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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]
  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); 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}
}

Journal Article:
Free Publicly Available Full Text
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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 referenced in this record:

Wave beaming effects in two-dimensional cellular structures
journal, April 2003

  • Ruzzene, Massimo; Scarpa, Fabrizio; Soranna, Francesco
  • Smart Materials and Structures, Vol. 12, Issue 3
  • DOI: 10.1088/0964-1726/12/3/307

Topological insulators and superconductors
journal, October 2011


Waveguiding in two-dimensional piezoelectric phononic crystal plates
journal, June 2007

  • Vasseur, J. O.; Hladky-Hennion, A. -C.; Djafari-Rouhani, B.
  • Journal of Applied Physics, Vol. 101, Issue 11
  • DOI: 10.1063/1.2740352

Elastic analog of graphene: Dirac cones and edge states for flexural waves in thin plates
journal, March 2013


Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook
journal, May 2014

  • Hussein, Mahmoud I.; Leamy, Michael J.; Ruzzene, Massimo
  • Applied Mechanics Reviews, Vol. 66, Issue 4
  • DOI: 10.1115/1.4026911

On modifications of Newton's second law and linear continuum elastodynamics
journal, November 2006

  • Milton, Graeme W.; Willis, John R.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 463, Issue 2079
  • DOI: 10.1098/rspa.2006.1795

Observation of phononic helical edge states in a mechanical topological insulator
journal, July 2015


Vortex-type elastic structured media and dynamic shielding
journal, May 2012

  • Brun, M.; Jones, I. S.; Movchan, A. B.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 468, Issue 2146
  • DOI: 10.1098/rspa.2012.0165

Surface phonons, elastic response, and conformal invariance in twisted kagome lattices
journal, June 2012

  • Sun, K.; Souslov, A.; Mao, X.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 31
  • DOI: 10.1073/pnas.1119941109

Dispersion properties of vortex-type monatomic lattices
journal, June 2014


Frequency Modulation in the Transmittivity of Wave Guides in Elastic-Wave Band-Gap Materials
journal, November 2000


Dirac cones at k→=0 in acoustic crystals and zero refractive index acoustic materials
journal, February 2012

  • Liu, Fengming; Huang, Xueqin; Chan, C. T.
  • Applied Physics Letters, Vol. 100, Issue 7
  • DOI: 10.1063/1.3686907

Acoustic band structure of periodic elastic composites
journal, September 1993


Sound Isolation and Giant Linear Nonreciprocity in a Compact Acoustic Circulator
journal, January 2014


Elastic metamaterials with inertial locally resonant structures: Application to lensing and localization
journal, May 2013


Effective theory of quadratic degeneracies
journal, June 2008


Topological photonics
journal, October 2014


Topological Acoustics
journal, March 2015


Narrow Low-Frequency Spectrum and Heat Management by Thermocrystals
journal, January 2013


Collimation of sound assisted by acoustic surface waves
journal, October 2007

  • Christensen, J.; Fernandez-Dominguez, A. I.; de Leon-Perez, F.
  • Nature Physics, Vol. 3, Issue 12
  • DOI: 10.1038/nphys774

Geometric phase and band inversion in periodic acoustic systems
journal, February 2015

  • Xiao, Meng; Ma, Guancong; Yang, Zhiyu
  • Nature Physics, Vol. 11, Issue 3
  • DOI: 10.1038/nphys3228

Topologically protected one-way edge mode in networks of acoustic resonators with circulating air flow
journal, May 2015


Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
journal, January 2008


Acoustic Analogue of Graphene: Observation of Dirac Cones in Acoustic Surface Waves
journal, April 2012


Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
journal, January 2008


Experimental demonstration of an acoustic magnifying hyperlens
journal, October 2009

  • Li, Jensen; Fok, Lee; Yin, Xiaobo
  • Nature Materials, Vol. 8, Issue 12
  • DOI: 10.1038/nmat2561

Topological modes bound to dislocations in mechanical metamaterials
journal, January 2015

  • Paulose, Jayson; Chen, Bryan Gin-ge; Vitelli, Vincenzo
  • Nature Physics, Vol. 11, Issue 2
  • DOI: 10.1038/nphys3185

First-principles study of Dirac and Dirac-like cones in phononic and photonic crystals
journal, July 2012


Double Dirac cones in phononic crystals
journal, July 2014

  • Li, Yan; Wu, Ying; Mei, Jun
  • Applied Physics Letters, Vol. 105, Issue 1
  • DOI: 10.1063/1.4890304

Experiments on Seismic Metamaterials: Molding Surface Waves
journal, March 2014


The quantized Hall effect
journal, July 1986


Dark acoustic metamaterials as super absorbers for low-frequency sound
journal, January 2012

  • Mei, Jun; Ma, Guancong; Yang, Min
  • Nature Communications, Vol. 3, Issue 1
  • DOI: 10.1038/ncomms1758

Band structure of elastic waves in two dimensional systems
journal, April 1993


Colloquium: Topological insulators
journal, November 2010


Coriolis force induced topological order for classical mechanical vibrations
journal, July 2015


Topological Phonon Modes and Their Role in Dynamic Instability of Microtubules
journal, December 2009


Multimode One-Way Waveguides of Large Chern Numbers
journal, September 2014


Hybrid elastic solids
journal, June 2011

  • Lai, Yun; Wu, Ying; Sheng, Ping
  • Nature Materials, Vol. 10, Issue 8
  • DOI: 10.1038/nmat3043

Tunable filtering and demultiplexing in phononic crystals with hollow cylinders
journal, April 2004


Harnessing Buckling to Design Tunable Locally Resonant Acoustic Metamaterials
journal, July 2014


Sonic Band Gaps in Finite Elastic Media: Surface States and Localization Phenomena in Linear and Point Defects
journal, April 1999

  • Torres, M.; Montero de Espinosa, F. R.; García-Pablos, D.
  • Physical Review Letters, Vol. 82, Issue 15
  • DOI: 10.1103/PhysRevLett.82.3054

Locally Resonant Sonic Materials
journal, September 2000


Ultrasonic metamaterials with negative modulus
journal, April 2006

  • Fang, Nicholas; Xi, Dongjuan; Xu, Jianyi
  • Nature Materials, Vol. 5, Issue 6
  • DOI: 10.1038/nmat1644

Wave propagation in two-dimensional periodic lattices
journal, April 2006

  • Phani, A. Srikantha; Woodhouse, J.; Fleck, N. A.
  • The Journal of the Acoustical Society of America, Vol. 119, Issue 4
  • DOI: 10.1121/1.2179748

Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988


Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
journal, June 2005

  • Fukui, Takahiro; Hatsugai, Yasuhiro; Suzuki, Hiroshi
  • Journal of the Physical Society of Japan, Vol. 74, Issue 6
  • DOI: 10.1143/JPSJ.74.1674

Topological boundary modes in isostatic lattices
journal, December 2013

  • Kane, C. L.; Lubensky, T. C.
  • Nature Physics, Vol. 10, Issue 1
  • DOI: 10.1038/nphys2835

Topological Nature of the Phonon Hall Effect
journal, November 2010


Interaction of a Contact Resonance of Microspheres with Surface Acoustic Waves
journal, July 2013


Observation of unidirectional backscattering-immune topological electromagnetic states
journal, October 2009

  • Wang, Zheng; Chong, Yidong; Joannopoulos, J. D.
  • Nature, Vol. 461, Issue 7265
  • DOI: 10.1038/nature08293

Nonlinear conduction via solitons in a topological mechanical insulator
journal, August 2014

  • Chen, B. G. -g.; Upadhyaya, N.; Vitelli, V.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 36
  • DOI: 10.1073/pnas.1405969111

Acoustic imaging and collimating by slabs of sonic crystalsmade from arrays of rigid cylinders in air
journal, August 2004

  • Chen, Liang-Shan; Kuo, Chao-Hsien; Ye, Zhen
  • Applied Physics Letters, Vol. 85, Issue 6
  • DOI: 10.1063/1.1781351

Metamaterial with Simultaneously Negative Bulk Modulus and Mass Density
journal, August 2007


Nanophononic Metamaterial: Thermal Conductivity Reduction by Local Resonance
journal, February 2014


Dirac cones induced by accidental degeneracy in photonic crystals and zero-refractive-index materials
journal, May 2011

  • Huang, Xueqin; Lai, Yun; Hang, Zhi Hong
  • Nature Materials, Vol. 10, Issue 8, p. 582-586
  • DOI: 10.1038/nmat3030

The quantized hall effect
journal, November 1984


Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
text, January 2007


Vortex-type elastic structured media and dynamic shielding
text, January 2012


Interaction of a Contact Resonance of Microspheres with Surface Acoustic Waves
text, January 2013


Topological Boundary Modes in Isostatic Lattices
text, January 2013


Works referencing / citing this record:

Topological Phononics: From Fundamental Models to Real Materials
journal, August 2019

  • Liu, Yizhou; Chen, Xiaobin; Xu, Yong
  • Advanced Functional Materials, Vol. 30, Issue 8
  • DOI: 10.1002/adfm.201904784

Unusual one-way edge state in acoustic gyroscopic continuum
journal, September 2018


Flexible mechanical metamaterials
journal, October 2017

  • Bertoldi, Katia; Vitelli, Vincenzo; Christensen, Johan
  • Nature Reviews Materials, Vol. 2, Issue 11
  • DOI: 10.1038/natrevmats.2017.66

Topological magnetoplasmon
journal, November 2016

  • Jin, Dafei; Lu, Ling; Wang, Zhong
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms13486

Topologically protected elastic waves in phononic metamaterials
journal, November 2015

  • Mousavi, S. Hossein; Khanikaev, Alexander B.; Wang, Zheng
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9682

Three-dimensional all-dielectric photonic topological insulator
journal, December 2016


Observation of elastic topological states in soft materials
journal, April 2018


Metamaterials with amplitude gaps for elastic solitons
journal, August 2018


Topological analog signal processing
journal, May 2019


Amorphous topological insulators constructed from random point sets
journal, January 2018


Simultaneous multi-band valley-protected topological edge states of shear vertical wave in two-dimensional phononic crystals with veins
journal, September 2017


Band transition and topological interface modes in 1D elastic phononic crystals
journal, May 2018


Experimental demonstration of coherent superpositions in an ultrasonic pseudospin
journal, October 2019


Manipulation of Dirac Cones in Mechanical Graphene
journal, December 2015

  • Kariyado, Toshikaze; Hatsugai, Yasuhiro
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep18107

Pseudo-time-reversal symmetry and topological edge states in two-dimensional acoustic crystals
journal, September 2016

  • Mei, Jun; Chen, Zeguo; Wu, Ying
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep32752

Topologically protected interface phonons in two-dimensional nanomaterials: hexagonal boron nitride and silicon carbide
journal, January 2018

  • Jiang, Jin-Wu; Wang, Bing-Shen; Park, Harold S.
  • Nanoscale, Vol. 10, Issue 29
  • DOI: 10.1039/c8nr04314k

Perspective: Acoustic metamaterials in transition
journal, March 2018

  • Wu, Ying; Yang, Min; Sheng, Ping
  • Journal of Applied Physics, Vol. 123, Issue 9
  • DOI: 10.1063/1.5007682

Valley-projected edge modes observed in underwater sonic crystals
journal, January 2019

  • Shen, Yuanyuan; Qiu, Chunyin; Cai, Xiangxi
  • Applied Physics Letters, Vol. 114, Issue 2
  • DOI: 10.1063/1.5049856

Su-Schrieffer-Heeger model inspired acoustic interface states and edge states
journal, November 2018

  • Li, Xin; Meng, Yan; Wu, Xiaoxiao
  • Applied Physics Letters, Vol. 113, Issue 20
  • DOI: 10.1063/1.5051523

Prestress tuning of negative refraction and wave channeling from flexural sources
journal, January 2019

  • Bordiga, G.; Cabras, L.; Piccolroaz, A.
  • Applied Physics Letters, Vol. 114, Issue 4
  • DOI: 10.1063/1.5084258

Broadband modulation of subwavelength topological interface states in a one-dimensional acoustic system
journal, January 2020

  • Wang, Zhenyu; Zhao, Degang; Luo, Jinlong
  • Applied Physics Letters, Vol. 116, Issue 1
  • DOI: 10.1063/1.5135948

Classification of topological phonons in linear mechanical metamaterials
journal, August 2016

  • Süsstrunk, Roman; Huber, Sebastian D.
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 33
  • DOI: 10.1073/pnas.1605462113

Pseudomagnetic fields for sound at the nanoscale
journal, April 2017

  • Brendel, Christian; Peano, Vittorio; Painter, Oskar J.
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 17
  • DOI: 10.1073/pnas.1615503114

Intrinsic spin of elastic waves
journal, September 2018

  • Long, Yang; Ren, Jie; Chen, Hong
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 40
  • DOI: 10.1073/pnas.1808534115

Elastic phononic plates with first-order and second-order topological phases
journal, January 2020

  • Tong, Liang; Fan, Haiyan; Xia, Baizhan
  • Journal of Physics D: Applied Physics, Vol. 53, Issue 11
  • DOI: 10.1088/1361-6463/ab6055

Topologically protected edge transport of sound in coupled cavities of a modified honeycomb lattice
journal, July 2018

  • Geng, Zhi-Guo; Peng, Yu-Gui; Shen, Ya-Xi
  • Journal of Physics: Condensed Matter, Vol. 30, Issue 34
  • DOI: 10.1088/1361-648x/aad398

Topological phase transition with p orbitals in the exciton-polariton honeycomb lattice
journal, June 2019

  • Zhang, Chuanyi; Wang, Yuanxu; Zhang, Weifeng
  • Journal of Physics: Condensed Matter, Vol. 31, Issue 33
  • DOI: 10.1088/1361-648x/ab2289

Two-dimensionally confined topological edge states in photonic crystals
journal, November 2016


Edge waves in plates with resonators: an elastic analogue of the quantum valley Hall effect
journal, February 2017


Edge states of mechanical diamond and its topological origin
journal, March 2017

  • Takahashi, Yuta; Kariyado, Toshikaze; Hatsugai, Yasuhiro
  • New Journal of Physics, Vol. 19, Issue 3
  • DOI: 10.1088/1367-2630/aa5edb

Topological acoustic polaritons: robust sound manipulation at the subwavelength scale
journal, July 2017


Nonreciprocal wave propagation and parametric amplification of bulk elastic waves in nonlinear anisotropic materials
journal, February 2020

  • Zakeri, Mahsa; Keller, Scott M.; Wang, Yuanxun Ethan
  • New Journal of Physics, Vol. 22, Issue 2
  • DOI: 10.1088/1367-2630/ab61d9

Acoustic topological devices based on emulating and multiplexing of pseudospin and valley indices
journal, January 2020


Topology of triple-point metals
journal, July 2019


Magnonic analogs of topological Dirac semimetals
journal, September 2017


Gyro-elastic beams for the vibration reduction of long flexural systems
journal, July 2017

  • Carta, G.; Jones, I. S.; Movchan, N. V.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 473, Issue 2203
  • DOI: 10.1098/rspa.2017.0136

Wave polarization and dynamic degeneracy in a chiral elastic lattice
journal, December 2019

  • Carta, G.; Jones, I. S.; Movchan, N. V.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, Issue 2232
  • DOI: 10.1098/rspa.2019.0313

One-way interfacial waves in a flexural plate with chiral double resonators
journal, November 2019

  • Carta, G.; Colquitt, D. J.; Movchan, A. B.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2162
  • DOI: 10.1098/rsta.2019.0350

Experimental Evidence of Robust Acoustic Valley Hall Edge States in a Nonresonant Topological Elastic Waveguide
journal, January 2019


Observation of Edge Waves in a Two-Dimensional Su-Schrieffer-Heeger Acoustic Network
journal, September 2019


Collective Resonances of a Chain of Coupled Phononic Microresonators
journal, January 2020


Tunable Topological Phononic Crystals
journal, May 2016


Sonic valley-Chern insulators
journal, January 2020


Phononic Weyl nodal straight lines in MgB 2
journal, January 2020


Unidirectional transport in electronic and photonic Weyl materials by Dirac mass engineering
journal, December 2015


Transport and localization in a topological phononic lattice with correlated disorder
journal, October 2016


Model for topological phononics and phonon diode
journal, August 2017


Line nodes, Dirac points, and Lifshitz transition in two-dimensional nonsymmorphic photonic crystals
journal, August 2017


Topological phononic insulator with robust pseudospin-dependent transport
journal, September 2017


Experimental verification of acoustic pseudospin multipoles in a symmetry-broken snowflakelike topological insulator
journal, December 2017


Coexistent three-component and two-component Weyl phonons in TiS, ZrSe, and HfTe
journal, February 2018


Subwavelength and directional control of flexural waves in zone-folding induced topological plates
journal, February 2018


Realization of a topological phase transition in a gyroscopic lattice
journal, March 2018


Weyl points of mechanical diamond
journal, January 2019


Disorder and Metal-Insulator Transitions in Weyl Semimetals
journal, December 2015


Experimental Observation of Large Chern Numbers in Photonic Crystals
journal, December 2015


Valley Vortex States in Sonic Crystals
journal, February 2016


Non-Abelian Braiding of Light
journal, August 2016


Circular Phonon Dichroism in Weyl Semimetals
journal, August 2017


Sonic Landau Levels and Synthetic Gauge Fields in Mechanical Metamaterials
journal, November 2017


Pseudospins and Topological Effects of Phonons in a Kekulé Lattice
journal, December 2017


Edge Modes and Asymmetric Wave Transport in Topological Lattices: Experimental Characterization at Finite Frequencies
journal, August 2018


Experimental Demonstration of Acoustic Chern Insulators
journal, January 2019


Klein-Gordon Representation of Acoustic Waves and Topological Origin of Surface Acoustic Modes
journal, August 2019


Gradient-Index Granular Crystals: From Boomerang Motion to Asymmetric Transmission of Waves
journal, November 2019


Phononic Helical Nodal Lines with PT Protection in MoB 2
journal, December 2019


Inverse design of discrete mechanical metamaterials
journal, September 2019


Fragile topologically protected perfect reflection for acoustic waves
journal, February 2020


Experimental Observation of Topologically Protected Helical Edge Modes in Patterned Elastic Plates
journal, September 2018


Topological Boundary Floppy Modes in Quasicrystals
journal, June 2019


Modulating Band Gap Structure by Parametric Excitations
journal, April 2018

  • Yang, Xiao-Dong; Cui, Qing-Dian; Qian, Ying-Jing
  • Journal of Applied Mechanics, Vol. 85, Issue 6
  • DOI: 10.1115/1.4039755

Doppler-Based Acoustic Gyrator
journal, July 2018

  • Zangeneh-Nejad, Farzad; Fleury, Romain
  • Applied Sciences, Vol. 8, Issue 7
  • DOI: 10.3390/app8071083

Three-Dimensional Topological States of Phonons with Tunable Pseudospin Physics
journal, July 2019


Thermal Conductivity Reduction in a Nanophononic Metamaterial versus a Nanophononic Crystal: A Review and Comparative Analysis
journal, November 2019

  • Hussein, Mahmoud I.; Tsai, Chia‐Nien; Honarvar, Hossein
  • Advanced Functional Materials, Vol. 30, Issue 8
  • DOI: 10.1002/adfm.201906718

Programmable Coding Acoustic Topological Insulator
journal, October 2018

  • Xia, Jian-Ping; Jia, Ding; Sun, Hong-Xiang
  • Advanced Materials, Vol. 30, Issue 46
  • DOI: 10.1002/adma.201805002

Mechanical Analogue of a Majorana Bound State
journal, November 2019

  • Chen, Chun‐Wei; Lera, Natalia; Chaunsali, Rajesh
  • Advanced Materials, Vol. 31, Issue 51
  • DOI: 10.1002/adma.201904386

Applications of Topological Photonics in Integrated Photonic Devices
journal, August 2017


Photonic crystals possessing multiple Weyl points and the experimental observation of robust surface states
journal, October 2016

  • Chen, Wen-Jie; Xiao, Meng; Chan, C. T.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms13038

Symmetry-protected topological photonic crystal in three dimensions
journal, January 2016

  • Lu, Ling; Fang, Chen; Fu, Liang
  • Nature Physics, Vol. 12, Issue 4
  • DOI: 10.1038/nphys3611

Topological mechanics
journal, June 2016


Elastic pseudospin transport for integratable topological phononic circuits
journal, August 2018


Phononic topological insulators based on six-petal holey silicon structures
journal, February 2019


Topological sound
journal, December 2018


Topological phases in acoustic and mechanical systems
journal, March 2019


Stress Wave Isolation by Purely Mechanical Topological Phononic Crystals
journal, August 2016

  • Chaunsali, Rajesh; Li, Feng; Yang, Jinkyu
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep30662

Helical edge states and topological phase transitions in phononic systems using bi-layered lattices
journal, February 2016

  • Pal, Raj Kumar; Schaeffer, Marshall; Ruzzene, Massimo
  • Journal of Applied Physics, Vol. 119, Issue 8
  • DOI: 10.1063/1.4942357

Magnetically tunable topological interface states for Lamb waves in one-dimensional magnetoelastic phononic crystal slabs
journal, November 2019

  • Feng, Luyang; Huang, Kan; Chen, Jiujiu
  • AIP Advances, Vol. 9, Issue 11
  • DOI: 10.1063/1.5120054

Thermally controlled topological states for elastic waves
journal, December 2019

  • Tang, Haocheng; Li, Honglang; Xie, Xiang
  • Applied Physics Letters, Vol. 115, Issue 25
  • DOI: 10.1063/1.5123178

Topological mechanics of gyroscopic metamaterials
journal, November 2015

  • Nash, Lisa M.; Kleckner, Dustin; Read, Alismari
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 47
  • DOI: 10.1073/pnas.1507413112

Observation of topological edge states of acoustic metamaterials at subwavelength scale
journal, April 2018

  • Dai, Hongqing; Jiao, Junrui; Xia, Baizhan
  • Journal of Physics D: Applied Physics, Vol. 51, Issue 17
  • DOI: 10.1088/1361-6463/aab504

Topologically protected edge states for out-of-plane and in-plane bulk elastic waves
journal, March 2018

  • Huo, Shao-Yong; Chen, Jiu-Jiu; Huang, Hong-Bo
  • Journal of Physics: Condensed Matter, Vol. 30, Issue 14
  • DOI: 10.1088/1361-648x/aab22a

Directional mechanical response in the bulk of topological metamaterials
journal, June 2017


Acoustic topological insulator by honeycomb sonic crystals with direct and indirect band gaps
journal, September 2018


Flexural vibration systems with gyroscopic spinners
journal, September 2019

  • Carta, G.; Nieves, M. J.; Jones, I. S.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, Issue 2156
  • DOI: 10.1098/rsta.2019.0154

Topological two-body bound states in the interacting Haldane model
journal, January 2018


Mechanical Quantum Hall Effect in Time-Modulated Elastic Materials
journal, April 2019


Tunable Nonlinear Topological Insulator for Acoustic Waves
journal, October 2019


Quasilossless acoustic transmission in an arbitrary pathway of a network
journal, February 2017


Observation of acoustic valley vortex states and valley-chirality locked beam splitting
journal, May 2017


Tailoring phonon band structures with broken symmetry by shaping spatiotemporal modulations of stiffness in a one-dimensional elastic waveguide
journal, August 2017


Robust edge states in amorphous gyromagnetic photonic lattices
journal, September 2017


Snowflake phononic topological insulator at the nanoscale
journal, January 2018


Simulating quantum spin Hall effect in the topological Lieb lattice of a linear circuit network
journal, February 2018


Observation of valleylike edge states of sound at a momentum away from the high-symmetry points
journal, April 2018


Tunable band topology in gyroscopic lattices
journal, November 2018


Double-Weyl Phonons in Transition-Metal Monosilicides
journal, January 2018


Topological Insulators by Topology Optimization
journal, June 2019


Chiral Voltage Propagation and Calibration in a Topolectrical Chern Circuit
journal, June 2019


Acoustic metamaterials: From local resonances to broad horizons
journal, February 2016


Topological insulator laser: Theory
journal, February 2018


Topological guiding of elastic waves in phononic metamaterials based on 2D pentamode structures
journal, December 2017


Soft self-assembly of Weyl materials for light and sound
journal, April 2018

  • Fruchart, Michel; Jeon, Seung-Yeol; Hur, Kahyun
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 16
  • DOI: 10.1073/pnas.1720828115

Guided transition waves in multistable mechanical metamaterials
journal, January 2020

  • Jin, Lishuai; Khajehtourian, Romik; Mueller, Jochen
  • Proceedings of the National Academy of Sciences, Vol. 117, Issue 5
  • DOI: 10.1073/pnas.1913228117

Topological chiral phonons in center-stacked bilayer triangle lattices
journal, May 2018

  • Xu, Xifang; Zhang, Wei; Wang, Jiaojiao
  • Journal of Physics: Condensed Matter, Vol. 30, Issue 22
  • DOI: 10.1088/1361-648x/aabf5e

Evidence for hidden order in a nonlinear model elastic system
journal, January 2019


Topological edge states in acoustic Kagome lattices
journal, May 2017


Fracturing of topological Maxwell lattices
journal, June 2018


Interfacial waveforms in chiral lattices with gyroscopic spinners
journal, July 2018

  • Garau, M.; Carta, G.; Nieves, M. J.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 474, Issue 2215
  • DOI: 10.1098/rspa.2018.0132

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

Tunable Acoustic Valley–Hall Edge States in Reconfigurable Phononic Elastic Waveguides
journal, January 2018


Quasitopological rotational waves in mechanical granular graphene
journal, February 2018


Topological interface modes in local resonant acoustic systems
journal, July 2018


Kink-antikink asymmetry and impurity interactions in topological mechanical chains
journal, February 2017


Mechanical Weyl Modes in Topological Maxwell Lattices
journal, April 2016


Chiral Edge Mode in the Coupled Dynamics of Magnetic Solitons in a Honeycomb Lattice
journal, August 2017


Topological Edge Floppy Modes in Disordered Fiber Networks
journal, February 2018


Valley Topological Phases in Bilayer Sonic Crystals
journal, March 2018


Valley Physics in Non-Hermitian Artificial Acoustic Boron Nitride
journal, June 2018


Observation of Double Weyl Phonons in Parity-Breaking FeSi
journal, July 2018


Observation of Nonreciprocal Wave Propagation in a Dynamic Phononic Lattice
journal, November 2018


Topological Fano Resonances
journal, January 2019


Topological Waves in Fluids with Odd Viscosity
journal, March 2019


Edge States and Topological Pumping in Spatially Modulated Elastic Lattices
journal, July 2019


First-principle calculation of Chern number in gyrotropic photonic crystals
journal, January 2020

  • Zhao, Ran; Xie, Guo-Da; Chen, Menglin L. N.
  • Optics Express, Vol. 28, Issue 4
  • DOI: 10.1364/oe.380077

Recent Advances in Non-Traditional Elastic Wave Manipulation by Macroscopic Artificial Structures
journal, January 2020

  • Park, Jeonghoon; Lee, Dongwoo; Rho, Junsuk
  • Applied Sciences, Vol. 10, Issue 2
  • DOI: 10.3390/app10020547

Experimental demonstration of anomalous Floquet topological insulator for sound
journal, November 2016

  • Peng, Yu-Gui; Qin, Cheng-Zhi; Zhao, De-Gang
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms13368

Acoustic topological insulator and robust one-way sound transport
journal, August 2016

  • He, Cheng; Ni, Xu; Ge, Hao
  • Nature Physics, Vol. 12, Issue 12
  • DOI: 10.1038/nphys3867

Photoinduced Topological Phase Transitions in Topological Magnon Insulators
journal, March 2018


Brillouin optomechanics in nanophotonic structures
journal, July 2019

  • Wiederhecker, Gustavo S.; Dainese, Paulo; Mayer Alegre, Thiago P.
  • APL Photonics, Vol. 4, Issue 7
  • DOI: 10.1063/1.5088169

Dark state, zero-index and topology in phononic metamaterials with negative mass and negative coupling
journal, September 2019


Floquet topological system based on frequency-modulated classical coupled harmonic oscillators
journal, February 2016


Topological Mechanics of Origami and Kirigami
journal, March 2016


Infrared Topological Plasmons in Graphene
journal, June 2017


Geared Topological Metamaterials with Tunable Mechanical Stability
journal, November 2016


Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
conference, January 2017


Topological sound in active-liquid metamaterials
journal, July 2017

  • Souslov, Anton; van Zuiden, Benjamin C.; Bartolo, Denis
  • Nature Physics, Vol. 13, Issue 11
  • DOI: 10.1038/nphys4193

Dial-in Topological Metamaterials Based on Bistable Stewart Platform
journal, January 2018


Topological boundary modes in jammed matter
journal, January 2016

  • Sussman, Daniel M.; Stenull, Olaf; Lubensky, T. C.
  • Soft Matter, Vol. 12, Issue 28
  • DOI: 10.1039/c6sm00875e

Polarization-dependent and valley-protected Lamb waves in asymmetric pillared phononic crystals
journal, September 2019

  • Wang, Wei; Bonello, Bernard; Djafari-Rouhani, Bahram
  • Journal of Physics D: Applied Physics, Vol. 52, Issue 50
  • DOI: 10.1088/1361-6463/ab43f9

L lines, C points and Chern numbers: understanding band structure topology using polarization fields
journal, November 2017

  • Fösel, Thomas; Peano, Vittorio; Marquardt, Florian
  • New Journal of Physics, Vol. 19, Issue 11
  • DOI: 10.1088/1367-2630/aa8a9f

Topological helical edge states in water waves over a topographical bottom
journal, February 2018


Acoustic graphene network loaded with Helmholtz resonators: a first-principle modeling, Dirac cones, edge and interface waves
journal, January 2020

  • Zheng, Li-Yang; Achilleos, Vassos; Chen, Ze-Guo
  • New Journal of Physics, Vol. 22, Issue 1
  • DOI: 10.1088/1367-2630/ab60f1

Dynamically generated synthetic electric fields for photons
journal, August 2019


Simulation of topological phases with color center arrays in phononic crystals
journal, February 2020


Mirror-symmetry induced topological valley transport along programmable boundaries in a hexagonal sonic crystal
journal, April 2019

  • Geng, Zhi-Guo; Peng, Yu-Gui; Li, Peng-Qi
  • Journal of Physics: Condensed Matter, Vol. 31, Issue 24
  • DOI: 10.1088/1361-648x/ab0fcc

Phononic topological states in 1D quasicrystals
journal, September 2019

  • Silva, J. R. M.; Vasconcelos, M. S.; Anselmo, D. H. A. L.
  • Journal of Physics: Condensed Matter, Vol. 31, Issue 50
  • DOI: 10.1088/1361-648x/ab312a

Nonreciprocal Wave Propagation in a Continuum-Based Metamaterial with Space-Time Modulated Resonators
journal, June 2019


Su-Schrieffer-Heeger Model Inspired Acoustic Interface States and Edge States
text, January 2018


Tunable topological bandgaps and frequencies in a pre-stressed soft phononic crystal
text, January 2018


Topological mechanics of gyroscopic metamaterials
text, January 2015


Experimental Observation of Large Chern numbers in Photonic Crystals
text, January 2015


Floquet Topological Insulators for Sound
text, January 2015


Topological boundary modes in jammed matter
text, January 2015


Model for Topological Phononics and Phonon Diode
text, January 2016


Sonic Landau-level lasing and synthetic gauge fields in mechanical metamaterials
text, January 2016


Edge states of mechanical diamond and its topological origin
text, January 2016


Topological edge floppy modes in disordered fiber networks
text, January 2017


Subwavelength and directional control of flexural waves in zone-folding induced topological plates
text, January 2017


Soft self-assembly of Weyl materials for light and sound
text, January 2017


Topological nodal states in circuit lattice
text, January 2018


Observation of nonreciprocal wave propagation in a dynamic phononic lattice
text, January 2018


Valley-projected edge modes observed in underwater sonic crystals
text, January 2018


Prethermalization and nonreciprocal phonon transport in a levitated optomechanical array
text, January 2018


Mechanical analogue of a Majorana bound state
text, January 2019


Simulation of topological phases with color center arrays in phononic crystals
text, January 2020


Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.