Topological Phononic Crystals with One-Way Elastic Edge Waves
Abstract
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.
- Authors:
-
- 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.
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Harvard Univ., Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); US Army Research Office (ARO)
- OSTI Identifier:
- 1505735
- Alternate Identifier(s):
- OSTI ID: 1213965
- Grant/Contract Number:
- SC0001299; CMMI-1120724; CMMI-1149456; DMR-1420570; DMR-1419807; W911NF-13-D-0001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 115; Journal Issue: 10; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE
Citation Formats
Wang, Pai, Lu, Ling, and Bertoldi, Katia. Topological Phononic Crystals with One-Way Elastic Edge Waves. United States: N. p., 2015.
Web. doi:10.1103/physrevlett.115.104302.
Wang, Pai, Lu, Ling, & Bertoldi, Katia. Topological Phononic Crystals with One-Way Elastic Edge Waves. United States. https://doi.org/10.1103/physrevlett.115.104302
Wang, Pai, Lu, Ling, and Bertoldi, Katia. Fri .
"Topological Phononic Crystals with One-Way Elastic Edge Waves". United States. https://doi.org/10.1103/physrevlett.115.104302. https://www.osti.gov/servlets/purl/1505735.
@article{osti_1505735,
title = {Topological Phononic Crystals with One-Way Elastic Edge Waves},
author = {Wang, Pai and Lu, Ling and Bertoldi, Katia},
abstractNote = {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.},
doi = {10.1103/physrevlett.115.104302},
journal = {Physical Review Letters},
number = 10,
volume = 115,
place = {United States},
year = {2015},
month = {9}
}
Web of Science
Figures / Tables:

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Su-Schrieffer-Heeger Model Inspired Acoustic Interface States and Edge States
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Tunable topological bandgaps and frequencies in a pre-stressed soft phononic crystal
text, January 2018
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Topological mechanics of gyroscopic metamaterials
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text, January 2015
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Floquet Topological Insulators for Sound
text, January 2015
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Topological boundary modes in jammed matter
text, January 2015
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- arXiv
Pseudo-time-reversal symmetry and topological edge states in two-dimensional acoustic crystals
text, January 2016
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Model for Topological Phononics and Phonon Diode
text, January 2016
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Sonic Landau-level lasing and synthetic gauge fields in mechanical metamaterials
text, January 2016
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Directional mechanical response in the bulk of topological metamaterials
text, January 2016
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Edge states of mechanical diamond and its topological origin
text, January 2016
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Chiral edge mode in the coupled dynamics of magnetic solitons in a honeycomb lattice
text, January 2017
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Topological edge floppy modes in disordered fiber networks
text, January 2017
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- arXiv
Subwavelength and directional control of flexural waves in zone-folding induced topological plates
text, January 2017
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Soft self-assembly of Weyl materials for light and sound
text, January 2017
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- arXiv
Topological nodal states in circuit lattice
text, January 2018
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- arXiv
Observation of nonreciprocal wave propagation in a dynamic phononic lattice
text, January 2018
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- arXiv
Valley-projected edge modes observed in underwater sonic crystals
text, January 2018
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- arXiv
Prethermalization and nonreciprocal phonon transport in a levitated optomechanical array
text, January 2018
- Liu, Shengyan; Yin, Zhang-qi; Li, Tongcang
- arXiv
Klein-Gordon representation of acoustic waves and topological origin of surface acoustic modes
text, January 2019
- Bliokh, Konstantin Y.; Nori, Franco
- arXiv
Mechanical analogue of a Majorana bound state
text, January 2019
- Chen, Chun-Wei; Lera, Natalia; Chaunsali, Rajesh
- arXiv
Simulation of topological phases with color center arrays in phononic crystals
text, January 2020
- Li, Xiao-Xiao; Li, Bo; Li, Peng-Bo
- arXiv
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