Studies on topological invariants of a string-ball chain

LIN Zhi-xing, WANG Zhi-yuan, YANG Tian-hua

doi:10.16854/j.cnki.1000-0712.210324

College Physics >

2022 , Vol. 41 >Issue 3: 51

DOI: https://doi.org/10.16854/j.cnki.1000-0712.210324

Studies on topological invariants of a string-ball chain

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School of Physics，Peking University，Beijing 100871，China

Received date: 2021-07-07

Revised date: 2021-09-12

Online published: 2022-03-31

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Abstract

As a representative acoustic system，band structure of a periodical string-ball chain has been widely studied.In spectrum measurement，it^,s noteworthy that a novel，robust class of eigenstates (edge states)，whose energy lies in the band gap and wave function locates at the edge of the system，have been detected.In this paper，the resemblance between the experiment-observed edge states and ones in topological insulator enabled to develop an analogous theory of topological acoustics to study string-ball system.Numerical simulation of topology invariants demonstrates non-trivial topological properties of the experiment system，proving that the observed edge states are topological-protected edge states；Based on numerical results，a brief discussion is given on topological phase transition and transport properties of edge states.

Key words： edge state; topological invariants; topological phase transition; transport properties

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LIN Zhi-xing, WANG Zhi-yuan, YANG Tian-hua . Studies on topological invariants of a string-ball chain[J]. College Physics, 2022 , 41(3) : 51 . DOI: 10.16854/j.cnki.1000-0712.210324

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