Topological Sound

Abstract

Recently, we witnessed a tremendous effort to conquer the realm of acoustics as a possible playground to test with sound waves topologically protected wave propagation. Acoustics differ substantially from photonic and electronic systems since longitudinal sound waves lack intrinsic spin polarization and breaking the time-reversal symmetry requires additional complexities that both are essential in mimicking the quantum effects leading to topologically robust sound propagation. In this article, we review the latest efforts to explore with sound waves topological states of quantum matter in two- and three-dimensional systems where we discuss how spin and valley degrees of freedom appear as highly novel ingredients to tailor the flow of sound in the form of one-way edge modes and defect-immune protected acoustic waves. Both from a theoretical stand point and based on contemporary experimental verifications, we summarize the latest advancements of the flourishing research frontier on topological sound.

arXiv comment33 pages, 8 figures

References in corpus (86)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Weyl Semimetal in a Topological Insulator Multilayer
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Valley filter and valley valve in graphene
• Topological nodal semimetals
• Scheme to Achieve Silicon Topological Photonics
• Robust optical delay lines via topological protection
• Topological Acoustics
• Acoustic topological insulator and robust one-way sound transport
• Valley Dependent Optoelectronics from Inversion Symmetry Breaking
• Experimental observation of Weyl points
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Observation of a phononic quadrupole topological insulator
• Observation of topological valley transport of sound in sonic crystals
• Topological Phononic Crystals with One-Way Elastic Edge Waves
• Topological mechanics of gyroscopic metamaterials
• Topologically protected elastic waves in phononic metamaterials
• Topological nodal line semimetals
• Detecting Topological Currents in Graphene Superlattices
• All-Si Valley-Hall Photonic Topological Insulator
• Topological Semimetals
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Weyl points and line nodes in gapless gyroid photonic crystals
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Topologically-protected refraction of robust kink states in valley photonic crystals
• Topological confinement in bilayer graphene
• Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems
• Topologically protected acoustic helical edge states and interface states in strongly coupled metamaterial ring lattices
• Topological negative refraction of surface acoustic waves in a Weyl phononic crystal
• Direct Observation of Valley-polarized Topological Edge States in Designer Surface Plasmon Crystals
• Valley Vortex States in Sonic Crystals
• Observation of Photonic Topological Valley-Hall Edge States
• Valley Chern Numbers and Boundary Modes in Gapped Bilayer Graphene
• Synthetic gauge fields and Weyl point in Time-Reversal Invariant Acoustic Systems
• Valley-contrasting orbital angular momentum in photonic valley crystals
• Valley-protected backscattering suppression in silicon photonic graphene
• Topological Nature of the Phonon Hall Effect
• Double-Weyl phonons in transition-metal monosilicides
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
• Observation of topological valley modes in an elastic hexagonal lattice
• Valley Topological Phases in Bilayer Sonic Crystals
• Domain walls in gapped graphene
• Gate-controlled topological conducting channels in bilayer graphene
• Tunable topological phononic crystals
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Electronic Highways in Bilayer Graphene
• Subwavelength and directional control of flexural waves in zone-folding induced topological plates
• Model for Topological Phononics and Phonon Diode
• Acoustic type-II Weyl nodes from stacking dimerized chains
• Extremal transmission and beating effect of acoustic wave in two-dimensional sonic crystal
• Zone folding induced topological insulators in phononic crystals
• Dirac-like plasmons in honeycomb lattices of metallic nanoparticles
• Pseudomagnetic fields for sound at the nanoscale
• Pseudo-time-reversal symmetry and topological edge states in two-dimensional acoustic crystals
• 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
• Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
• Topological Kirchhoff Law and Bulk-Edge Correspondence for Valley-Chern and Spin-Valley-Chern Numbers
• Helical edge states and topological phase transitions in phononic systems using bi-layered lattices
• Topological Sound and Flocking on Curved Surfaces
• Experimental Realization of a Reflections-Free Compact Delay Line Based on a Photonic Topological Insulator
• Experimental Observation of Acoustic Weyl Points and Topological Surface States
• Observation of topological edge states of sound at a momentum away from the high-symmetry point
• Soft self-assembly of Weyl materials for light and sound
• Acoustic Dirac degeneracy and topological phase transitions realized by rotating scatterers
• How to detect the pseudospin-1/2 Berry phase in a photonic crystal with a Dirac spectrum
• Circular phonon dichroism in Weyl semimetals
• Multiple Weyl and Double-Weyl Points in an Elastic Chiral Lattice
• Spin-orbit coupling in a hexagonal ring of pendula
• Topological valleytronics: Brought to light
• Topological Flat Band and Parity-Time Symmetry in a Honeycomb Lattice of Coupled Resonant Optical Waveguides
• Topologically Charged Nodal Surface
• A Monolithic Topologically Protected Phononic Circuit
• Acoustic semimetal with Weyl points and surface states
• Acoustic frequency filter based on anisotropic topological phononic crystals

Cited by in corpus (79)

• Topological acoustics
• Topological active matter
• Acoustic realization of quadrupole topological insulators
• Higher-Order Weyl Semimetals
• Demonstration of a quantized acoustic octupole topological insulator
• Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals
• Photonic Floquet topological insulators in a fractal lattice
• Topological insulators and semimetals in classical magnetic systems
• Electromagnetic-dual metasurfaces for topological states along a one-dimensional interface
• Higher-order topological phases in tunable $C_3$-symmetric photonic crystals
• Majorana-like zero modes in Kekulé distorted sonic lattices
• Landau-Zener Transition in Topological Acoustic Pumping
• Acoustic Möbius insulators from projective symmetry
• Lasing from complete set of topological states in two dimensional photonic crystal structure
• Thermal transport, geometry, and anomalies
• On-chip higher-order topological micromechanical metamaterials
• Four-Dimensional Higher-Order Chern Insulator and Its Acoustic Realization
• Mode-Locked Topological Insulator Laser Utilizing Synthetic Dimensions
• Observation of degenerate zero-energy topological states at disclinations in an acoustic lattice
• Anomalous topological edge states in non-Hermitian piezophononic media
• Quantized classical response from spectral winding topology
• Acoustic Su-Schrieffer-Heeger lattice: Direct mapping of acoustic waveguides to Su-Schrieffer-Heeger model
• Flat bands in magic-angle vibrating plates
• Nanomechanical topological insulators with an auxiliary orbital degree of freedom
• Topologically protected edge modes in one-dimensional chains of subwavelength resonators
• Topological Phases in Magnonics
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• Observation of Dirac hierarchy in three-dimensional acoustic topological insulators
• Observation of cnoidal wave localization in non-linear topolectric circuits
• Robustness of topological corner modes against disorder and application to acoustic networks
• Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry
• Trapped state at a dislocation in a weak magnetomechanical topological insulator
• Topology of Triple-Point Metals
• Second-order topological insulator in breathing square lattice of magnetic vortices
• Liquid-crystal-based topological photonics
• Observation of Large-Number Corner Modes in $\mathbb{Z}$-class Higher-Order Topolectrical Circuits
• Observation of topological gravity-capillary waves in a water wave crystal
• Topological waves guided by a glide-reflection symmetric crystal interface
• Zero-index Weyl metamaterials
• Elastic Weyl points and surface arc states in 3D structures
• Space-Time Phononic Crystals with Anomalous Topological Edge States
• Synthetic Kramers pair in phononic elastic plates and helical edge states on a dislocation interface
• Existence of Corner Modes in Elastic Twisted Kagome Lattices
• Chiral sound waves in strained Weyl semimetals
• Chiral Maxwell waves in continuous media from Berry monopoles
• Absence of topological protection of the interface states in ${\mathbb{Z}}_2$ photonic crystals
• Customizing pseudospin unidirectional states of acoustic and electromagnetic waves in two-dimensional phoxonic topological insulators via multi-objective strategies
• Geometry and Topology Tango in Ordered and Amorphous Chiral Matter
• Valley Hall edge solitons in a photonic graphene
• Light-matter interactions near photonic Weyl points
• Weyl points and topological surface states in a three-dimensional elastic lattice
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Observation of squeezed Chern insulator in an acoustic fractal lattice
• Dynamical Detection of Topological Spectral Density
• Subwavelength Su-Schrieffer-Heeger topological modes in acoustic waveguides
• Monopole topological resonators
• Relaying Topological Interface States for Negative Refraction of Bulk Waves
• Asymptotically exact photonic analogues of chiral symmetric topological tight-binding models
• From the geometry of Foucault pendulum to the topology of planetary waves
• Selectable diffusion direction with topologically protected edge modes
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Floquet topological insulators with hybrid edges
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Experimental probe of band structures of bilayer valley photonic crystals
• Electrically-tunable graphene nanomechanical resonators
• High-resolution acoustic field mapping of GHz phononic crystals with atomic force microscopy
• Energy polarization and energy pumping in Rice-Mele chains
• Topological Surface-plasmon-polaritons on Corrugated Metal-dielectric Surfaces
• Topological modes in relativistic hydrodynamics
• Metamaterials and Fluid Flows
• Phonon topology and winding of spectral weight in graphite
• Designing topological acoustic lattices via electroacoustic analogies
• Scattering of a Dirac particle by a Berry phase domain wall
• More on Topological Hydrodynamic Modes
• Type-II Weyl Excitation in Vortex Arrays
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Quantum geometric scattering of a Dirac particle by a Berry curvature domain wall
• Surface density-of-states on semi-infinite topological photonic and acoustic crystals