Topological Phononic Crystals with One-Way Elastic Edge Waves

Wang, Pai; Lu, Ling; Bertoldi, Katia

doi:10.1103/physrevlett.115.104302

Title: Topological Phononic Crystals with One-Way Elastic Edge Waves

Journal Article · 04 September 2015 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.115.104302 · OSTI ID:1505735

Wang, Pai ^[1]; Lu, Ling ^[2]; Bertoldi, Katia ^[3]

Harvard Univ., Cambridge, MA (United States). Harvard John A. Paulson School of Engineering and Applied Sciences; Harvard
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
Harvard Univ., Cambridge, MA (United States). Harvard John A. Paulson School of Engineering and Applied Sciences. Kavli Inst.

We report here a new type of phononic crystals with topologically nontrivial band gaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves. In our design, gyroscopic inertial effects are used to break the time-reversal symmetry and realize the phononic analogue of the electronic quantum (anomalous) Hall effect. We investigate the response of both hexagonal and square gyroscopic lattices and observe bulk Chern numbers of 1 and 2, indicating that these structures support single and multimode edge elastic waves immune to backscattering. These robust one-way phononic waveguides could potentially lead to the design of a novel class of surface wave devices that are widely used in electronics, telecommunication, and acoustic imaging.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF) (United States); Army Research Office (ARO) (United States)

Grant/Contract Number:: SC0001299

OSTI ID:: 1505735

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 10 Vol. 115; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Anharmonic interatomic force constants and thermal conductivity from Grüneisen parameters: An application to graphene Lee, Ching Hua; Gan, Chee Kwan Physical Review B, Vol. 96, Issue 3 https://doi.org/10.1103/physrevb.96.035105	journal	July 2017
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Subwavelength and directional control of flexural waves in zone-folding induced topological plates Chaunsali, Rajesh; Chen, Chun-Wei; Yang, Jinkyu Physical Review B, Vol. 97, Issue 5 https://doi.org/10.1103/physrevb.97.054307	journal	February 2018
Quasitopological rotational waves in mechanical granular graphene Zheng, Li-Yang; Theocharis, Georgios; Tournat, Vincent Physical Review B, Vol. 97, Issue 6 https://doi.org/10.1103/physrevb.97.060101	journal	February 2018
Simulating quantum spin Hall effect in the topological Lieb lattice of a linear circuit network Zhu, Weiwei; Hou, Shanshan; Long, Yang Physical Review B, Vol. 97, Issue 7 https://doi.org/10.1103/physrevb.97.075310	journal	February 2018
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Topological interface modes in local resonant acoustic systems Zhao, Degang; Xiao, Meng; Ling, C. W. Physical Review B, Vol. 98, Issue 1 https://doi.org/10.1103/physrevb.98.014110	journal	July 2018
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Weyl points of mechanical diamond Takahashi, Yuta; Kariyado, Toshikaze; Hatsugai, Yasuhiro Physical Review B, Vol. 99, Issue 2 https://doi.org/10.1103/physrevb.99.024102	journal	January 2019
Kink-antikink asymmetry and impurity interactions in topological mechanical chains Zhou, Yujie; Chen, Bryan Gin-ge; Upadhyaya, Nitin Physical Review E, Vol. 95, Issue 2 https://doi.org/10.1103/physreve.95.022202	journal	February 2017
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Valley Vortex States in Sonic Crystals Lu, Jiuyang; Qiu, Chunyin; Ke, Manzhu Physical Review Letters, Vol. 116, Issue 9 https://doi.org/10.1103/physrevlett.116.093901	journal	February 2016
Topological Mechanics of Origami and Kirigami Chen, Bryan Gin-ge; Liu, Bin; Evans, Arthur A. Physical Review Letters, Vol. 116, Issue 13 https://doi.org/10.1103/physrevlett.116.135501	journal	March 2016
Mechanical Weyl Modes in Topological Maxwell Lattices Rocklin, D. Zeb; Chen, Bryan Gin–ge; Falk, Martin Physical Review Letters, Vol. 116, Issue 13 https://doi.org/10.1103/physrevlett.116.135503	journal	April 2016
Non-Abelian Braiding of Light Iadecola, Thomas; Schuster, Thomas; Chamon, Claudio Physical Review Letters, Vol. 117, Issue 7 https://doi.org/10.1103/physrevlett.117.073901	journal	August 2016
Infrared Topological Plasmons in Graphene Jin, Dafei; Christensen, Thomas; Soljačić, Marin Physical Review Letters, Vol. 118, Issue 24 https://doi.org/10.1103/physrevlett.118.245301	journal	June 2017
Circular Phonon Dichroism in Weyl Semimetals Liu, Donghao; Shi, Junren Physical Review Letters, Vol. 119, Issue 7 https://doi.org/10.1103/physrevlett.119.075301	journal	August 2017
Chiral Edge Mode in the Coupled Dynamics of Magnetic Solitons in a Honeycomb Lattice Kim, Se Kwon; Tserkovnyak, Yaroslav Physical Review Letters, Vol. 119, Issue 7 https://doi.org/10.1103/physrevlett.119.077204	journal	August 2017
Sonic Landau Levels and Synthetic Gauge Fields in Mechanical Metamaterials Abbaszadeh, Hamed; Souslov, Anton; Paulose, Jayson Physical Review Letters, Vol. 119, Issue 19 https://doi.org/10.1103/physrevlett.119.195502	journal	November 2017
Pseudospins and Topological Effects of Phonons in a Kekulé Lattice Liu, Yizhou; Lian, Chao-Sheng; Li, Yang Physical Review Letters, Vol. 119, Issue 25 https://doi.org/10.1103/physrevlett.119.255901	journal	December 2017
Topological Edge Floppy Modes in Disordered Fiber Networks Zhou, Di; Zhang, Leyou; Mao, Xiaoming Physical Review Letters, Vol. 120, Issue 6 https://doi.org/10.1103/physrevlett.120.068003	journal	February 2018
Valley Topological Phases in Bilayer Sonic Crystals Lu, Jiuyang; Qiu, Chunyin; Deng, Weiyin Physical Review Letters, Vol. 120, Issue 11 https://doi.org/10.1103/physrevlett.120.116802	journal	March 2018
Valley Physics in Non-Hermitian Artificial Acoustic Boron Nitride Wang, Mudi; Ye, Liping; Christensen, J. Physical Review Letters, Vol. 120, Issue 24 https://doi.org/10.1103/physrevlett.120.246601	journal	June 2018
Observation of Double Weyl Phonons in Parity-Breaking FeSi Miao, H.; Zhang, T. T.; Wang, L. Physical Review Letters, Vol. 121, Issue 3 https://doi.org/10.1103/physrevlett.121.035302	journal	July 2018
Edge Modes and Asymmetric Wave Transport in Topological Lattices: Experimental Characterization at Finite Frequencies Ma, Jihong; Zhou, Di; Sun, Kai Physical Review Letters, Vol. 121, Issue 9 https://doi.org/10.1103/physrevlett.121.094301	journal	August 2018
Observation of Nonreciprocal Wave Propagation in a Dynamic Phononic Lattice Wang, Yifan; Yousefzadeh, Behrooz; Chen, Hui Physical Review Letters, Vol. 121, Issue 19 https://doi.org/10.1103/physrevlett.121.194301	journal	November 2018
Topological Fano Resonances Zangeneh-Nejad, Farzad; Fleury, Romain Physical Review Letters, Vol. 122, Issue 1 https://doi.org/10.1103/physrevlett.122.014301	journal	January 2019
Experimental Demonstration of Acoustic Chern Insulators Ding, Yujiang; Peng, Yugui; Zhu, Yifan Physical Review Letters, Vol. 122, Issue 1 https://doi.org/10.1103/physrevlett.122.014302	journal	January 2019
Topological Waves in Fluids with Odd Viscosity Souslov, Anton; Dasbiswas, Kinjal; Fruchart, Michel Physical Review Letters, Vol. 122, Issue 12 https://doi.org/10.1103/physrevlett.122.128001	journal	March 2019
Topological Insulators by Topology Optimization Christiansen, Rasmus E.; Wang, Fengwen; Sigmund, Ole Physical Review Letters, Vol. 122, Issue 23 https://doi.org/10.1103/physrevlett.122.234502	journal	June 2019
Edge States and Topological Pumping in Spatially Modulated Elastic Lattices Rosa, Matheus I. N.; Pal, Raj Kumar; Arruda, José R. F. Physical Review Letters, Vol. 123, Issue 3 https://doi.org/10.1103/physrevlett.123.034301	journal	July 2019
Klein-Gordon Representation of Acoustic Waves and Topological Origin of Surface Acoustic Modes Bliokh, Konstantin Y.; Nori, Franco Physical Review Letters, Vol. 123, Issue 5 https://doi.org/10.1103/physrevlett.123.054301	journal	August 2019
Gradient-Index Granular Crystals: From Boomerang Motion to Asymmetric Transmission of Waves Kim, Eunho; Chaunsali, Rajesh; Yang, Jinkyu Physical Review Letters, Vol. 123, Issue 21 https://doi.org/10.1103/physrevlett.123.214301	journal	November 2019
Phononic Helical Nodal Lines with PT Protection in MoB 2 Zhang, T. T.; Miao, H.; Wang, Q. Physical Review Letters, Vol. 123, Issue 24 https://doi.org/10.1103/physrevlett.123.245302	journal	December 2019
Inverse design of discrete mechanical metamaterials Ronellenfitsch, Henrik; Stoop, Norbert; Yu, Josephine Physical Review Materials, Vol. 3, Issue 9 https://doi.org/10.1103/physrevmaterials.3.095201	journal	September 2019
Simulation of topological phases with color center arrays in phononic crystals Li, Xiao-Xiao; Li, Bo; Li, Peng-Bo Physical Review Research, Vol. 2, Issue 1 https://doi.org/10.1103/physrevresearch.2.013121	journal	February 2020
Fragile topologically protected perfect reflection for acoustic waves Ji, Chang-Yin; Zhang, Yongyou; Liao, Yunhong Physical Review Research, Vol. 2, Issue 1 https://doi.org/10.1103/physrevresearch.2.013131	journal	February 2020
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Topological Boundary Floppy Modes in Quasicrystals Zhou, Di; Zhang, Leyou; Mao, Xiaoming Physical Review X, Vol. 9, Issue 2 https://doi.org/10.1103/physrevx.9.021054	journal	June 2019
Modulating Band Gap Structure by Parametric Excitations Yang, Xiao-Dong; Cui, Qing-Dian; Qian, Ying-Jing Journal of Applied Mechanics, Vol. 85, Issue 6 https://doi.org/10.1115/1.4039755	journal	April 2018
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Topological insulator laser: Theory Harari, Gal; Bandres, Miguel A.; Lumer, Yaakov Science, Vol. 359, Issue 6381 https://doi.org/10.1126/science.aar4003	journal	February 2018
Su-Schrieffer-Heeger Model Inspired Acoustic Interface States and Edge States Li, Xin; Meng, Yan; Wu, Xiaoxiao Unpublished https://doi.org/10.13140/rg.2.2.17556.35202	text	January 2018
Tunable topological bandgaps and frequencies in a pre-stressed soft phononic crystal Nguyen, B. H.; Park, H. S.; Zhuang, X. Unpublished https://doi.org/10.13140/rg.2.2.29307.77605	text	January 2018
Robust Edge States in Amorphous Gyromagnetic Photonic Lattices Mansha, Shampy; Chong, Y. D. CLEO: Applications and Technology, Conference on Lasers and Electro-Optics https://doi.org/10.1364/cleo_at.2017.jtu5a.41	conference	January 2017
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Doppler-Based Acoustic Gyrator Zangeneh-Nejad, Farzad; Fleury, Romain Applied Sciences, Vol. 8, Issue 7 https://doi.org/10.3390/app8071083	journal	July 2018
Three-Dimensional Topological States of Phonons with Tunable Pseudospin Physics Liu, Yizhou; Xu, Yong; Duan, Wenhui Research, Vol. 2019 https://doi.org/10.34133/2019/5173580	journal	July 2019
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Experimental Observation of Large Chern numbers in Photonic Crystals Skirlo, Scott A.; Lu, Ling; Yan, Qinghui arXiv https://doi.org/10.48550/arxiv.1504.04399	text	January 2015
Floquet Topological Insulators for Sound Fleury, Romain; Khanikaev, Alex; Alu, Andrea arXiv https://doi.org/10.48550/arxiv.1511.08427	text	January 2015
Topological boundary modes in jammed matter Sussman, Daniel M.; Stenull, Olaf; Lubensky, T. C. arXiv https://doi.org/10.48550/arxiv.1512.04480	text	January 2015
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Directional mechanical response in the bulk of topological metamaterials Rocklin, D. Zeb arXiv https://doi.org/10.48550/arxiv.1612.00084	text	January 2016
Edge states of mechanical diamond and its topological origin Takahashi, Yuta; Kariyado, Toshikaze; Hatsugai, Yasuhiro arXiv https://doi.org/10.48550/arxiv.1612.02614	text	January 2016
Chiral edge mode in the coupled dynamics of magnetic solitons in a honeycomb lattice Kim, Se Kwon; Tserkovnyak, Yaroslav arXiv https://doi.org/10.48550/arxiv.1706.04187	text	January 2017
Topological edge floppy modes in disordered fiber networks Zhou, Di; Zhang, Leyou; Mao, Xiaoming arXiv https://doi.org/10.48550/arxiv.1708.03935	text	January 2017
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Soft self-assembly of Weyl materials for light and sound Fruchart, Michel; Jeon, Seung-Yeol; Hur, Kahyun arXiv https://doi.org/10.48550/arxiv.1711.11019	text	January 2017
Topological nodal states in circuit lattice Luo, Kaifa; Yu, Rui; Weng, Hongming arXiv https://doi.org/10.48550/arxiv.1801.05581	text	January 2018
Observation of nonreciprocal wave propagation in a dynamic phononic lattice Wang, Yifan; Yousefzadeh, Behrooz; Chen, Hui arXiv https://doi.org/10.48550/arxiv.1803.11503	text	January 2018
Valley-projected edge modes observed in underwater sonic crystals Shen, Yuanyuan; Qiu, Chunyin; Cai, Xiangxi arXiv https://doi.org/10.48550/arxiv.1807.10887	text	January 2018
Prethermalization and nonreciprocal phonon transport in a levitated optomechanical array Liu, Shengyan; Yin, Zhang-qi; Li, Tongcang arXiv https://doi.org/10.48550/arxiv.1810.00163	text	January 2018
Klein-Gordon representation of acoustic waves and topological origin of surface acoustic modes Bliokh, Konstantin Y.; Nori, Franco arXiv https://doi.org/10.48550/arxiv.1902.03614	text	January 2019
Mechanical analogue of a Majorana bound state Chen, Chun-Wei; Lera, Natalia; Chaunsali, Rajesh arXiv https://doi.org/10.48550/arxiv.1905.03510	text	January 2019
Simulation of topological phases with color center arrays in phononic crystals Li, Xiao-Xiao; Li, Bo; Li, Peng-Bo arXiv https://doi.org/10.48550/arxiv.2001.01397	text	January 2020

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