Topological acoustics
Source abstract
Abstract
Topological acoustics is an emerging field that lies at the intersection of condensed matter physics, mechanical structural design and acoustics engineering. It explores the design and construction of novel artificial structures, such as acoustic metamaterials and phononic crystals, to manipulate sound waves robustly, taking advantage of topological protection. Early work on topological acoustics was limited to duplicating topological phases that have been understood in condensed matter systems, but recent advances have shifted the paradigm to exploring novel topological concepts that are difficult to realize in other physical systems, such as various topological semimetal phases, and topological phases associated with Floquet engineering, fragile topology, non-Hermiticity and synthetic dimensions. These developments demonstrate the unique advantages of topological acoustic systems and their role in developing topological physics. In this Review, we survey the fundamental mechanisms, basic designs and practical realizations of topological phases in acoustic systems, and provide an overview of future directions and potential applications.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Topological Materials and Phenomena · Quantum Mechanics and Non-Hermitian Physics · Quantum, superfluid, helium dynamics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (100+)
Show source-provided references
1. Kurokawa, K. Fukushima nuclear accident independent investigation commission by the National Diet of Japan. Nippon Genshiryoku Gakkaishi 55, 146–151 (2013).
2. Leventhall, H. G. Low frequency noise and annoyance. Noise Health 6, 59 (2004).
3. Ozcelik, A. et al. Acoustic tweezers for the life sciences. Nat. Methods 15, 1021–1028 (2018).10.1038/s41592-018-0222-9 ↗
4. Balram, K. C., Davanço, M. I., Song, J. D. & Srinivasan, K. Coherent coupling between radiofrequency, optical and acoustic waves in piezo-optomechanical circuits. Nat. Photon 10, 346–352 (2016).10.1038/nphoton.2016.46 ↗
5. Chu, Y. et al. Quantum acoustics with superconducting qubits. Science 358, 199–202 (2017).10.1126/science.aao1511 ↗
6. Hasan, M. Z. & Kane, C. L. Colloquium: Topological insulators. Rev. Mod. Phys. 82, 3045 (2010).10.1103/RevModPhys.82.3045 ↗
7. Qi, X.-L. & Zhang, S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057 (2011).10.1103/RevModPhys.83.1057 ↗
8. Armitage, N., Mele, E. & Vishwanath, A. Weyl and Dirac semimetals in three-dimensional solids. Rev. Mod. Phys. 90, 015001 (2018).10.1103/RevModPhys.90.015001 ↗
9. Maldovan, M. Sound and heat revolutions in phononics. Nature 503, 209–217 (2013).10.1038/nature12608 ↗
10. Kushwaha, M. S., Halevi, P., Dobrzynski, L. & Djafari-Rouhani, B. Acoustic band structure of periodic elastic composites. Phys. Rev. Lett. 71, 2022 (1993).10.1103/PhysRevLett.71.2022 ↗
11. Sigalas, M. & Economou, E. N. Band structure of elastic waves in two dimensional systems. Solid State Commun. 86, 141–143 (1993).10.1016/0038-1098(93)90888-T ↗
12. Cummer, S. A., Christensen, J. & Alù, A. Controlling sound with acoustic metamaterials. Nat. Rev. Mater. 1, 16001 (2016).10.1038/natrevmats.2016.1 ↗
13. Ma, G., Xiao, M. & Chan, C. T. Topological phases in acoustic and mechanical systems. Nat. Rev. Phys. 1, 281–294 (2019).10.1038/s42254-019-0030-x ↗
14. Zhang, X., Xiao, M., Cheng, Y., Lu, M.-H. & Christensen, J. Topological sound. Commun. Phys. 1, 97 (2018).10.1038/s42005-018-0094-4 ↗
15. Huber, S. D. Topological mechanics. Nat. Phys. 12, 621–623 (2016).10.1038/nphys3801 ↗
16. Klitzing, K. V., Dorda, G. & Pepper, M. New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance. Phys. Rev. Lett. 45, 494 (1980).10.1103/PhysRevLett.45.494 ↗
17. Thouless, D. J., Kohmoto, M., Nightingale, M. P. & den Nijs, M. Quantized Hall conductance in a two-dimensional periodic potential. Phys. Rev. Lett. 49, 405 (1982).10.1103/PhysRevLett.49.405 ↗
18. Roux, P., de Rosny, J., Tanter, M. & Fink, M. The Aharonov–Bohm effect revisited by an acoustic time-reversal mirror. Phys. Rev. Lett. 79, 3170 (1997).10.1103/PhysRevLett.79.3170 ↗
19. Fleury, R., Sounas, D. L., Sieck, C. F., Haberman, M. R. & Alù, A. Sound isolation and giant linear nonreciprocity in a compact acoustic circulator. Science 343, 516–519 (2014).10.1126/science.1246957 ↗
20. Yang, Z. et al. Topological acoustics. Phys. Rev. Lett. 114, 114301 (2015).10.1103/PhysRevLett.114.114301 ↗
21. Ni, X. et al. Topologically protected one-way edge mode in networks of acoustic resonators with circulating air flow. New J. Phys. 17, 053016 (2015).10.1088/1367-2630/17/5/053016 ↗
22. Khanikaev, A. B., Fleury, R., Mousavi, S. H. & Alù, A. Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice. Nat. Commun. 6, 8260 (2015).10.1038/ncomms9260 ↗
23. Brekhovskikh, L. M. & Godin, O. A. Acoustics of Layered Media II: Point Sources and Bounded Beams (Springer, 1999).10.1007/978-3-662-03889-5 ↗
24. Haldane, F. D. M. Model for a quantum Hall effect without Landau levels: condensed-matter realization of the ‘parity anomaly’. Phys. Rev. Lett. 61, 2015 (1988).10.1103/PhysRevLett.61.2015 ↗
25. Chen, Z.-G. & Wu, Y. Tunable topological phononic crystals. Phys. Rev. Appl. 5, 054021 (2016).10.1103/PhysRevApplied.5.054021 ↗
26. Souslov, A., Van Zuiden, B. C., Bartolo, D. & Vitelli, V. Topological sound in active-liquid metamaterials. Nat. Phys. 13, 1091–1094 (2017).10.1038/nphys4193 ↗
27. Ding, Y. et al. Experimental demonstration of acoustic Chern insulators. Phys. Rev. Lett. 122, 014302 (2019).10.1103/PhysRevLett.122.014302 ↗
28. Yang, Z., Gao, F., Yang, Y. & Zhang, B. Strain-induced gauge field and Landau levels in acoustic structures. Phys. Rev. Lett. 118, 194301 (2017).10.1103/PhysRevLett.118.194301 ↗
29. Wen, X. et al. Acoustic Landau quantization and quantum-Hall-like edge states. Nat. Phys. 15, 352–356 (2019).10.1038/s41567-019-0446-3 ↗
30. Guinea, F., Katsnelson, M. & Geim, A. Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering. Nat. Phys. 6, 30–33 (2010).10.1038/nphys1420 ↗
31. Peri, V., Serra-Garcia, M., Ilan, R. & Huber, S. D. Axial-field-induced chiral channels in an acoustic Weyl system. Nat. Phys. 15, 357–361 (2019).10.1038/s41567-019-0415-x ↗
32. Kane, C. L. & Mele, E. J. Z2 topological order and the quantum spin Hall effect. Phys. Rev. Lett. 95, 146802 (2005).10.1103/PhysRevLett.95.146802 ↗
33. Kane, C. L. & Mele, E. J. Quantum spin Hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005).10.1103/PhysRevLett.95.226801 ↗
34. 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).10.1126/science.1133734 ↗
35. Wu, C., Bernevig, B. A. & Zhang, S.-C. Helical liquid and the edge of quantum spin Hall systems. Phys. Rev. Lett. 96, 106401 (2006).10.1103/PhysRevLett.96.106401 ↗
36. He, C. et al. Acoustic topological insulator and robust one-way sound transport. Nat. Phys. 12, 1124–1129 (2016).10.1038/nphys3867 ↗
37. Mei, J., Chen, Z. & Wu, Y. Pseudo-time-reversal symmetry and topological edge states in two-dimensional acoustic crystals. Sci. Rep. 6, 32752 (2016).10.1038/srep32752 ↗
38. Zhang, Z. et al. Topological creation of acoustic pseudospin multipoles in a flow-free symmetry-broken metamaterial lattice. Phys. Rev. Lett. 118, 084303 (2017).10.1103/PhysRevLett.118.084303 ↗
39. Yves, S., Fleury, R., Lemoult, F., Fink, M. & Lerosey, G. Topological acoustic polaritons: robust sound manipulation at the subwavelength scale. New J. Phys. 19, 075003 (2017).10.1088/1367-2630/aa66f8 ↗
40. Xia, B.-Z. et al. Topological phononic insulator with robust pseudospin-dependent transport. Phys. Rev. B 96, 094106 (2017).10.1103/PhysRevB.96.094106 ↗
41. Deng, Y., Ge, H., Tian, Y., Lu, M. & Jing, Y. Observation of zone folding induced acoustic topological insulators and the role of spin-mixing defects. Phys. Rev. B 96, 184305 (2017).10.1103/PhysRevB.96.184305 ↗
42. Wu, L.-H. & Hu, X. Scheme for achieving a topological photonic crystal by using dielectric material. Phys. Rev. Lett. 114, 223901 (2015).10.1103/PhysRevLett.114.223901 ↗
43. Deng, W. et al. Acoustic spin-Chern insulator induced by synthetic spin–orbit coupling with spin conservation breaking. Nat. Commun. 11, 3227 (2020).10.1038/s41467-020-17039-1 ↗
44. Christiansen, R. E., Wang, F. & Sigmund, O. Topological insulators by topology optimization. Phys. Rev. Lett. 122, 234502 (2019).10.1103/PhysRevLett.122.234502 ↗
45. Xia, J.-P. et al. Programmable coding acoustic topological insulator. Adv. Mater. 30, 1805002 (2018).10.1002/adma.201805002 ↗
46. Fu, L., Kane, C. L. & Mele, E. J. Topological insulators in three dimensions. Phys. Rev. Lett. 98, 106803 (2007).10.1103/PhysRevLett.98.106803 ↗
47. He, C. et al. Acoustic analogues of three-dimensional topological insulators. Nat. Commun. 11, 2318 (2020).10.1038/s41467-020-16131-w ↗
48. Schaibley, J. R. et al. Valleytronics in 2D materials. Nat. Rev. Mater. 1, 16055 (2016).10.1038/natrevmats.2016.55 ↗
49. Lu, J., Qiu, C., Ke, M. & Liu, Z. Valley vortex states in sonic crystals. Phys. Rev. Lett. 116, 093901 (2016).10.1103/PhysRevLett.116.093901 ↗
50. Lu, J. et al. Observation of topological valley transport of sound in sonic crystals. Nat. Phys. 13, 369–374 (2017).10.1038/nphys3999 ↗
51. Xiao, D., Yao, W. & Niu, Q. Valley-contrasting physics in graphene: magnetic moment and topological transport. Phys. Rev. Lett. 99, 236809 (2007).10.1103/PhysRevLett.99.236809 ↗
52. Lu, J. et al. Dirac cones in two-dimensional artificial crystals for classical waves. Phys. Rev. B 89, 134302 (2014).10.1103/PhysRevB.89.134302 ↗
53. Ye, L. et al. Observation of acoustic valley vortex states and valley-chirality locked beam splitting. Phys. Rev. B 95, 174106 (2017).10.1103/PhysRevB.95.174106 ↗
54. Wu, X. et al. Direct observation of valley-polarized topological edge states in designer surface plasmon crystals. Nat. Commun. 8, 1304 (2017).10.1038/s41467-017-01515-2 ↗
55. Zhang, L. et al. Valley kink states and topological channel intersections in substrate-integrated photonic circuitry. Laser Photon. Rev. 13, 1900159 (2019).10.1002/lpor.201900159 ↗
56. Orazbayev, B. & Fleury, R. Quantitative robustness analysis of topological edge modes in C6 and valley-Hall metamaterial waveguides. Nanophotonics 8, 1433–1441 (2019).10.1515/nanoph-2019-0137 ↗
57. Zhang, Z. et al. Topological acoustic delay line. Phys. Rev. Appl. 9, 034032 (2018).10.1103/PhysRevApplied.9.034032 ↗
58. Ma, T. & Shvets, G. All-Si valley-Hall photonic topological insulator. New J. Phys. 18, 025012 (2016).10.1088/1367-2630/18/2/025012 ↗
59. Gao, F. et al. Topologically protected refraction of robust kink states in valley photonic crystals. Nat. Phys. 14, 140–144 (2018).10.1038/nphys4304 ↗
60. Jia, D. et al. Topological refraction in dual-band valley sonic crystals. Phys. Rev. B 103, 144309 (2021).10.1103/PhysRevB.103.144309 ↗
61. Zhang, Z. et al. Directional acoustic antennas based on valley-Hall topological insulators. Adv. Mater. 30, 1803229 (2018).10.1002/adma.201803229 ↗
62. Lu, J. et al. Valley topological phases in bilayer sonic crystals. Phys. Rev. Lett. 120, 116802 (2018).10.1103/PhysRevLett.120.116802 ↗
63. Zhu, Z. et al. Acoustic valley spin Chern insulators. Phys. Rev. Appl. 16, 014058 (2021).10.1103/PhysRevApplied.16.014058 ↗
64. Wang, M. et al. Valley-locked waveguide transport in acoustic heterostructures. Nat. Commun. 11, 3000 (2020).10.1038/s41467-020-16843-z ↗
65. Wang, M., Ye, L., Christensen, J. & Liu, Z. Valley physics in non-Hermitian artificial acoustic boron nitride. Phys. Rev. Lett. 120, 246601 (2018).10.1103/PhysRevLett.120.246601 ↗
66. King-Smith, R. & Vanderbilt, D. Theory of polarization of crystalline solids. Phys. Rev. B 47, 1651 (1993).10.1103/PhysRevB.47.1651 ↗
67. Vanderbilt, D. & King-Smith, R. Electric polarization as a bulk quantity and its relation to surface charge. Phys. Rev. B 48, 4442 (1993).10.1103/PhysRevB.48.4442 ↗
68. Berry, M. V. Quantal phase factors accompanying adiabatic changes. Proc. R. Soc. Lond. A 392, 45–57 (1984).10.1098/rspa.1984.0023 ↗
69. Peterson, C. W., Li, T., Benalcazar, W. A., Hughes, T. L. & Bahl, G. A fractional corner anomaly reveals higher-order topology. Science 368, 1114–1118 (2020).10.1126/science.aba7604 ↗
70. Xiao, M. et al. Geometric phase and band inversion in periodic acoustic systems. Nat. Phys. 11, 240–244 (2015).10.1038/nphys3228 ↗
71. Zak, J. Berry’s phase for energy bands in solids. Phys. Rev. Lett. 62, 2747 (1989).10.1103/PhysRevLett.62.2747 ↗
72. Yang, Z. & Zhang, B. Acoustic type-II Weyl nodes from stacking dimerized chains. Phys. Rev. Lett. 117, 224301 (2016).10.1103/PhysRevLett.117.224301 ↗
73. Xiao, Y.-X., Ma, G., Zhang, Z.-Q. & Chan, C. T. Topological subspace-induced bound state in the continuum. Phys. Rev. Lett. 118, 166803 (2017).10.1103/PhysRevLett.118.166803 ↗
74. Li, X. et al. Su–Schrieffer–Heeger model inspired acoustic interface states and edge states. Appl. Phys. Lett. 113, 203501 (2018).10.1063/1.5051523 ↗
75. Su, W., Schrieffer, J. & Heeger, A. J. Solitons in polyacetylene. Phys. Rev. Lett. 42, 1698 (1979).10.1103/PhysRevLett.42.1698 ↗
76. Zangeneh-Nejad, F. & Fleury, R. Topological Fano resonances. Phys. Rev. Lett. 122, 014301 (2019).10.1103/PhysRevLett.122.014301 ↗
77. Zangeneh-Nejad, F. & Fleury, R. Topological analog signal processing. Nat. Commun. 10, 2058 (2019).10.1038/s41467-019-10086-3 ↗
78. Xie, B. et al. Higher-order band topology. Nat. Rev. Phys. 3, 520–532 (2021).10.1038/s42254-021-00323-4 ↗
79. Xue, H., Yang, Y., Gao, F., Chong, Y. & Zhang, B. Acoustic higher-order topological insulator on a kagome lattice. Nat. Mater. 18, 108–112 (2019).10.1038/s41563-018-0251-x ↗
80. Ni, X., Weiner, M., Alù, A. & Khanikaev, A. B. Observation of higher-order topological acoustic states protected by generalized chiral symmetry. Nat. Mater. 18, 113–120 (2019).10.1038/s41563-018-0252-9 ↗
81. Zhang, X. et al. Second-order topology and multidimensional topological transitions in sonic crystals. Nat. Phys. 15, 582–588 (2019).10.1038/s41567-019-0472-1 ↗
82. Xue, H. et al. Realization of an acoustic third-order topological insulator. Phys. Rev. Lett. 122, 244301 (2019).10.1103/PhysRevLett.122.244301 ↗
83. Zhang, X. et al. Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals. Nat. Commun. 10, 5331 (2019).10.1038/s41467-019-13333-9 ↗
84. Zhang, Z. et al. Deep-subwavelength holey acoustic second-order topological insulators. Adv. Mater. 31, 1904682 (2019).10.1002/adma.201904682 ↗
85. Weiner, M., Ni, X., Li, M., Alù, A. & Khanikaev, A. B. Demonstration of a third-order hierarchy of topological states in a three-dimensional acoustic metamaterial. Sci. Adv. 6, eaay4166 (2020).10.1126/sciadv.aay4166 ↗
86. Zhang, X. et al. Symmetry-protected hierarchy of anomalous multipole topological band gaps in nonsymmorphic metacrystals. Nat. Commun. 11, 65 (2020).10.1038/s41467-019-13861-4 ↗
87. Ni, X., Li, M., Weiner, M., Alù, A. & Khanikaev, A. B. Demonstration of a quantized acoustic octupole topological insulator. Nat. Commun. 11, 2108 (2020).10.1038/s41467-020-15705-y ↗
88. Xue, H. et al. Observation of an acoustic octupole topological insulator. Nat. Commun. 11, 2442 (2020).10.1038/s41467-020-16350-1 ↗
89. Qi, Y. et al. Acoustic realization of quadrupole topological insulators. Phys. Rev. Lett. 124, 206601 (2020).10.1103/PhysRevLett.124.206601 ↗
90. Yang, Z.-Z., Peng, Y.-Y., Li, X., Zou, X.-Y. & Cheng, J.-C. Boundary-dependent corner states in topological acoustic resonator array. Appl. Phys. Lett. 117, 113501 (2020).10.1063/5.0017503 ↗
91. Meng, F., Chen, Y., Li, W., Jia, B. & Huang, X. Realization of multidimensional sound propagation in 3D acoustic higher-order topological insulator. Appl. Phys. Lett. 117, 151903 (2020).10.1063/5.0023033 ↗
92. Zheng, S. et al. Three-dimensional higher-order topological acoustic system with multidimensional topological states. Phys. Rev. B 102, 104113 (2020).10.1103/PhysRevB.102.104113 ↗
93. Yan, M. et al. Acoustic square-root topological states. Phys. Rev. B 102, 180102 (2020).10.1103/PhysRevB.102.180102 ↗
94. Huang, X. et al. Acoustic higher-order topology derived from first-order with built-in Zeeman-like fields. Sci. Bull. 67, 488–494 (2022).10.1016/j.scib.2021.11.020 ↗
95. Zhang, X., Liu, L., Lu, M.-H. & Chen, Y.-F. Valley-selective topological corner states in sonic crystals. Phys. Rev. Lett. 126, 156401 (2021).10.1103/PhysRevLett.126.156401 ↗
96. Yang, Y. et al. Hybrid-order topological insulators in a phononic crystal. Phys. Rev. Lett. 126, 156801 (2021).10.1103/PhysRevLett.126.156801 ↗
97. Zheng, L.-Y. & Christensen, J. Dirac hierarchy in acoustic topological insulators. Phys. Rev. Lett. 127, 156401 (2021).10.1103/PhysRevLett.127.156401 ↗
98. Ezawa, M. Higher-order topological insulators and semimetals on the breathing kagome and pyrochlore lattices. Phys. Rev. Lett. 120, 026801 (2018).10.1103/PhysRevLett.120.026801 ↗
99. Ezawa, M. Minimal models for Wannier-type higher-order topological insulators and phosphorene. Phys. Rev. B 98, 045125 (2018).10.1103/PhysRevB.98.045125 ↗
100. Xie, B.-Y. et al. Second-order photonic topological insulator with corner states. Phys. Rev. B 98, 205147 (2018).10.1103/PhysRevB.98.205147 ↗