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. doi: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. doi: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}
}
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FIG. 1: Ordinary and gyroscopic phononic crystals: (a) Schematic of the hexagonal lattice. The blue and grey spheres represent concentrated masses m1 and m2 = m1, respectively. The red and black straight rods represent massless linear springs with stiffness k1 and k2 = k1/20, respectively. The dashed cell is themore »
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Phononic Helical Nodal Lines with Protection in
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Inverse design of discrete mechanical metamaterials
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