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Title: 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:
 [1];  [2];  [3]
+ Show Author Affiliations
  1. Harvard Univ., Cambridge, MA (United States). Harvard John A. Paulson School of Engineering and Applied Sciences
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
  3. 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) (SC-22); 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.
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Wang, Pai, Lu, Ling, & Bertoldi, Katia. Topological Phononic Crystals with One-Way Elastic Edge Waves. United States. doi:10.1103/physrevlett.115.104302.
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Wang, Pai, Lu, Ling, and Bertoldi, Katia. Fri . "Topological Phononic Crystals with One-Way Elastic Edge Waves". United States. doi:10.1103/physrevlett.115.104302. https://www.osti.gov/servlets/purl/1505735.
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@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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Journal Article:
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DOI:  10.1103/physrevlett.115.104302
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Cited by: 104 works
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Figures / Tables:

FIG. 1 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 » primitive cell of the lattice. (b) Unit cell for the ordinary (nongyroscopic) phononic crystal. (c) Band structure of the ordinary (nongyroscopic) phononic crystal. The inset is the Brillouin zone. (d) Schematic of a gyroscope with the top tip pinned to a mass in the lattice. (e) Unit cell for the gyroscopic phononic crystal. (f) Band structure of the gyroscopic phononic crystal (α1 = α2 = 0.3m1) with the Chern numbers labeled on the bulk bands. The frequencies are normalized by ω0 = $\sqrt{k_{1}/m_{1}}$« less
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    Works referencing / citing this record:

    Dispersion and topological characteristics of permutative polyatomic phononic crystals
    journal, June 2019

    • Al Ba'ba'a, H.; Nouh, M.; Singh, T.
    • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, Issue 2226
    • DOI: 10.1098/rspa.2019.0022
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