空间盘绕型声学超材料的亚波长拓扑谷自旋态

郑圣洁; 夏百战; 刘亭亭; 于德介

doi:10.7498/aps.66.228101

摘要

声子晶体的Dirac线性色散关系，使其具有奇特的声拓扑特性，在声波控制领域具有良好的应用前景.目前，声子晶体的拓扑边缘态主要基于Bragg散射所产生的能带结构，难以实现低频声波的受拓扑保护单向边缘传输.本文引入空间盘绕结构，设计了具有C3v对称性的空间盘绕型声学超材料，并研究其布里渊区高对称点（K/K'点）的亚波长Dirac锥形线性色散.接着，通过旋转打破空间盘绕型声学超材料的镜像对称性，使其Dirac简并锥裂开而产生亚波长拓扑相变和亚波长拓扑谷自旋态.最后，采用拓扑相位互逆的声学超材料构造拓扑界面，实现声拓扑谷自旋传输.空间盘绕型声学超材料的亚波长Dirac线性色散与亚波长拓扑谷自旋态突破了声子拓扑绝缘体的几何尺寸限制，为声拓扑稳健传输在低频段的应用提供理论基础.

关键词:

Abstract

Phononic crystals possess Dirac linear dispersion bands. In the vicinity of Dirac cones, phononic crystals exhibit topological properties which have good application prospects in control of acoustic waves. Up to now, the topological edge states of phononic crystals, based on the band structures arising from the Bragg scattering, cannot realize low-frequency sound waves by the topologically protected one-way edge transmission. In this paper, by introducing the space-coiling structure, a space-coiling phononic metamaterial with C3v symmetry is designed. At the K (K') points of the Brillouin zone, the bands linearly cross to a subwavelength Dirac degenerated cones. With a rotation of the acoustic metamaterials, the mirror symmetry will be broken and the Dirac degenerated cones will be reopened, leading to subwavelength topological phase transition and subwavelength topological valley-spin states. Lastly, along the topological interface between acoustic metamaterials with different topological valley-spin states, we successfully observe the phononic topologically valley-spin transmission. The subwavelength Dirac conical dispersion and the subwavelength topological valley-spin state breakthrough the limitation of the geometric dimension of the phononic topological insulator, and provide a theoretical basis for the application of the phononic topologically robust transmission in a subwavelength scale.

Keywords:

作者及机构信息

1.
湖南大学, 汽车车身先进设计制造国家重点实验室, 长沙 410082

通信作者: 夏百战, xiabz2013@hnu.edu.cn

Authors and contacts

1.
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China

Corresponding author: Xia Bai-Zhan, xiabz2013@hnu.edu.cn

参考文献

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[43]	Liu J, Li L P, Xia B Z, Man X F 2017 Int. J. Solids. Struct. (Accept)

施引文献

[1]	Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[2]	Bernevig B A, Hughes T L, Zhang S C 2006 Science 314 1757
[3]	Lu L, Joannopoulos J D, Soljaclc M 2014 Nat. Photon. 8 821
[4]	Wang Z, Chong Y D, Joannopoulos J D, Soljacic M 2009 Nature 461 772
[5]	Poo Y, Wu R X, Lin Z F, Yang Y, Chan C T 2011 Phys. Rev. Lett. 106 093903
[6]	Fang K J, Yu Z F, Fan S H 2012 Nat. Photon. 6 782
[7]	Hafezi M, Mittal S, Fan J, Migdall A, Taylor J M 2013 Nat. Photon. 7 1001
[8]	Khanikaev A B, Mousavi S H, Tse W K, Kargarian M, MacDonald A H, Shvets G 2013 Nat. Mater. 12 233
[9]	Wu L H, Hu X 2015 Phys. Rev. Lett. 114 223901
[10]	Fang K J, Fan S H 2013 Phys. Rev. Lett. 111 203901
[11]	Bandres M A, Rechtsman M C, Segev M 2016 Phys. Rev. X 6 011016
[12]	Cheng X, Jouvaud C, Ni X, Mousavi S H, Genack A Z, Khanikaev A B 2016 Nat. Mater. 15 542
[13]	Ma T, Khanikaev A B, Mousavi S H, Shvets G 2015 Phys. Rev. Lett. 114 127401
[14]	Wolfe J P 2005 Imaging Phonons: Acoustic Wave Propagation in Solids (New York: Cambridge University Press)
[15]	Johnson S G，Povinelli M L, Soljacic M, Karalis A, Jacobs S, Joannopoulos J D 2005 Appl. Phys. B: Lasers O. 81 283
[16]	Ssstrunk R, Huber S D 2016 Proc. Natl. Acad. Sci. USA 113 E4767
[17]	Nash L M, Kleckner D, Read A, Vitelli V, Turner A M, Irvine W T M 2015 Proc. Natl. Acad. Sci. USA 112 14495
[18]	Ong Z Y, Lee C H 2016 Phys. Rev. B 94 134203
[19]	Fleury R, Sounas D L, Sieck C F, Haberman M R, Alù A 2014 Science 343 516
[20]	Yang Z, Gao F, Shi X H, Lin X, Gao Z, Chong Y D, Zhang B 2015 Phys. Rev. Lett. 114 114301
[21]	Peng Y G, Qin C Z, Zhao D G, Shen Y X, Xu X Y, Bao M, Jia H, Zhu X F 2016 Nat. Commum. 7 13368
[22]	Chen Z G, Wu Y 2016 Phys. Rev. Appl. 5 054021
[23]	He C, Li Z, Ni X, Sun X C, Yu S Y, Lu M H, Liu X P, Chen Y F 2016 Appl. Phys. Lett. 108 031904
[24]	Fleury R, Khanikaev A B, Alù A 2016 Nat. Commun. 7 11744
[25]	Wei Q, Tian Y, Zuo S Y, Cheng Y, Liu X J 2017 Phys. Rev. B 95 094305
[26]	Lu J Y, Qiu C Y, Xu S J, Ye Y T, Ke M Z, Liu Z Y 2014 Phys. Rev. B 89 134302
[27]	Chen Z G, Ni X, Wu Y, He C, Sun X C, Zheng L Y, Lu M H, Chen Y F 2014 Sci. Rep. 4 4613
[28]	Li Y, Wu Y, Mei J 2014 Appl. Phys. Lett. 105 014107
[29]	Dai H Q, Liu T T, Jiao J R, Xia B Z, Yu D J 2017 J. Appl. Phys. 121 135105
[30]	Xiao M, Ma G C, Yang Z Y, Sheng P, Zhang Z Q, Chan C T 2015 Nat. Phys. 11 240
[31]	He C, Ni X, Ge H, Sun X C, Chen Y B, Lu M H, Liu X P, Chen Y F 2016 Nat. Phys. 12 1124
[32]	Lu J Y, Qiu C Y, Ye L P, Fan X Y, Ke M Z, Zhang F, Liu Z Y 2017 Nat. Phys. 13 369
[33]	Lu J Y, Qiu C Y, Ke M Z, Liu Z Y 2016 Phys. Rev. Lett. 116 093901
[34]	Ye L P, Qiu C Y, Lu J Y, Wen X H, Shen Y Y, Ke M Z, Zhang F, Liu Z Y 2017 Phys. Rev. B 95 174106
[35]	Zhang Z W, Wei Q, Cheng Y, Zhang T, Wu D J, Liu X J 2017 Phys. Rev. Lett. 118 084303
[36]	Xia B Z, Liu T T, Huang G L, Dai H Q, Jiao J R, Zang X G, Yu D J, Zheng S J, Liu J 2017 Phys. Rev. B 96 094106
[37]	Mei J, Chen Z G, Wu Y 2016 Sci. Rep. 6 32752
[38]	Skirlo S A, Lu L, Soljacic M 2014 Phys. Rev. Lett. 113 113904
[39]	He W Y, Chan C T 2015 Sci. Rep. 5 8186
[40]	Xia B Z, Zheng S J, Chen N, Liu T T, Jiao J R, Dai H Q, Yu D J, Liu J 2017 arXiv preprint arXiv:1706.08206
[41]	Simon Y, Fleury R, Lemoult F, Fink M, Lerosey G 2017 New J. Phys. 19 075003
[42]	Xia B Z, Li L P, Liu J, Yu D J 2017 J. Vib. Acoust. 140 011011
[43]	Liu J, Li L P, Xia B Z, Man X F 2017 Int. J. Solids. Struct. (Accept)

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