theories and beyond
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Topological mechanical metamaterial with nonrectilinear constraints
• Scalable 3D printing for topological mechanical metamaterials
• A Monolithic Topologically Protected Phononic Circuit
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Bloch Oscillations, Landau-Zener Transition, and Topological Phase Evolution in a Pendula Array
• Upper bound of a band complex
• Energy polarization and energy pumping in Rice-Mele chains
• Takagi topological insulator with odd $\mathcal{P}\mathcal{T}$ pairs of corner states
• Topological Surface-plasmon-polaritons on Corrugated Metal-dielectric Surfaces
• Spectrum Cascade Bloch Oscillations in Temporally Modulated Acoustics
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Topological Corner States in Bilayer and Trilayer Systems with Vertically Stacked Topological Heterostructures
• On the role of geometric phase in the dynamics of elastic waveguides
• Projective symmetry determined topology in flux Su-Schrieffer-Heeger model
• Continuum damping of topologically-protected edge modes at the boundary of a magnetized plasma
• Observation of nonlinear higher-order topological insulators with unconventional boundary truncations
• Mode Delocalization in Disordered Photonic Chern Insulator
• Edge state behavior in a Su-Schrieffer-Heeger like model with periodically modulated hopping
• Near-field imaging of spin-locked edge states in all-dielectric topological metasurfaces
• Symmetry induced selective excitation of topological states in SSH waveguide arrays
• Contactless generation and trapping of hydrodynamic knots in sessile droplets by acoustic screw dislocations
• Metamaterials and Fluid Flows
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Temporal Parity-Time Symmetry for Extreme Energy Transformations
• Projective Spacetime Symmetry of Spacetime Crystals
• Edge modes for flexural waves in quasi-periodic linear arrays of scatterers
• Ring modes supported by concentrated cubic nonlinearity
• Resonant laser excitation and time-domain imaging of chiral topological polariton edge states
• Topological Micro-Electro-Mechanical Systems
• Takagi Topological Insulator on the Honeycomb Lattice
• Influence of geometric structure, convection, and eddy on sound propagation in acoustic metamaterial with turbulent flow
• Single-shot measurement of photonic topological invariant
• Hybrid symmetry class topological insulators
• Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity
• Hermitian and non-Hermitian topology in active matter
• Topological Anderson insulator phases in one dimensional quasi-periodic mechanical SSH chains
• Design of Large Sequential Conformational Change in Mechanical Networks
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Brillouin Platycosms and Topological Phases
• 2D Topological Edge States in Periodic Space-Time Interfaces
• Physical rendering of synthetic spaces for topological sound transport
• Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems
• Dynamically Characterizing the Structures of Dirac Points via Wave Packets
• Observation of Embedded Topology in a Trivial Bulk via Projective Crystal Symmetry
• Third-order Orbital Corner State and its Realization in Acoustic Crystals
• Phonon topology and winding of spectral weight in graphite
• Chern numbers for the index surfaces of photonic crystals: conical refraction as a basis for topological materials
• Classification of unitary operators by local generatability
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Efficient algorithms for surface density of states in topological photonic and acoustic systems
• Degenerate Topological Edge States in Multimer Chains
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Photonic Higher-Order Topological States Induced by Long Range Interactions
• Acoustic topological Anderson insulators
• Effective Medium Perspective on Topological Transitions in Metamaterials
• First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains
• Nonlinear dynamical topological phases in Cooper-pair box array
• Steerable sound transport in a 3D acoustic network
• Disorder driven topological phase transitions in 1D mechanical quasicrystals
• Artificial Gauge Field Engineered Excited-State Topology: Control of Dynamical Evolution of Localized Spinons
• Optical Control of Topological Polariton Phase in a Perovskite Lattice
• Non-Hermitian Aharonov-Bohm Cage
• Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
• Simulating monitoring-induced topological phase transitions with small systems
• Semimetals without correspondence between the topological charge of nodal line/surface and Fermi arc
• Topological energy pumping in a quasi-periodically driven four-level system
• Triply-degenerate point in three-dimensional spinless systems
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Topological Photonics on a Small Scale
• Type-II Weyl Excitation in Vortex Arrays
• Brillouin-Mandelstam Light Scattering Spectroscopy: Applications in Phononics and Spintronics
• Gauge theory for topological waves in continuum fluids with odd viscosity
• Asymmetric real topology of conduction and valence bands
• Topological defect states in elastic phononic plates
• Multi-dimensional wave steering with higher-order topological phononic crystal
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Robust zero-energy states in two-dimensional Su-Schrieffer-Heeger topological insulators
• Experimental realization of three-dimensional elastic phononic topological insulator
• Non-Hermitian physics and topological phenomena in convective thermal metamaterials
• Polarization-dependent topology in quantum emitter chains
• Bending sound around sharp corners without using topological edge states
• Experimental Realization of Acoustic Bianisotropic Gratings
• Negative exchange interaction in Si quantum dot arrays via valley-phase induced ${\mathbb{Z}}_2$ gauge field
• Anomalous enhancement of thermal radiation transport by quasidisorder
• Layer-number parity induced topological phase transition
• Topological Weyl-like Phonons and Nodal Line Phonons in Graphene