The DOI matches its Crossref record; 60 of the 60 references it cites were found in a registry or an index.
Floquet topological insulators for sound
Open accessAbstract
The unique conduction properties of condensed matter systems with topological order have recently inspired a quest for the similar effects in classical wave phenomena. Acoustic topological insulators, in particular, hold the promise to revolutionize our ability to control sound, allowing for large isolation in the bulk and broadband one-way transport along their edges, with topological immunity against structural defects and disorder. So far, these fascinating properties have been obtained relying on moving media, which may introduce noise and absorption losses, hindering the practical potential of topological acoustics. Here we overcome these limitations by modulating in time the acoustic properties of a lattice of resonators, introducing the concept of acoustic Floquet topological insulators. We show that acoustic waves provide a fertile ground to apply the anomalous physics of Floquet topological insulators, and demonstrate their relevance for a wide range of acoustic applications, including broadband acoustic isolation and topologically protected, nonreciprocal acoustic emitters.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Quantum Spin Hall Effect in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Z 2 Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460
Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
Zhang, H., Liu, C.-X., Qi, X.-L., Dai, X., Fang, Z., & Zhang, S.-C. (2009) · Nature Physics · doi:10.1038/nphys1270 · Cited by 6,359
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332
Observation of unidirectional backscattering-immune topological electromagnetic states
Wang, Z., Chong, Y., Joannopoulos, J. D., & Soljačić, M. (2009) · Nature · doi:10.1038/nature08293 · Cited by 3,123
Haldane, F. D. M., & Raghu, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013904 · Cited by 2,787
Haldane, F. D. M., & Raghu, S. (2005) · arXiv · doi:10.48550/arxiv.cond-mat/0503588 · Cited by 2,739
Topological invariants of time-reversal-invariant band structures
Moore, J. E., & Balents, L. (2007) · Physical Review B · doi:10.1103/physrevb.75.121306 · Cited by 2,350
Topological Crystalline Insulators
Fu, L. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.106802 · Cited by 2,095
Photonic topological insulators
Khanikaev, A. B., Hossein Mousavi, S., Tse, W.-K., Kargarian, M., MacDonald, A. H., & Shvets, G. (2013) · Nature Materials · doi:10.1038/nmat3520 · Cited by 1,971
Self-citationImaging topological edge states in silicon photonics
Hafezi, M., Mittal, S., Fan, J., Migdall, A., & Taylor, J. M. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.274 · Cited by 1,715
Floquet topological insulator in semiconductor quantum wells
Lindner, N. H., Refael, G., & Galitski, V. (2011) · Nature Physics · doi:10.1038/nphys1926 · Cited by 1,630
Chern number and edge states in the integer quantum Hall effect
Hatsugai, Y. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.3697 · Cited by 1,499
Robust optical delay lines with topological protection
Hafezi, M., Demler, E. A., Lukin, M. D., & Taylor, J. M. (2011) · Nature Physics · doi:10.1038/nphys2063 · Cited by 1,466
Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
Wang, Z., Chong, Y. D., Joannopoulos, J. D., & Soljačić, M. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013905 · Cited by 1,444 · cited 1×
“systems, which lack the protection available for fermions, topological order emerges from the removal of either time-reversal symmetry [13,17,18,20,27-30], emulating the Quantum Hall effect, or of certain forms of internal or lattice symmetries [19,21,31-36], which is in analogy with topological crystalline insulators…”
BackgroundPhotovoltaic Hall effect in graphene
Oka, T., & Aoki, H. (2009) · Physical Review B · doi:10.1103/physrevb.79.081406 · Cited by 1,423
Yang, Z., Gao, F., Shi, X., Lin, X., Gao, Z., Chong, Y., & Zhang, B. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.114301 · Cited by 1,329
Symmetry protected topological orders and the group cohomology of their symmetry group
Chen, X., Gu, Z.-C., Liu, Z.-X., & Wen, X.-G. (2013) · Physical Review B · doi:10.1103/physrevb.87.155114 · Cited by 1,311
Analogs of quantum-Hall-effect edge states in photonic crystals
Raghu, S., & Haldane, F. D. M. (2008) · Physical Review A · doi:10.1103/physreva.78.033834 · Cited by 1,290
Topological characterization of periodically driven quantum systems
Kitagawa, T., Berg, E., Rudner, M., & Demler, E. (2010) · Physical Review B · doi:10.1103/physrevb.82.235114 · Cited by 1,239
Realizing effective magnetic field for photons by controlling the phase of dynamic modulation
Fang, K., Yu, Z., & Fan, S. (2012) · Nature Photonics · doi:10.1038/nphoton.2012.236 · Cited by 1,169
Sound Isolation and Giant Linear Nonreciprocity in a Compact Acoustic Circulator
Fleury, R., Sounas, D. L., Sieck, C. F., Haberman, M. R., & Alù, A. (2014) · Science · doi:10.1126/science.1246957 · Cited by 1,073
Self-citationExperimental observation of Weyl points
Lu, L., Wang, Z., Ye, D., Ran, L., Fu, L., Joannopoulos, J. D., & Soljačić, M. (2015) · Science · doi:10.1126/science.aaa9273 · Cited by 1,067
Topological Phononic Crystals with One-Way Elastic Edge Waves
Wang, P., Lu, L., & Bertoldi, K. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.104302 · Cited by 855
Topological boundary modes in isostatic lattices
Kane, C. L., & Lubensky, T. C. (2014) · Nature Physics · doi:10.1038/nphys2835 · Cited by 813
Topological mechanics of gyroscopic metamaterials
Nash, L. M., Kleckner, D., Read, A., Vitelli, V., Turner, A. M., & Irvine, W. T. M. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1507413112 · Cited by 804
Fundamentals of Physical Acoustics
Blackstock, D. T., & Atchley, A. A. (2001) · The Journal of the Acoustical Society of America · doi:10.1121/1.1354982 · Cited by 761
Khanikaev, A. B., Mousavi, S. H., Tse, W.-K., Kargarian, M., MacDonald, A. H., & Shvets, G. B. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1204.5700 · Cited by 732
Self-citationEstep, N. A., Sounas, D. L., Soric, J., & Alù, A. (2014) · Nature Physics · doi:10.1038/nphys3134 · Cited by 704
Self-citationGeometric phase and band inversion in periodic acoustic systems
Xiao, M., Ma, G., Yang, Z., Sheng, P., Zhang, Z. Q., & Chan, C. T. (2015) · Nature Physics · doi:10.1038/nphys3228 · Cited by 684
Weyl points and line nodes in gyroid photonic crystals
Lu, L., Fu, L., Joannopoulos, J. D., & Soljačić, M. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.42 · Cited by 680
Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice
Khanikaev, A. B., Fleury, R., Mousavi, S. H., & Alù, A. (2015) · Nature Communications · doi:10.1038/ncomms9260 · Cited by 614
Self-citationSymmetry-Protected Topological Phases of Quantum Matter
Senthil, T. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014740 · Cited by 583
Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide
Chen, W.-J., Jiang, S.-J., Chen, X.-D., Zhu, B., Zhou, L., Dong, J.-W., & Chan, C. T. (2014) · Nature Communications · doi:10.1038/ncomms6782 · Cited by 555
Vishwanath, A., & Senthil, T. (2013) · Physical Review X · doi:10.1103/physrevx.3.011016 · Cited by 489
Ma, T., Khanikaev, A. B., Mousavi, S. H., & Shvets, G. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.127401 · Cited by 393
Self-citationTopological Phonon Modes and Their Role in Dynamic Instability of Microtubules
Prodan, E., & Prodan, C. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.248101 · Cited by 349
Topological Phases of Sound and Light
Peano, V., Brendel, C., Schmidt, M., & Marquardt, F. (2015) · MPG.PuRe (Max Planck Society) · Cited by 329
Inoue, J.-I., & Tanaka, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.017401 · Cited by 307
Multimode One-Way Waveguides of Large Chern Numbers
Skirlo, S. A., Lu, L., & Soljačić, M. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.113904 · Cited by 307
Z2classification of quantum spin Hall systems: An approach using time-reversal invariance
Roy, R. (2009) · Physical Review B · doi:10.1103/physrevb.79.195321 · Cited by 299
Topologically Robust Transport of Photons in a Synthetic Gauge Field
Mittal, S., Fan, J., Faez, S., Migdall, A., Taylor, J. M., & Hafezi, M. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.087403 · Cited by 284
Reciprocity in reflection and transmission: What is a ‘phonon diode’?
Maznev, A. A., Every, A. G., & Wright, O. B. (2013) · Wave Motion · doi:10.1016/j.wavemoti.2013.02.006 · Cited by 219
Optically Engineering the Topological Properties of a Spin Hall Insulator
Dóra, B., Cayssol, J., Simon, F., & Moessner, R. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.056602 · Cited by 204
Bosonic topological insulator in three dimensions and the statistical Witten effect
Metlitski, M. A., Kane, C. L., & Fisher, M. P. A. (2013) · Physical Review B · doi:10.1103/physrevb.88.035131 · Cited by 159
Subwavelength ultrasonic circulator based on spatiotemporal modulation
Fleury, R., Sounas, D. L., & Alù, A. (2015) · Physical Review B · doi:10.1103/physrevb.91.174306 · Cited by 149
Self-citationSwinteck, N. Z., Matsuo, S., Runge, K., Vasseur, J. O., Lucas, P., & Deymier, P. A. (2015) · Journal of Applied Physics · doi:10.1063/1.4928619 · Cited by 145
Network models of photonic Floquet topological insulators
Pasek, M., & Chong, Y. D. (2014) · Physical Review B · doi:10.1103/physrevb.89.075113 · Cited by 132
Fang, K., & Fan, S. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.203901 · Cited by 121
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Zhang, S., Bernevig, B. A., & Hughes, T. L. (2007) · Bulletin of the American Physical Society · Cited by 110
Symmetry-protected transport in a pseudospin-polarized waveguide
Chen, W.-J., Zhang, Z.-Q., Dong, J., & Chan, C. T. (2015) · Nature Communications · doi:10.1038/ncomms9183 · Cited by 73
Effective Magnetic Fields for Stationary Light
Otterbach, J., Ruseckas, J., Unanyan, R. G., Juzeliūnas, G., & Fleischhauer, M. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.033903 · Cited by 54
Gan, W. S. (2021) · Springer eBooks · doi:10.1007/978-981-16-3235-8_5 · Cited by 52
Photonic Topological Insulators
Segev, M. (2014) · Frontiers in Optics · doi:10.1364/fio.2014.jm1a.2 · Cited by 44
Research works printed but not linked: 3
- Ye, P. & Gu, Z.-C. Vortex-line condensation in three dimensions: a physical mechanism for bosonic topological insulators. Phys. Rev. X 5, 021029 (2015).
- Folds, D. L. Speed of sound and transmission loss in silicone rubbers at ultrasonic frequencies. J. Acoust. Soc. Am. 56, 1295–1296 (1974). · doi:10.1121/1.1903422
- Fleury, R., Sounas, D. L., Haberman, M. R. & Alù, A. Nonreciprocal acoustics. Acoust. Today 11, 14 (2015).
Cited by
Topological insulator laser: Experiments
Bandres, M. A., Wittek, S., Harari, G., Parto, M., Ren, J., Segev, M., Christodoulides, D. N., & Khajavikhan, M. (2018) · Science · doi:10.1126/science.aar4005 · Cited by 1,315
Non-reciprocal photonics based on time modulation
Sounas, D. L., & Alù, A. (2017) · Nature Photonics · doi:10.1038/s41566-017-0051-x · Cited by 989
Self-citationTopological phases in acoustic and mechanical systems
Ma, G., Xiao, M., & Chan, C. T. (2019) · Nature Reviews Physics · doi:10.1038/s42254-019-0030-x · Cited by 830
Nonreciprocal lasing in topological cavities of arbitrary geometries
Bahari, B., Ndao, A., Vallini, F., El Amili, A., Fainman, Y., & Kanté, B. (2017) · Science · doi:10.1126/science.aao4551 · Cited by 770
Photonics of time-varying media
Galiffi, E., Tirole, R., Yin, S., Li, H., Vezzoli, S., Huidobro, P. A., Silveirinha, M. G., Sapienza, R., Alù, A., & Pendry, J. B. (2022) · Advanced Photonics · doi:10.1117/1.ap.4.1.014002 · Cited by 591
Self-citation
Metadata
- Authors
- Fleury, R., Khanikaev, A. B., & Alù, A.
- Venue
- Nature Communications
- Published
- 2016-06-17
- Volume
- 7
- Issue
- 1
- Pages
- 11744-11744
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2182508619
- Cited by
- 630
- References
- 60
- FWCI
- 34.61
- Type
- journal article
- Language
- en
- Open access
- gold
- Licence
- creativecommons.org/licenses/by/4.0 (tdm)
- creativecommons.org/licenses/by/4.0 (vor)
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
