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Topological Phase Transition in a One-Dimensional Elastic String System

Department of Materials Science and Engineering, National Tsing Hua University, Hsinchu 30013, Taiwan
Department of Physics, Imperial College London, London SW7 2AZ, UK
Department of Optics and Photonics, National Central University, Jhongli 32001, Taiwan
Authors to whom correspondence should be addressed.
Crystals 2019, 9(6), 313;
Received: 20 May 2019 / Revised: 13 June 2019 / Accepted: 15 June 2019 / Published: 18 June 2019
(This article belongs to the Special Issue Recent Advances in Novel Topological Materials)
PDF [2809 KB, uploaded 18 June 2019]


We show that topological interface mode can emerge in a one-dimensional elastic string system which consists of two periodic strings with different band topologies. To verify their topological features, Zak-phase of each band is calculated and reveals the condition of topological phase transition accordingly. Apart from that, the transmittance spectrum illustrates that topological interface mode arises when two topologically distinct structures are connected. The vibration profile further exhibits the non-trivial interface mode in the domain wall between two periodic string composites. View Full-Text
Keywords: Zak phase; topological interface states; string waves; 1D crystals Zak phase; topological interface states; string waves; 1D crystals

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Tsai, Y.-W.; Wang, Y.-T.; Luan, P.-G.; Yen, T.-J. Topological Phase Transition in a One-Dimensional Elastic String System. Crystals 2019, 9, 313.

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