Subwavelength topological valley-spin states in the space-coiling acoustic metamaterials

Zheng Sheng-Jie; Xia Bai-Zhan; Liu Ting-Ting; Yu De-Jie

doi:10.7498/aps.66.228101

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:

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

References

[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)

Cited By

[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)

[1]	Jiang Jing, Wang Xiao-Yun, Kong Peng, Zhao He-Ping, He Zhao-Jian, Deng Ke. Dislocation defect states in acoustic quadrupole topological insulators. Acta Physica Sinica, 2024, 73(15): 154302. doi: 10.7498/aps.73.20240640
[2]	Liu Zhao. Fractionalized topological states in moiré superlattices. Acta Physica Sinica, 2024, 73(20): 207303. doi: 10.7498/aps.73.20241029
[3]	Zhang Jie, Chen Ai-Xi, Peng Ze-An. Spatially oriented correlated emission based on selective drive of diatomic superradiance states. Acta Physica Sinica, 2024, 73(14): 144202. doi: 10.7498/aps.73.20240521
[4]	Liu Li-Shuo, Chen Wei. Spin-dependent scattering induced by surface states in spin-degenerate nodal-line semimetal. Acta Physica Sinica, 2023, 72(17): 177202. doi: 10.7498/aps.72.20230811
[5]	Li Yin-Ming, Kong Peng, Bi Ren-Gui, He Zhao-Jian, Deng Ke. Valley topological states in double-surface periodic elastic phonon crystal plates. Acta Physica Sinica, 2022, 71(24): 244302. doi: 10.7498/aps.71.20221292
[6]	Hu Jun-Rong, Kong Peng, Bi Ren-Gui, Deng Ke, Zhao He-Ping. Topological corner states in acoustic honeycomb structure. Acta Physica Sinica, 2022, 71(5): 054301. doi: 10.7498/aps.71.20211848
[7]	Xu Ping, Xiao Yu-Fei, Huang Hai-Xuan, Yang Tuo, Zhang Xu-Lin, Yuan Xia, Li Xiong-Chao, Wang Meng-Yu, Xu Hai-Dong. A new method of implementing simultaneous multiplexing holographic display of wavelength and polarization state with simple structure metasurface. Acta Physica Sinica, 2021, 70(8): 084201. doi: 10.7498/aps.70.20201047
[8]	Tan Cong-Bing, Zhong Xiang-Li, Wang Jin-Bin. Polar topological structures in ferroelectric materials. Acta Physica Sinica, 2020, 69(12): 127702. doi: 10.7498/aps.69.20200311
[9]	Fang Yun-Tuan, Wang Zhang-Xin, Fan Er-Pan, Li Xiao-Xue, Wang Hong-Jin. Topological phase transition based on structure reversal of two-dimensional photonic crystals and construction of topological edge states. Acta Physica Sinica, 2020, 69(18): 184101. doi: 10.7498/aps.69.20200415
[10]	Cai Cheng-Xin, Chen Shao-Geng, Wang Xue-Mei, Liang Jun-Yan, Wang Zhao-Hong. Phononic band structure and figure of merit of three-dimensional anisotropic asymmetric double-cone pentamode metamaterials. Acta Physica Sinica, 2020, 69(13): 134302. doi: 10.7498/aps.69.20200364
[11]	Jiang Cong-Ying, Sun Fei, Feng Zi-Li, Liu Shi-Bing, Shi You-Guo, Zhao Ji-Min. Time-resolved ultrafast dynamics in triple degenerate topological semimetal molybdenum phosphide. Acta Physica Sinica, 2020, 69(7): 077801. doi: 10.7498/aps.69.20191816
[12]	Qin Kang, Yuan Lie-Rong, Tan Jun, Peng Sheng, Wang Qian-Jin, Zhang Xue-Jin, Lu Yan-Qing, Zhu Yong-Yuan. Surface-enhanced Raman scattering of subwavelength metallic structures. Acta Physica Sinica, 2019, 68(14): 147401. doi: 10.7498/aps.68.20190458
[13]	Ding Chang-Lin, Dong Yi-Bao, Zhao Xiao-Peng. Research advances in acoustic metamaterials and metasurface. Acta Physica Sinica, 2018, 67(19): 194301. doi: 10.7498/aps.67.20180963
[14]	Zhang Xin-Cheng, Liao Wen-Hu, Zuo Min. Electronic structure and spin/valley transport properties of monolayer MoS2 under the irradiation of the off-resonant circularly polarized light. Acta Physica Sinica, 2018, 67(10): 107101. doi: 10.7498/aps.67.20180213
[15]	Hou Hai-Yan, Yao Hui, Li Zhi-Jian, Nie Yi-Hang. Valley and spin polarization manipulated by electric field in magnetic silicene superlattice. Acta Physica Sinica, 2018, 67(8): 086801. doi: 10.7498/aps.67.20180080
[16]	Zhao Bin. Spherical Dirac equation on the lattice and the problem of the spurious states. Acta Physica Sinica, 2016, 65(5): 052401. doi: 10.7498/aps.65.052401
[17]	Liang Gao-Feng, Zhao Qing, Chen Xin, Wang Chang-Tao, Zhao Ze-Yu, Luo Xian-Gang. Research of subwavelength grating based on multilayer films structure. Acta Physica Sinica, 2012, 61(10): 104203. doi: 10.7498/aps.61.104203
[18]	Feng Xiu-Qin, Yao Zhi-Hai, Tian Zuo-Lin, Han Xiu-Yu. Controlling hyperchaos and periodic state synchronization of degenerate optical parametric oscillators. Acta Physica Sinica, 2010, 59(12): 8414-8419. doi: 10.7498/aps.59.8414
[19]	Li Min, Zhang Zhi-You, Shi Sha, Du Jing-Lei. Optimization and analysis of the structural parameters of subwavelength metal focusing lens. Acta Physica Sinica, 2010, 59(2): 958-963. doi: 10.7498/aps.59.958
[20]	Ding Chang-Lin, Zhao Xiao-Peng. Audible sound metamaterial. Acta Physica Sinica, 2009, 58(9): 6351-6355. doi: 10.7498/aps.58.6351

Catalog

Vol. 66, Issue 22 - 2017-11-20

Metrics

Abstract views: 8182
PDF Downloads: 562
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板