Structured sonic tube with carbon nanotube-like topological edge states

Zhiwang Zhang, Penglin Gao, Wenjie Liu, Zichong Yue, Ying Cheng (), Xiaojun Liu () and Johan Christensen ()
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Zhiwang Zhang: Nanjing University
Penglin Gao: School of Mechanical Engineering, Shanghai Jiao Tong University
Wenjie Liu: Nanjing University
Zichong Yue: Nanjing University
Ying Cheng: Nanjing University
Xiaojun Liu: Nanjing University
Johan Christensen: Universidad Carlos III de Madrid

Nature Communications, 2022, vol. 13, issue 1, 1-6

Abstract: 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.

Date: 2022
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DOI: 10.1038/s41467-022-32777-0

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