Demonstration of a 3rd order hierarchy of topological states in a three-dimensional acoustic metamaterial (Conference Presentation)

2019 ◽  
Author(s):  
Matthew Weiner ◽  
Xiang Ni ◽  
Mengyao Li ◽  
Andrea Alu ◽  
Alexander Khanikaev
Keyword(s):  
Three Dimensional ◽  
Acoustic Metamaterial ◽  
Topological States

scholarly journals Demonstration of a third-order hierarchy of topological states in a three-dimensional acoustic metamaterial

2020 ◽  
Vol 6 (13) ◽  
pp. eaay4166 ◽  
Author(s):  
Matthew Weiner ◽  
Xiang Ni ◽  
Mengyao Li ◽  
Andrea Alù ◽  
Alexander B. Khanikaev
Keyword(s):  
Three Dimensional ◽  
Surface States ◽  
Three Dimensions ◽  
Dimensional System ◽  
Edge States ◽  
Third Order ◽  
Acoustic Metamaterial ◽  
Boundary States ◽  
Topological States ◽  
Quantum Phenomena

Classical wave systems have constituted an excellent platform for emulating complex quantum phenomena, such as demonstrating topological phenomena in photonics and acoustics. Recently, a new class of topological states localized in more than one dimension of a D-dimensional system, referred to as higher-order topological (HOT) states, has been reported, offering an even more versatile platform to confine and control classical radiation and mechanical motion. Here, we design and experimentally study a 3D topological acoustic metamaterial supporting third-order (0D) topological corner states along with second-order (1D) edge states and first-order (2D) surface states within the same topological bandgap, thus establishing a full hierarchy of nontrivial bulk polarization–induced states in three dimensions. The assembled 3D topological metamaterial represents the acoustic analog of a pyrochlore lattice made of interconnected molecules, and is shown to exhibit topological bulk polarization, leading to the emergence of boundary states.

Acoustic metamaterial behavior of three-dimensional periodic architectures assembled by robocasting

2014 ◽  
Vol 105 (21) ◽  
pp. 211904 ◽  
Author(s):  
Alena Kruisová ◽  
Hanuš Seiner ◽  
Petr Sedlák ◽  
Michal Landa ◽  
Benito Román-Manso ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Acoustic Metamaterial

Square-root-like higher-order topological states in three-dimensional sonic crystals

2021 ◽  
Author(s):  
Zhiguo Geng ◽  
Huanzhao Lv ◽  
Zhan Xiong ◽  
Yu-Gui Peng ◽  
Zhaojiang Chen ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Surface States ◽  
Higher Order ◽  
Square Root ◽  
Root Lattice ◽  
Third Order ◽  
Topological Materials ◽  
Topological States ◽  
Sonic Crystal ◽  
Sonic Crystals

Abstract The square-root descendants of higher-order topological insulators were proposed recently, whose topological property is inherited from the squared Hamiltonian. Here we present a three-dimensional (3D) square-root-like sonic crystal by stacking the 2D square-root lattice in the normal (z) direction. With the nontrivial intralayer couplings, the opened degeneracy at the K-H direction induces the emergence of multiple acoustic localized modes, i.e., the extended 2D surface states and 1D hinge states, which originate from the square-root nature of the system. The square-root-like higher order topological states can be tunable and designed by optionally removing the cavities at the boundaries. We further propose a third-order topological corner state in the 3D sonic crystal by introducing the staggered interlayer couplings on each square-root layer, which leads to a nontrivial bulk polarization in the z direction. Our work sheds light on the high-dimensional square-root topological materials, and have the potentials in designing advanced functional devices with sound trapping and acoustic sensing.

scholarly journals Three-Dimensional Topological States of Phonons with Tunable Pseudospin Physics

Research ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Yizhou Liu ◽  
Yong Xu ◽  
Wenhui Duan
Keyword(s):  
Degrees Of Freedom ◽  
Three Dimensional ◽  
Surface States ◽  
Phonon Transport ◽  
Efficient Control ◽  
Topological States ◽  
Topological Surface ◽  
Symmetry Protected ◽  
Energy Information ◽  
Crystalline Symmetry

Efficient control of phonons is crucial to energy-information technology, but limited by the lacking of tunable degrees of freedom like charge or spin. Here we suggest to utilize crystalline symmetry-protected pseudospins as new quantum degrees of freedom to manipulate phonons. Remarkably, we reveal a duality between phonon pseudospins and electron spins by presenting Kramers-like degeneracy and pseudospin counterparts of spin-orbit coupling, which lays the foundation for “pseudospin phononics”. Furthermore, we report two types of three-dimensional phononic topological insulators, which give topologically protected, gapless surface states with linear and quadratic band degeneracies, respectively. These topological surface states display unconventional phonon transport behaviors attributed to the unique pseudospin-momentum locking, which are useful for phononic circuits, transistors, antennas, etc. The emerging pseudospin physics offers new opportunities to develop future phononics.

scholarly journals Selective buckling via states of self-stress in topological metamaterials

2015 ◽  
Vol 112 (25) ◽  
pp. 7639-7644 ◽  
Author(s):  
Jayson Paulose ◽  
Anne S. Meeussen ◽  
Vincenzo Vitelli
Keyword(s):  
Three Dimensional ◽  
Salient Feature ◽  
Nonlinear Buckling ◽  
Topological Quantum ◽  
Wide Range ◽  
Topological States ◽  
Tunable Mechanical Properties ◽  
Rigid Joints ◽  
Constituent Elements ◽  
Localized Buckling

States of self-stress—tensions and compressions of structural elements that result in zero net forces—play an important role in determining the load-bearing ability of structures ranging from bridges to metamaterials with tunable mechanical properties. We exploit a class of recently introduced states of self-stress analogous to topological quantum states to sculpt localized buckling regions in the interior of periodic cellular metamaterials. Although the topological states of self-stress arise in the linear response of an idealized mechanical frame of harmonic springs connected by freely hinged joints, they leave a distinct signature in the nonlinear buckling behavior of a cellular material built out of elastic beams with rigid joints. The salient feature of these localized buckling regions is that they are indistinguishable from their surroundings as far as material parameters or connectivity of their constituent elements are concerned. Furthermore, they are robust against a wide range of structural perturbations. We demonstrate the effectiveness of this topological design through analytical and numerical calculations as well as buckling experiments performed on two- and three-dimensional metamaterials built out of stacked kagome lattices.

Design and characterization of tunable three-dimensional acoustic composite metamaterials

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Guochang Lin ◽  
Chaonan Hu ◽  
Lin Cong ◽  
Yongtao Yao
Keyword(s):  
Elastic Modulus ◽  
Structural Material ◽  
Cell Structure ◽  
Three Dimensional ◽  
Sound Insulation ◽  
Acoustic Metamaterials ◽  
Content Type ◽  
Acoustic Metamaterial ◽  
Material Parameters ◽  
Initial Frequency

Purpose The purpose of this paper is to developing a kind of acoustic metamaterial with wide frequency band especially in low frequency region. At the same time, its the tunability of sound insulation frequency is achieved. Design/methodology/approach A three-dimensional (3D) acoustic metamaterial consisting of rigid frame, spherical attachment and thin film is proposed. The material parameters and the effect of the attachment hole on the forbidden band are investigated by finite element simulation. The sound insulation effect of the structure is validated by the combination of simulation and experiment. Findings The results show that the elastic modulus of the structural material determines the initial frequency of the forbidden band of the proposed 3D acoustic metamaterials. The lower the elastic modulus of the structural material, the lower the initial frequency of the forbidden band. The material parameters of the frame mainly affect the initial frequency of the first forbidden band, and the material parameters of the attachment will affect both the initial and termination frequency of the first forbidden band. Holes in the attachments reduce the band gap width. The characteristic curve moves down with the increase of subtracted mass. Research limitations/implications The findings may greatly benefit the application of the acoustic metamaterials in the fields of sound insulation and noise reduction. Originality/value This acoustic metamaterial structure has excellent sound insulation performance. At the same time, the single cell structure can be assembled into any shape. The structure can achieve sound selective filtering and combination control.

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