Skip to main content
SpringerLink
Log in

Valley edge states and chiral selective transport in reconfigurable phononic crystals

  • Regular Article - Solid State and Materials
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

Valley topological edge state has been extended from condensed matter physics to acoustics and rapidly developed, in which one-way propagation in valley topological phononic crystal is achieved breaking the spatial reversal symmetry. Here, we present a 2D hexagonal lattice phononic crystal with the reconfigurable scatters composed of three rectangle rods. By rotating its three-legged rods, two distinct valley edge states can be realised and the valley Hall topological transition phase also is triggered. We numerically simulate the projected band structures of the supercells including zigzag and armchair interface and verify the existence of valley edge states. We demonstrate the acoustic topological transport in the straight interface and sharply curved path. Then, in an across-interface, acoustic splitting and emerging are also observed. Furthermore, we design the complicated interfaces constructed by phononic crystals with distinct valley Hall topological phase. We verify the chiral selective transports in the oriented interface if the excited point source positioned at different interfaces. The chiral selective valley topological propagation of acoustic wave provides many potential applications in designing acoustic switch, splitter and acoustic waveguide.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Data availability

The data that support the plots within this paper and other findings of this study are available from the corresponding author upon reasonable request.

References

  1. B.A. Bernevig, T.L. Hughes, S.C. Zhang, Science 314, 1757 (2006)

    ADS  Google Scholar 

  2. P. Wang, L. Lu, K. Bertoldi, Phys. Rev. Lett. 115, 104302 (2015)

    ADS  Google Scholar 

  3. Z. Zhang, Y. Tian, Y. Wang, S. Gao, Y. Cheng, X. Liu, J. Christensen, Adv. Mater. 30, 1803229 (2018)

    Google Scholar 

  4. Z. Wang, Y. Yang, H. Li, H. Jia, J. Luo, J. Huang, Z. Wang, B. Jiang, N. Yang, G. Jin, H. Yang, Phys. Rev. Appl. 15, 024019 (2021)

    ADS  Google Scholar 

  5. N. Lera, D. Torrent, P. San-Jose, J. Christensen, J.V. Alvarez, Phys. Rev. B 99, 134102 (2019)

    ADS  Google Scholar 

  6. C. Brendel, V. Peano, O. Painter, F. Marquardt, Phys. Rev. B 97, 020102 (2018)

    ADS  Google Scholar 

  7. Y. Yang, Z. Gao, X. Feng, Y.X. Huang, P. Zhou, S.A. Yang, Y. Chong, B. Zhang, Phys. Rev. Lett. 125, 143001 (2020)

    ADS  Google Scholar 

  8. G.Q. Liang, Y.D. Chong, Phys. Rev. Lett. 110, 203904 (2013)

    ADS  Google Scholar 

  9. Y. Kang, X. Ni, X. Cheng, A.B. Khanikaev, A.Z. Genack, Nat. Commun. 9, 3029 (2018)

    ADS  Google Scholar 

  10. M. Kim, Y. Kim, J. Rho, N. J. Phys. 22, 113022 (2020)

    Google Scholar 

  11. H. Wang, H. Chen, J. Jiang, G. Guo, J. Appl. Phys. 126, 193105 (2019)

    ADS  Google Scholar 

  12. S. Barik, H. Miyake, W. DeGottardi, E. Waks, M. Hafezi, N. J. Phys. 18, 113013 (2016)

    Google Scholar 

  13. P. Gao, Z. Zhang, J. Christensen, Phys. Rev. B 101, 020301 (2020)

    ADS  Google Scholar 

  14. L. Zheng, J. Christensen, Phys. Rev. B 103, 064307 (2021)

    ADS  Google Scholar 

  15. J. Lu, C. Qiu, W. Deng, X. Huang, F. Li, F. Zhang, S. Chen, Z. Liu, Phys. Rev. Lett. 120, 116802 (2018)

    ADS  Google Scholar 

  16. Z. Chen, G. Wang, W. Zhou, C.W. Lim, I. J. Mech. Sci. 194, 106215 (2021)

    Google Scholar 

  17. Z. Zheng, J. Yin, J. Wen, D. Yu, Appl. Phys. Lett. 120, 144101 (2022)

    ADS  Google Scholar 

  18. A. Darabi, M.J. Leamy, J. Acoust. Soc. Am. 146, 773 (2019)

    ADS  Google Scholar 

  19. H. Huang, S. Huo, J. Chen, Int. J. Mech. Sci. 198, 106391 (2021)

    Google Scholar 

  20. Z.G. Chen, X. Ni, Y. Wu, C. He, X.C. Sun, L.Y. Zheng, M.H. Lu, Y.F. Chen, Sci. Rep. 4, 4613 (2014)

    Google Scholar 

  21. Z. Zhang, H. Long, C. Liu, C. Shao, Y. Cheng, X. Liu, J. Christensen, Adv. Mater. 31, e1904682 (2019)

    Google Scholar 

  22. W. Yuan, J. Zhao, Y. Long, J. Ren, Z. Zhong, Int. J. Mech. Sci. 197, 106347 (2021)

    Google Scholar 

  23. Y. Jin, W. Zhong, R. Cai, X. Zhuang, Y. Pennec, B. Djafari-Rouhani, Appl. Phys. Lett. 121, 022202 (2022)

    ADS  Google Scholar 

  24. Z. Wen, S. Zeng, D. Wang, Y. Jin, B. Djafari-Rouhani, Extr. Mech. Lett. 44, 101209 (2021)

    Google Scholar 

  25. S. Yu, J. Wang, X. Sun, F. Liu, C. He, H. Xu, M. Lu, J. Christensen, X. Liu, Y. Chen, Phys. Rev. Appl. 14, 064008 (2020)

    ADS  Google Scholar 

  26. Z. Wen, Y. Jin, P. Gao, X. Zhuang, T. Rabczuk, B. Djafari-Rouhani, Mech. Sys. Sign. Proc. 162, 108047 (2022)

    Google Scholar 

  27. W. Wang, B. Bonello, B. Djafari-Rouhani, Y. Pennec, Phys. Rev. B 100, 140101 (2019)

    ADS  Google Scholar 

  28. Z. Chen, Y. Wu, Phys. Rev. Appl. 5, 054021 (2016)

    ADS  Google Scholar 

  29. Z. Yang, F. Gao, X. Shi, X. Lin, Z. Gao, Y. Chong, B. Zhang, Phys. Rev. Lett. 114, 114301 (2015)

    ADS  Google Scholar 

  30. C. He, H.S. Lai, B. He, S.Y. Yu, X. Xu, M.H. Lu, Y.F. Chen, Nat. Commun. 11, 2318 (2020)

    ADS  Google Scholar 

  31. L.Y. Zheng, J. Christensen, Phys. Rev. Lett. 127, 156401 (2021)

    ADS  Google Scholar 

  32. Z. Zhang, L.M. Rosendo, Y. Cheng, X. Liu, J. Christensen, Phys. Rev. Lett. 122, 195501 (2019)

    ADS  Google Scholar 

  33. M. Chen, W. Xu, Y. Liu, M. Zhang, D. Pei, H. Jiang, Y. Wang, J. Acoust. Soc. Am. 146, 767 (2019)

    ADS  Google Scholar 

  34. L. Yu, H. Xue, B. Zhang, J. Appl. Phys. 129, 235103 (2021)

    ADS  Google Scholar 

  35. Z. Zhang, B. Hu, F. Liu, Y. Cheng, X. Liu, J. Christensen, Phys. Rev. B 101, 220102 (2020)

    ADS  Google Scholar 

  36. C. He, X. Ni, H. Ge, X. Sun, Y. Chen, M. Lu, X. Liu, Y. Chen, Nat. Phys. 12, 1124 (2016)

    Google Scholar 

  37. Y. Deng, M. Lu, Y. Jing, AIP Adv. 146, 5115017 (2019)

    Google Scholar 

  38. W. Wang, J. Iglesias, Y. Jin, B. Djafari-Rouhani, A. Khelif, APL Mater. 9, 051125 (2021)

    ADS  Google Scholar 

  39. Z. Zhang, Y. Tian, Y. Cheng, X. Liu, J. Christensen, Phys. Rev. B 96, 241306 (2017)

    ADS  Google Scholar 

  40. C. Brendel, V. Peano, O.J. Painter, F. Marquardt, Proc. Natl. Acad. Sci. U.S.A. 114, E3390 (2017)

    ADS  Google Scholar 

  41. S. Zheng, B. Xia, T. Liu, D. Yu, Acta Phys. Sin. 66, 228101 (2017)

    Google Scholar 

  42. A.B. Khanikaev, R. Fleury, S.H. Mousavi, A. Alu, Nat. Commun. 6, 8260 (2015)

    ADS  Google Scholar 

  43. X. Zhang, M. Xiao, Y. Cheng, M.H. Lu, J. Christensen, Commun. Phys. 1, 97 (2018)

    Google Scholar 

  44. S.Y. Huo, J.J. Chen, H.B. Huang, G.L. Huang, Sci. Rep. 7, 10335 (2017)

    ADS  Google Scholar 

  45. J. Lu, C. Qiu, M. Ke, Z. Liu, Phys. Rev. Lett. 116, 093901 (2016)

    ADS  Google Scholar 

  46. M. Wang, W. Zhou, L. Bi, C. Qiu, M. Ke, Z. Liu, Nat. Commun. 11, 3000 (2020)

    ADS  Google Scholar 

  47. J. Lu, C. Qiu, L. Ye, X. Fan, M. Ke, F. Zhang, Z. Liu, Nat. Phys. 13, 369 (2016)

    Google Scholar 

  48. L. Ye, C. Qiu, J. Lu, X. Wen, Y. Shen, M. Ke, F. Zhang, Z. Liu, Phys. Rev. B 95, 174106 (2017)

    ADS  Google Scholar 

  49. X. Han, L. Li, Y. Hu, L. Ling, Z. Geng, Y. Peng, D. Zhao, X. Zhu, X. Wang, Phys. Rev. Appl. 14, 024091 (2020)

    ADS  Google Scholar 

  50. Y. Shen, C. Qiu, X. Cai, L. Ye, J. Lu, M. Ke, Z. Liu, Appl. Phys. Lett. (2019). https://doi.org/10.1063/1.5049856

    Article  Google Scholar 

  51. Z. Zhang, Y. Gu, H. Long, Y. Cheng, X. Liu, J. Christensen, Research (Wash D C) 2019, 711 (2019)

    Google Scholar 

  52. C.W. Chen, R. Chaunsali, J. Christensen, G. Theocharis, J. Yang, Commun. Mater. 2, 62 (2021)

    Google Scholar 

  53. Y. Deng, H. Ge, Y. Tian, M. Lu, Y. Jing, Phys. Rev. B 96, 184305 (2017)

    ADS  Google Scholar 

  54. W. Xiong, P. Gao, Z. Zhang, Z. Yue, H. Zhang, Y. Cheng, X. Liu, J. Christensen, Phys. Rev. B 104, 224108 (2021)

    ADS  Google Scholar 

  55. J. Wang, J. Mei, Appl. Phys. Expr. 11, 057302 (2018)

    ADS  Google Scholar 

  56. M. Wang, L. Ye, J. Christensen, Z. Liu, Phys. Rev. Lett. 120, 246601 (2018)

    ADS  Google Scholar 

  57. H. Jiang, M. Chen, Y. Liu, T. Yang, W. Xu, Y. Liu, M. Zhang, Y. Wang, J. Acoust. Soc. Am. 146, 736 (2019)

    ADS  Google Scholar 

  58. Z. Tian, C. Shen, J. Li, E. Reit, H. Bachman, J.E.S. Socolar, S.A. Cummer, T. Jun-Huang, Nat. Commun. 11, 762 (2020)

    ADS  Google Scholar 

  59. M. Yan, J. Lu, F. Li, W. Deng, X. Huang, J. Ma, Z. Liu, Nat. Mater. 17, 993 (2018)

    ADS  Google Scholar 

  60. X. Han, Y. Peng, L. Li, Y. Hu, C. Mei, D. Zhao, X. Zhu, X. Wang, Phys. Rev. Appl. 12, 014046 (2019)

    ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by Chongqing Technology and Business University (Grants No. 1753045), NSAF (Grant No. U2030120), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJZD-K20220805), and Natural Science Foundation of Chongqing (Grant No. CSTB2022NSCQ-MSX1536).

Author information

Authors and Affiliations

  1. School of Computer Science and Information Engineering, Chongqing Technology and Business University, Chongqing, 400067, China

    Feng Xi, Yuxia Tang & Li Hu

  2. Chongqing Key Laboratory of Intelligent Perception and Block Chain Technology, Chongqing Technology and Business University, Chongqing, 400067, China

    Feng Xi & Li Hu

  3. College of Optoelectronic Engineering, Chongqing University, Chongqing, 400044, China

    Feng Xi

Authors
  1. Feng Xi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yuxia Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Li Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

All authors contributed extensively to this work. YT performed the theoretical analysis. LH performed the simulations. FX wrote the manuscript with input from all authors and supervised the project.

Corresponding author

Correspondence to Feng Xi.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xi, F., Tang, Y. & Hu, L. Valley edge states and chiral selective transport in reconfigurable phononic crystals. Eur. Phys. J. B 96, 153 (2023). https://doi.org/10.1140/epjb/s10051-023-00618-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/s10051-023-00618-8

Search

Navigation