Topological Phase Transition in a One-Dimensional Elastic String System
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 ac...
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MDPI AG
2019-06-01
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Series: | Crystals |
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Online Access: | https://www.mdpi.com/2073-4352/9/6/313 |
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author | Ya-Wen Tsai Yao-Ting Wang Pi-Gang Luan Ta-Jen Yen |
author_facet | Ya-Wen Tsai Yao-Ting Wang Pi-Gang Luan Ta-Jen Yen |
author_sort | Ya-Wen Tsai |
collection | DOAJ |
description | 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. |
first_indexed | 2024-04-11T18:01:09Z |
format | Article |
id | doaj.art-8114d0b837384020869bc970df647ad2 |
institution | Directory Open Access Journal |
issn | 2073-4352 |
language | English |
last_indexed | 2024-04-11T18:01:09Z |
publishDate | 2019-06-01 |
publisher | MDPI AG |
record_format | Article |
series | Crystals |
spelling | doaj.art-8114d0b837384020869bc970df647ad22022-12-22T04:10:30ZengMDPI AGCrystals2073-43522019-06-019631310.3390/cryst9060313cryst9060313Topological Phase Transition in a One-Dimensional Elastic String SystemYa-Wen Tsai0Yao-Ting Wang1Pi-Gang Luan2Ta-Jen Yen3Department of Materials Science and Engineering, National Tsing Hua University, Hsinchu 30013, TaiwanDepartment of Physics, Imperial College London, London SW7 2AZ, UKDepartment of Optics and Photonics, National Central University, Jhongli 32001, TaiwanDepartment of Materials Science and Engineering, National Tsing Hua University, Hsinchu 30013, TaiwanWe 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.https://www.mdpi.com/2073-4352/9/6/313Zak phasetopological interface statesstring waves1D crystals |
spellingShingle | Ya-Wen Tsai Yao-Ting Wang Pi-Gang Luan Ta-Jen Yen Topological Phase Transition in a One-Dimensional Elastic String System Crystals Zak phase topological interface states string waves 1D crystals |
title | Topological Phase Transition in a One-Dimensional Elastic String System |
title_full | Topological Phase Transition in a One-Dimensional Elastic String System |
title_fullStr | Topological Phase Transition in a One-Dimensional Elastic String System |
title_full_unstemmed | Topological Phase Transition in a One-Dimensional Elastic String System |
title_short | Topological Phase Transition in a One-Dimensional Elastic String System |
title_sort | topological phase transition in a one dimensional elastic string system |
topic | Zak phase topological interface states string waves 1D crystals |
url | https://www.mdpi.com/2073-4352/9/6/313 |
work_keys_str_mv | AT yawentsai topologicalphasetransitioninaonedimensionalelasticstringsystem AT yaotingwang topologicalphasetransitioninaonedimensionalelasticstringsystem AT pigangluan topologicalphasetransitioninaonedimensionalelasticstringsystem AT tajenyen topologicalphasetransitioninaonedimensionalelasticstringsystem |