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Geometric phase and band inversion in periodic acoustic systems

https://doi.org/10.1038/nphys3228
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Subwavelength tunable topological interface modes in metamaterial beams on elastic foundation
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Multimode topological interface states in a one-dimensional elastic-wave phononic crystal
inferred← citeshttps://doi.org/10.1016/j.physleta.2024.129571openalex-snapshot
Acoustic heterostructures designed by topology optimization for interface states
inferred← citeshttps://doi.org/10.1016/j.physleta.2025.131045openalex-snapshot
Topological states in one-dimensional phononic crystals
inferred← citeshttps://doi.org/10.1016/j.physleta.2026.131412openalex-snapshot
Robust control and application of geometric phase in four-wave mixing under wedge trajectory
inferred← citeshttps://doi.org/10.1016/j.physrep.2024.01.006openalex-snapshot
Non-Hermitian topological magnonics
inferred← citeshttps://doi.org/10.1016/j.revip.2019.100031openalex-snapshot
Active times for acoustic metamaterials
inferred← citeshttps://doi.org/10.1016/j.rinp.2021.103840openalex-snapshot
Manipulation of double acoustic defect states based on connection phase mismatching
inferred← citeshttps://doi.org/10.1016/j.rinp.2021.104082openalex-snapshot
Interface states in the rectangular lattice photonic crystals with identical dielectric rods
inferred← citeshttps://doi.org/10.1016/j.rinp.2022.105416openalex-snapshot
Topological waveguide states with adjustable width in elastic heterostructures with periodic semi-circular holes
inferred← citeshttps://doi.org/10.1016/j.rinp.2023.106232openalex-snapshot
Phase transition and dynamics of qubits in coupled-cavity arrays with nonlinear topological photonics
inferred← citeshttps://doi.org/10.1016/j.rinp.2023.106454openalex-snapshot
Tamm-plasmon-polariton biosensor based on one-dimensional topological photonic crystal
inferred← citeshttps://doi.org/10.1016/j.rinp.2023.107026openalex-snapshot
Quantum state transfer on 1-dimensional and 2-dimensional topological Heisenberg spin models
inferred← citeshttps://doi.org/10.1016/j.scib.2025.01.001openalex-snapshot
A new class of higher-order topological insulators that localize energy at arbitrary multiple sites
inferred← citeshttps://doi.org/10.1016/j.scib.2025.01.010openalex-snapshot
Singular topological edge states in locally resonant metamaterials
inferred← citeshttps://doi.org/10.1016/j.soildyn.2026.110485openalex-snapshot
Ultra-low frequency solid-liquid topological seismic metamaterial multi-band rainbow capture and robust transmission for water environment
inferred← citeshttps://doi.org/10.1016/j.tws.2025.114240openalex-snapshot
Topological interface state formation mechanism of zero Poisson’s ratio metamaterial and its application in vibration reduction
inferred← citeshttps://doi.org/10.1016/j.ultras.2018.09.006openalex-snapshot
Thermally tunable topological edge states for in-plane bulk waves in solid phononic crystals
inferred← citeshttps://doi.org/10.1016/j.ultras.2026.107975openalex-snapshot
Dirac cones and topological torsional modes in phononic nanowires using Su–Schrieffer–Heeger Model
inferred← citeshttps://doi.org/10.1016/j.ultras.2026.108320openalex-snapshot
Topological acoustics and geometric phase sensing for non-destructive localization and characterization of defects
inferred← citeshttps://doi.org/10.1016/j.ymssp.2020.107543openalex-snapshot
Experimental demonstration of valley-protected backscattering suppression and interlayer topological transport for elastic wave in three-dimensional phononic crystals
inferred← citeshttps://doi.org/10.1016/j.ymssp.2021.108388openalex-snapshot
Local resonator stimulated polarization transition in metamaterials and the formation of topological interface states
inferred← citeshttps://doi.org/10.1016/j.ymssp.2021.108598openalex-snapshot
Deep-subwavelength interface states in mechanical systems
inferred← citeshttps://doi.org/10.1016/j.ymssp.2023.110369openalex-snapshot
Topological interface states in deep-subwavelength phononic beams
inferred← citeshttps://doi.org/10.1016/j.ymssp.2024.111286openalex-snapshot
Magneto-mechanical-thermal coupling tunability of the topological interface state of longitudinal waves in magnetostrictive phononic crystal beams
inferred← citeshttps://doi.org/10.1016/j.ymssp.2025.112405openalex-snapshot
Phononic crystals with non-quantized Zak phases for controlling interface state frequencies
inferred← citeshttps://doi.org/10.1016/j.ymssp.2025.112859openalex-snapshot
Multi-field induced reconfigurable topological transport of elastic waves in magnetostrictive phononic crystals
inferred← citeshttps://doi.org/10.1016/j.ymssp.2025.112967openalex-snapshot
On the robustness of topological interface modes on rod phononic crystals
inferred← citeshttps://doi.org/10.1021/acs.chemrev.2c00800openalex-snapshot
Topological Metamaterials
inferred← citeshttps://doi.org/10.1021/acs.nanolett.0c04121openalex-snapshot
Dynamic Observation of Topological Soliton States in a Programmable Nanomechanical Lattice
inferred← citeshttps://doi.org/10.1021/acsphotonics.1c00017openalex-snapshot
Topological Transition Enabled by Surface Modification of Photonic Crystals
inferred← citeshttps://doi.org/10.1038/nature25156openalex-snapshot
Observation of a phononic quadrupole topological insulator
inferred← citeshttps://doi.org/10.1038/ncomms11744openalex-snapshot
Floquet topological insulators for sound
inferred← citeshttps://doi.org/10.1038/ncomms13038openalex-snapshot
Photonic crystals possessing multiple Weyl points and the experimental observation of robust surface states
inferred← citeshttps://doi.org/10.1038/ncomms13368openalex-snapshot
Experimental demonstration of anomalous Floquet topological insulator for sound
inferred← citeshttps://doi.org/10.1038/ncomms14587openalex-snapshot
Dynamical Majorana edge modes in a broad class of topological mechanical systems
inferred← citeshttps://doi.org/10.1038/ncomms15516openalex-snapshot
Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
inferred← citeshttps://doi.org/10.1038/ncomms9682openalex-snapshot
Topologically protected elastic waves in phononic metamaterials
inferred← citeshttps://doi.org/10.1038/nphoton.2016.253openalex-snapshot
Three-dimensional all-dielectric photonic topological insulator
inferred← citeshttps://doi.org/10.1038/nphys3273openalex-snapshot
Entering an acoustic phase
inferred← citeshttps://doi.org/10.1038/nphys3458openalex-snapshot
Synthetic gauge flux and Weyl points in acoustic systems
inferred← citeshttps://doi.org/10.1038/nphys3801openalex-snapshot
Topological mechanics
inferred← citeshttps://doi.org/10.1038/nphys3867openalex-snapshot
Acoustic topological insulator and robust one-way sound transport
inferred← citeshttps://doi.org/10.1038/s41467-018-05461-5openalex-snapshot
Elastic pseudospin transport for integratable topological phononic circuits
inferred← citeshttps://doi.org/10.1038/s41467-019-13333-9openalex-snapshot
Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals
inferred← citeshttps://doi.org/10.1038/s41467-019-13861-4openalex-snapshot
Symmetry-protected hierarchy of anomalous multipole topological band gaps in nonsymmorphic metacrystals
inferred← citeshttps://doi.org/10.1038/s41467-020-16131-wopenalex-snapshot
Acoustic analogues of three-dimensional topological insulators
inferred← citeshttps://doi.org/10.1038/s41467-020-16350-1openalex-snapshot
Observation of an acoustic octupole topological insulator
inferred← citeshttps://doi.org/10.1038/s41467-020-17593-8openalex-snapshot
Higher-order quantum spin Hall effect in a photonic crystal
inferred← citeshttps://doi.org/10.1038/s41467-022-34072-4openalex-snapshot
Synthetic Pseudo-Spin-Hall effect in acoustic metamaterials
inferred← citeshttps://doi.org/10.1038/s41467-023-36511-2openalex-snapshot
Ideal acoustic quantum spin Hall phase in a multi-topology platform
inferred← citeshttps://doi.org/10.1038/s41467-023-39117-wopenalex-snapshot
Observation of bulk quadrupole in topological heat transport
inferred← citeshttps://doi.org/10.1038/s41467-023-42449-2openalex-snapshot
Bulk-local-density-of-state correspondence in topological insulators
inferred← citeshttps://doi.org/10.1038/s41467-024-54511-8openalex-snapshot
Heavy-boundary mode patterning and dynamics of topological phonons in polymer chains and supramolecular lattices on surfaces
inferred← citeshttps://doi.org/10.1038/s41467-025-61121-5openalex-snapshot
Observation of cavity-tunable topological phases of polaritons
inferred← citeshttps://doi.org/10.1038/s41534-019-0159-6openalex-snapshot
Topological characterizations of an extended Su–Schrieffer–Heeger model
inferred← citeshttps://doi.org/10.1038/s41535-024-00637-3openalex-snapshot
One-dimensional topological phase and tunable soliton states in atomic nanolines on Si(001) surface
inferred← citeshttps://doi.org/10.1038/s41563-018-0251-xopenalex-snapshot
Acoustic higher-order topological insulator on a kagome lattice
inferred← citeshttps://doi.org/10.1038/s41563-018-0252-9openalex-snapshot
Observation of higher-order topological acoustic states protected by generalized chiral symmetry
inferred← citeshttps://doi.org/10.1038/s41565-021-01042-8openalex-snapshot
Creation and annihilation of mobile fractional solitons in atomic chains
inferred← citeshttps://doi.org/10.1038/s41566-019-0561-9openalex-snapshot
Higher-order topological states in photonic kagome crystals with long-range interactions
inferred← citeshttps://doi.org/10.1038/s41566-022-01107-7openalex-snapshot
Experimental observation of Berry phases in optical Möbius-strip microcavities
inferred← citeshttps://doi.org/10.1038/s41567-019-0446-3openalex-snapshot
Acoustic Landau quantization and quantum-Hall-like edge states
inferred← citeshttps://doi.org/10.1038/s41567-019-0472-1openalex-snapshot
Second-order topology and multidimensional topological transitions in sonic crystals
inferred← citeshttps://doi.org/10.1038/s41567-025-03074-6openalex-snapshot
Electrically tuning photonic topological quasiparticles in synthetic two-level system
inferred← citeshttps://doi.org/10.1038/s41578-020-0206-0openalex-snapshot
Nonreciprocity in acoustic and elastic materials
inferred← citeshttps://doi.org/10.1038/s41578-022-00465-6openalex-snapshot
Topological acoustics
inferred← citeshttps://doi.org/10.1038/s41598-017-07232-6openalex-snapshot
Modulating Sound with Acoustic Metafiber Bundles
inferred← citeshttps://doi.org/10.1038/s41598-017-15409-2openalex-snapshot
Acoustic frequency filter based on anisotropic topological phononic crystals
inferred← citeshttps://doi.org/10.1038/s41598-018-21462-2openalex-snapshot
Mapping the dispersion of water wave channels
inferred← citeshttps://doi.org/10.1038/s41598-018-24773-6openalex-snapshot
Tunable Transmission and Deterministic Interface states in Double-zero-index Acoustic Metamaterials
inferred← citeshttps://doi.org/10.1038/s41598-018-24952-5openalex-snapshot
Band transition and topological interface modes in 1D elastic phononic crystals
inferred← citeshttps://doi.org/10.1038/s41598-018-37724-yopenalex-snapshot
Acoustic extraordinary transmission manipulation based on proximity effects of heterojunctions
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