No retraction, correction or concern found when last checked on Oct 24, 2026.
Floquet topological insulators for sound
Romain Fleury, Alexander B Khanikaev, Andrea Alù
Nature Communications · 2016 · CC BY
Abstract
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.
Full text
Its licence does not allow us to show the full text. Read it at PubMed Central:
Read at PubMed CentralReferences 58
- 1.
Kane C. L. & Mele E. J. Z2 topological order and the quantum spin Hall effect. Phys. Rev. Lett. 95, 146802 (2005 ).
Not in our library10.1103/physrevlett.95.146802
- 2.
Kane C. L. & Mele E. J. Quantum spin Hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005 ).
Not in our library10.1103/physrevlett.95.226801
- 3.
Bernevig B. A., Hughes T. L. & Zhang S.-C. Quantum spin Hall effect and topological phase transition in HgTe quantum wells. Science 314, 1757–1761 (2006 ).
Not in our library10.1126/science.1133734
- 4.
Fu L., Kane C. & Mele E. Topological insulators in three dimensions. Phys. Rev. Lett. 98, 106803 (2007 ).
Not in our library10.1103/physrevlett.98.106803
- 5.
Hsieh D. et al. A topological Dirac insulator in a quantum spin Hall phase. Nature 452, 970–974 (2008 ).
Not in our library10.1038/nature06843
- 6.
Moore J. & Balents L. Topological invariants of time-reversal-invariant band structures. Phys. Rev. B 75, 121306 (2007 ).
Not in our library
- 7.
Roy R. Z2 classification of quantum spin Hall systems: an approach using time-reversal invariance. Phys. Rev. B 79, 195321 (2009 ).
Not in our library
- 8.
Zhang H. et al. Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface. Nat. Phys. 5, 438–442 (2009 ).
Not in our library
- 9.
Hasan M. Z. & Kane C. L. Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010 ).
Not in our library
- 10.
Qi X.-L. & Zhang S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057–1110 (2011 ).
Not in our library
- 11.
Lu L., Joannopoulos J. D. & Soljačić M. Topological photonics. Nat. Photon. 8, 821–829 (2014 ).
Not in our library
- 12.
Kane C. L. & Lubensky T. C. Topological boundary modes in isostatic lattices. Nat. Phys. 10, 39–45 (2013 ).
Not in our library
- 13.
Peano V., Brendel C., Schmidt M. & Marquardt F. Topological phases of sound and light. Phys. Rev. X 5, 031011 (2015 ).
Not in our library
- 14.
Yang Z. et al. Topological acoustics. Phys. Rev. Lett. 114, 114301 (2015 ).
Not in our library10.1103/physrevlett.114.114301
- 15.
- 16.
Wang P., Lu L. & Bertoldi K. Topological phononic crystals with one-way elastic edge waves. Phys. Rev. Lett. 115, 104302 (2015 ).
Not in our library10.1103/physrevlett.115.104302
- 17.
Nash L. M. et al. Topological mechanics of gyroscopic metamaterials. Proc. Natl. Acad. Sci. USA 112, 14495–14500 (2015 ).
Not in our library10.1073/pnas.1507413112
- 18.
Mittal S. et al. Topologically robust transport of photons in a synthetic gauge field. Phys. Rev. Lett. 113, 087403 (2014 ).
Not in our library10.1103/physrevlett.113.087403
- 19.
Haldane F. D. M. & Raghu S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett. 100, 013904 (2008 ).
Not in our library10.1103/physrevlett.100.013904
- 20.
Wang Z., Chong Y., Joannopoulos J. D. & Soljacić M. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature 461, 772–775 (2009 ).
Not in our library10.1038/nature08293
- 21.
Hafezi M., Mittal S., Fan J., Migdall A. & Taylor J. M. Imaging topological edge states in silicon photonics. Nat. Photon. 7, 1001–1005 (2013 ).
Not in our library
- 22.
Rechtsman M. C. et al. Photonic Floquet topological insulators. Nature 496, 196–200 (2013 ).
Not in our library10.1038/nature12066
- 23.
Khanikaev A. B. et al. Photonic topological insulators. Nat. Mater. 12, 233–239 (2013 ).
Not in our library10.1038/nmat3520
- 24.
Prodan E. & Prodan C. Topological phonon modes and their role in dynamic instability of microtubules. Phys. Rev. Lett. 103, 248101 (2009 ).
Not in our library10.1103/physrevlett.103.248101
- 25.
Metlitski M. A., Kane C. L. & Fisher M. P. A. Bosonic topological insulator in three dimensions and the statistical Witten effect. Phys. Rev. B 88, 035131 (2013 ).
Not in our library
- 26.
Chen X., Gu Z.-C., Liu Z.-X. & Wen X.-G. Symmetry protected topological orders and the group cohomology of their symmetry group. Phys. Rev. B 87, 155114 (2013 ).
Not in our library
- 27.
Vishwanath A. & Senthil T. Physics of three-dimensional bosonic topological insulators: surface-deconfined criticality and quantized magnetoelectric effect. Phys. Rev. X 3, 011016 (2013 ).
Not in our library
- 28.
Senthil T. Symmetry-protected topological phases of quantum matter. Annu. Rev. Condens. Matter Phys. 6, 299–324 (2015 ).
Not in our library
- 29.
Ye P. & Gu Z.-C. Vortex-line condensation in three dimensions: a physical mechanism for bosonic topological insulators. Phys. Rev. X 5, 021029 (2015 ).
Not in our library
- 30.
Raghu S. & Haldane F. Analogs of quantum-Hall-effect edge states in photonic crystals. Phys. Rev. A 78, 033834 (2008 ).
Not in our library
- 31.
Wang Z., Chong Y. D., Joannopoulos J. D. & Soljačić M. Reflection-free one-way edge modes in a gyromagnetic photonic crystal. Phys. Rev. Lett. 100, 013905 (2008 ).
Not in our library10.1103/physrevlett.100.013905
- 32.
Fang K., Yu Z. & Fan S. Realizing effective magnetic field for photons by controlling the phase of dynamic modulation. Nat. Photon. 6, 782–787 (2012 ).
Not in our library
- 33.
Fang K. & Fan S. Controlling the flow of light using the inhomogeneous effective gauge field that emerges from dynamic modulation. Phys. Rev. Lett. 111, 203901 (2013 ).
Not in our library10.1103/physrevlett.111.203901
- 34.
Hafezi M., Demler E. A., Lukin M. D. & Taylor J. M. Robust optical delay lines with topological protection. Nat. Phys. 7, 907–912 (2011 ).
Not in our library
- 35.
Ma T., Khanikaev A. B., Mousavi S. H. & Shvets G. Guiding electromagnetic waves around sharp corners: topologically protected photonic transport in metawaveguides. Phys. Rev. Lett. 114, 127401 (2015 ).
Not in our library10.1103/physrevlett.114.127401
- 36.
Chen W.-J. et al. Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide. Nat. Commun. 5, 5782 (2014 ).
Not in our library10.1038/ncomms6782
- 37.
Chen W.-J., Zhang Z.-Q., Dong J.-W. & Chan C. T. Symmetry-protected transport in a pseudospin-polarized waveguide. Nat. Commun. 6, 8183 (2015 ).
Not in our library10.1038/ncomms9183
- 38.
Lu L., Fu L., Joannopoulos J. D. & Soljačić M. Weyl points and line nodes in gyroid photonic crystals. Nat. Photon. 7, 294–299 (2013 ).
Not in our library
- 39.
Lu L. et al. Experimental observation of Weyl points. Science 349, 622–624 (2015 ).
Not in our library10.1126/science.aaa9273
- 40.
Fu L. Topological Crystalline Insulators. Phys. Rev. Lett. 106, 106802 (2011 ).
Not in our library10.1103/physrevlett.106.106802
Cited by papers we hold 3
Reads
Read by people on this page
None yet.
Checked or read by AI through naulon
None yet.
A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.
Are you an author?
Is this your paper?
Claim it to add your note and be paid when agents cite it. Free.