-
Underwater acoustics has wide applications in underwater communications, underwater positioning, underwater navigation, and so on. Inspired by the concept of topological physics, the study of topological states in waterborne phononic crystals provides a brand-new way for innovative control of underwater waves, which has both basic research value and important application prospects. In this work, we design a one-dimensional bilayer iron grid waterborne phononic crystal to realize a synthetic two-dimensional Dirac point by considering the relative lateral translation between the two layers as a synthetic dimension. Through changing the relative lateral translation, the double degenerate band opens a gap, which is characterized by the valley Chern number. As the band gap opens, closes and reopens, the bulk band undergoes a band inversion, that is, a topological phase transition from one valley topological phase to another. At the interface formed by two phononic crystals with distinct valley topological phases, the valley Chen number ensures the deterministic existence of the interface state. Experimental measurements are in good agreement with numerical simulations, both showing the bulk bands of waterborne phononic crystals at different valley topological phases and the interface state dispersion between them. The waterborne phononic crystal proposed in this work hosts a simple structure. With the help of the concept of synthetic dimension, it provides an effective way to study the topological properties of high-dimensional systems in low-dimensional real space systems, and offers new ideas for the design of topological functional underwater acoustic devices. In addition, we can expand the real space system to two or even three dimensions, and introduce more synthetic dimensions to study the topological states and associated transport characteristics of higher-dimensional systems.
-
Keywords:
- waterborne phononic crystal /
- synthetic dimension /
- Dirac point /
- interface state
-
[1] Sigalas M M, Economou E N 1992 J. Sound Vib. 158377
[2] Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 712022
[3] Yang S, Page J H, Liu Z, Cowan M L, Chan C T, Sheng P 2004 Phys. Rev. Lett. 93024301
[4] Zhang X, Liu Z 2004 Appl. Phys. Lett. 85341
[5] Zhang S, Xia C, Fang N 2011 Phys. Rev. Lett. 106024301
[6] Mei J, Ma G, Yang M, Yang Z, Wen W, Sheng P 2012 Nat. Commun. 3756
[7] Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 823045
[8] Qi X L, Zhang S C 2011 Rev. Mod. Phys. 831057
[9] Wieder B J, Bradlyn B, Cano J, Wang Z, Vergniory M G, Elcoro L, Soluyanov A A, Felser C, Neupert T, Regnault N, Bernevig B A 2021 Nat. Rev. Mater. 7196
[10] Lodge M S, Yang S A, Mukherjee S, Weber B 2021 Adv. Mater. 332008029
[11] Gilbert M J 2021 Commun. Phys. 470
[12] Bernevig B A, Felser C, Beidenkopf H 2022 Nature 60341
[13] Chang C Z, Liu C X, MacDonald A H 2022 Rev. Mod. Phys. 95011002
[14] He Q L, Hughes T L, Armitage N P, Tokura Y, Wang K L 2022 Nat. Mater. 2115
[15] Zhang X, Xiao M, Cheng Y, Lu M H, Christensen J 2018 Commun. Phys. 197
[16] Ma G, Xiao M, and Chan C T 2019 Nat. Rev. Phys. 1281
[17] Xue H, Yang Y, Zhang B 2022 Nat. Rev. Mater. 7974
[18] Yves S, Ni X, and Alu A 2022 Ann. New York Acad. Sci. 151763
[19] Lu J, Qiu C, Ke M, Liu Z 2016 Phys. Rev. Lett. 116093901
[20] Lu J, Qiu C, Ye L, Fan X, Ke M, Zhang F, Liu Z 2017 Nat. Phys. 13369
[21] Gao F, Xue H, Yang Z, Lai K, Yu Y, Lin X, Chong Y, Shvets G, Zhang B 2018 Nat. Phys. 14140
[22] Zhang Z, Tian Y, Wang Y, Gao S, Cheng Y, Liu X, Christensen J 2018 Adv. Mater. 301803229
[23] Yan M, Lu J, Li F, Deng W, Huang X, Ma J, Liu Z 2018 Nat. Mater. 17993
[24] Zhu Z, Huang X, Lu J, Yan M, Li F, Deng W, Liu Z 2019 Phys. Rev. Appl. 12024007
[25] Wu S, Wu Y, Mei J 2018 New J. Phys. 20023051
[26] Wu X, Fan H, Liu T, Gu Z, Zhang R Y, Zhu J, Zhang X 2022 Nat. Commun. 136120
[27] Shen Y, Qiu C, Cai X, Ye L, Lu J, Ke M, Liu Z 2019 Appl. Phys. Lett. 114023501
[28] Wang W, Chen Z G, Ma G 2021 Phys. Rev. Lett. 127214302
[29] Liu J J, Li Z W, Chen Z G, Tang W, Chen A, Liang B, Ma G, Cheng J C 2022 Phys. Rev. Lett. 129084301
[30] Chen H, Zhang H, Wu Q, Huang Y, Nguyen H, Prodan E, Zhou X, Huang G 2021 Nat. Commun. 125028
Metrics
- Abstract views: 146
- PDF Downloads: 1
- Cited By: 0
下载:
