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 · Fri Sep 04 00:00:00 EDT 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
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); National Science Foundation (NSF); US Army Research Office (ARO)

Grant/Contract Number:: SC0001299; CMMI-1120724; CMMI-1149456; DMR-1420570; DMR-1419807; W911NF-13-D-0001

OSTI ID:: 1505735

Alternate ID(s):: OSTI ID: 1213965

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 506 works

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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
Transformable topological mechanical metamaterials Rocklin, D. Zeb; Zhou, Shangnan; Sun, Kai Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14201	journal	January 2017
Author Correction: Elastic pseudospin transport for integratable topological phononic circuits Yu, Si-Yuan; He, Cheng; Wang, Zhen Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-08589-0	journal	January 2019
“Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems Carta, G.; Jones, I. S.; Movchan, N. V. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-00054-6	journal	January 2017
Acoustic frequency filter based on anisotropic topological phononic crystals Chen, Ze-Guo; Zhao, Jiajun; Mei, Jun Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-15409-2	journal	November 2017
Contact Nonlinear Acoustic Diode Huang, Yao; Wang, Xiaoyu; Gong, Xun Scientific Reports, Vol. 10, Issue 1 https://doi.org/10.1038/s41598-020-59270-2	journal	February 2020
The effects of dissipation on topological mechanical systems Xiong, Ye; Wang, Tianxiang; Tong, Peiqing Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep32572	journal	September 2016
Edge Waves and Localization in Lattices Containing Tilted Resonators Tallarico, Domenico; Trevisan, Alessio; Movchan, Natalia V. Frontiers in Materials, Vol. 4 https://doi.org/10.3389/fmats.2017.00016	journal	June 2017
Manipulation of Dirac Cones in Mechanical Graphene Kariyado, Toshikaze; Hatsugai, Yasuhiro arXiv https://doi.org/10.48550/arxiv.1505.06679	text	January 2015
Topological magnetoplasmon Jin, Dafei; Lu, Ling; Wang, Zhong arXiv https://doi.org/10.48550/arxiv.1602.00553	text	January 2016