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Structured sonic tube with carbon nanotube-like topological edge states

Author

Listed:
  • Zhiwang Zhang

    (Nanjing University)

  • Penglin Gao

    (School of Mechanical Engineering, Shanghai Jiao Tong University
    Shanghai Jiao Tong University
    Universidad Carlos III de Madrid)

  • Wenjie Liu

    (Nanjing University)

  • Zichong Yue

    (Nanjing University)

  • Ying Cheng

    (Nanjing University)

  • Xiaojun Liu

    (Nanjing University
    Chongqing University)

  • Johan Christensen

    (Universidad Carlos III de Madrid
    Calle Eric Kandel, 2)

Abstract

A single-wall carbon nanotube can be viewed as a one-dimensional material created by rolling up a sheet of graphene. Its electronic band structure depends on the chirality, i.e., how the sheet has been rolled up, yet synthesizing the symmetry at will is rather challenging. We structure an artificial honeycomb lattice in both a zigzag and an armchair tube and explore their topological features for sound. Our findings reveal how armchair tubes remain gapless, whereas the zigzag counterparts host nontrivial edge states of non-zero quantized Zak phase, which are dictated by the circumferential number of units. Unlike man-made planar lattices whose underling symmetry must be broken to harvest quantum Hall and pseudospin phases, interestingly, the structured tubular lattice symmetry remains intact, while its nontrivial phase alone is governed by the chirality and the tube diameter. We foresee that our results, not only for sound, but also in photonics, mechanics and electronics will broaden future avenues for fundamental and applied sciences.

Suggested Citation

  • Zhiwang Zhang & Penglin Gao & Wenjie Liu & Zichong Yue & Ying Cheng & Xiaojun Liu & Johan Christensen, 2022. "Structured sonic tube with carbon nanotube-like topological edge states," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-32777-0
    DOI: 10.1038/s41467-022-32777-0
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    References listed on IDEAS

    as
    1. Daniel J. Rizzo & Gregory Veber & Ting Cao & Christopher Bronner & Ting Chen & Fangzhou Zhao & Henry Rodriguez & Steven G. Louie & Michael F. Crommie & Felix R. Fischer, 2018. "Topological band engineering of graphene nanoribbons," Nature, Nature, vol. 560(7717), pages 204-208, August.
    2. Bolun Hu & Zhiwang Zhang & Haixiao Zhang & Liyang Zheng & Wei Xiong & Zichong Yue & Xiaoyu Wang & Jianyi Xu & Ying Cheng & Xiaojun Liu & Johan Christensen, 2021. "Non-Hermitian topological whispering gallery," Nature, Nature, vol. 597(7878), pages 655-659, September.
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