The DOI matches its Crossref record; 143 of the 143 references it cites were found in a registry or an index.
Topological phases in acoustic and mechanical systems
Open accessAbstract
The study of classical wave physics has been reinvigorated by incorporating the concept of the geometric phase, which has its roots in optics, and topological notions that were previously explored in condensed matter physics. Recently, sound waves and a variety of mechanical systems have emerged as excellent platforms that exemplify the universality and diversity of topological phases. In this Review, we introduce the essential physical concepts that underpin various classes of topological phenomena realized in acoustic and mechanical systems: Dirac points, the quantum Hall, quantum spin Hall and valley Hall effects, Floquet topological phases, 3D gapless states and Weyl crystals. This Review describes topological phenomena that can be realized in acoustic and mechanical systems. Methods of symmetry breaking are described, along with the consequences and rich phenomena that emerge.
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Cites
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
Experimental observation of the quantum Hall effect and Berry's phase in graphene
Zhang, Y., Tan, Y.-W., Stormer, H. L., & Kim, P. (2005) · Nature · doi:10.1038/nature04235 · Cited by 13,435
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
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
Klitzing, K. V., Dorda, G., & Pepper, M. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.494 · Cited by 7,119
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
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
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
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151
Unpaired Majorana fermions in quantum wires
Kitaev, A. Y. (2001) · Physics-Uspekhi · doi:10.1070/1063-7869/44/10s/s29 · Cited by 4,770
Research works printed but not linked: 11
- Martinez-Sala, R. et al. Sound attenuation by sculpture. Nature 378, 241–241 (1995). · doi:10.1038/378241a0
- Montero de Espinosa, F. R., Jiménez, E. & Torres, M. Ultrasonic band gap in a periodic two-dimensional composite. Phys. Rev. Lett. 80, 1208–1211 (1998). · doi:10.1103/physrevlett.80.1208
- Wang, S., Ma, G. & Chan, C. T. Topological transport of sound mediated by spin-redirection geometric phase. Sci. Adv. 4, eaaq1475 (2018).
- 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). · doi:10.1103/physrevlett.79.3170
- Souslov, A., van Zuiden, B. C., Bartolo, D. & Vitelli, V. Topological sound in active-liquid metamaterials. Nat. Phys. 13, 1091–1094 (2017). · DOI
- Miniaci, M., Pal, R. K., Morvan, B. & Ruzzene, M. Experimental observation of topologically protected helical edge modes in patterned elastic plates. Phys. Rev. X 8, 031074 (2018).
- Liu, T., Zheng, S., Dai, H., Yu, D. & Xia, B. Acoustic semimetal with Weyl points and surface states. Preprint atarXiv https://arxiv.org/abs/1803.04284 (2018). · arXiv
- Xiao, M. & Fan, S. Topologically charged nodal surface. Preprint at arXiv https://arxiv.org/abs/1709.02363 (2017). · arXiv
- Zhang, X., et al Acoustic hierarchical topological insulators. Preprint at arXiv https://arxiv.org/abs/1811.05514 (2018). · arXiv
- Aubry, S. & André, G. Analyticity breaking and anderson localization in incommensurate lattices. Ann. Isr. Phys. Soc. 3, 18 (1980).
- Chan, C. T., Hang, Z. H. & Huang, X. Dirac dispersion in two-dimensional photoniccrystals. Adv. Optoelectron. 2012, 11 (2012).
Cited by
Transforming heat transfer with thermal metamaterials and devices
Li, Y., Li, W., Han, T., Zheng, X., Li, J., Li, B., Fan, S., & Qiu, C.-W. (2021) · Nature Reviews Materials · doi:10.1038/s41578-021-00283-2 · Cited by 676
Acoustic non-Hermitian skin effect from twisted winding topology
Zhang, L., Yang, Y., Ge, Y., Guan, Y.-J., Chen, Q., Yan, Q., Chen, F., Xi, R., Li, Y., Jia, D., et al. (2021) · Nature Communications · doi:10.1038/s41467-021-26619-8 · Cited by 363
Shankar, S., Souslov, A., Bowick, M. J., Marchetti, M. C., & Vitelli, V. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00445-3 · Cited by 359
Higher-Order Topological Corner States Induced by Gain and Loss
Luo, X.-W., & Zhang, C. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.073601 · Cited by 283
A review on non-Hermitian skin effect
Zhang, X., Zhang, T., Lu, M.-H., & Chen, Y.-F. (2022) · Advances in Physics: X · doi:10.1080/23746149.2022.2109431 · Cited by 267
Metadata
- Authors
- Ma, G., Xiao, M., & Chan, C. T.
- Venue
- Nature Reviews Physics
- Published
- 2019-03-01
- Volume
- 1
- Issue
- 4
- Pages
- 281-294
- ISSN
- 2522-5820 (ISSN-L)
- OpenAlex
- W2919368806
- Cited by
- 830
- References
- 143
- FWCI
- 4.95
- Type
- journal article
- Language
- en
- Update notices
- correction (2019-04-15)
- Open access
- hybrid
- Licence
- www.springernature.com/gp/researchers/text-and-data-mining (tdm)
- www.springernature.com/gp/researchers/text-and-data-mining (vor)
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