Topological elastic interface states in hyperuniform pillared metabeams

authored by: Runcheng Cai, Yan Pennec, Laurent Carpentier, Yabin Jin, Timon Rabczuk, Xiaoying Zhuang, Bahram Djafari-Rouhani
Abstract: Topological states have been receiving a great deal of interest in various wave problems, such as photonic, acoustic, and elastic waves. However, few studies of topological elastic waves in non-periodic systems have been reported. Recently, hyperuniform systems suppressing long-range order while partly maintaining short-range order have provided new opportunities to control waves. In this work, we study the elastic topological interface states appearing between two Su-Schrieffer-Heeger (SSH)-like pillared metabeams where each metabeam, is constituted by a mirror symmetric hyperuniform structure. The SSH-like model is constructed by combining two hyperuniform metabeams with inverted configurations. We demonstrate that this structure could open new bandgaps at low frequencies, of which some are nontrivial and can support topological interface modes. We further show that the number of low-frequency bandgaps supporting the topological modes increases with the level of randomness, hence providing a high number of interface modes in the same structure. The robustness of the topological interface states against random perturbations in the pillars’ positions is further verified. Our work offers a reliable platform for studying topological properties and hyperuniform metamaterials and designing wave control devices for low-frequency wave attenuation and robust energy localization.
Organisation(s): Institute of Photonics
External Organisation(s): Tongji University
Lille 1 University of Science and Technology
Bauhaus-Universität Weimar
Type: Article
Journal: APL materials
Volume: 12
No. of pages: 11
ISSN: 2166-532X
Publication date: 23.01.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Materials Science, General Engineering
Electronic version(s): https://doi.org/10.1063/5.0184699 (Access: Open)

BibTeX

@article{5db9f2a3e5034f42ac1e62592513dcaf,
title = "Topological elastic interface states in hyperuniform pillared metabeams",
abstract = "Topological states have been receiving a great deal of interest in various wave problems, such as photonic, acoustic, and elastic waves. However, few studies of topological elastic waves in non-periodic systems have been reported. Recently, hyperuniform systems suppressing long-range order while partly maintaining short-range order have provided new opportunities to control waves. In this work, we study the elastic topological interface states appearing between two Su-Schrieffer-Heeger (SSH)-like pillared metabeams where each metabeam, is constituted by a mirror symmetric hyperuniform structure. The SSH-like model is constructed by combining two hyperuniform metabeams with inverted configurations. We demonstrate that this structure could open new bandgaps at low frequencies, of which some are nontrivial and can support topological interface modes. We further show that the number of low-frequency bandgaps supporting the topological modes increases with the level of randomness, hence providing a high number of interface modes in the same structure. The robustness of the topological interface states against random perturbations in the pillars{\textquoteright} positions is further verified. Our work offers a reliable platform for studying topological properties and hyperuniform metamaterials and designing wave control devices for low-frequency wave attenuation and robust energy localization.",
author = "Runcheng Cai and Yan Pennec and Laurent Carpentier and Yabin Jin and Timon Rabczuk and Xiaoying Zhuang and Bahram Djafari-Rouhani",
note = "Funding Information: This work was supported by the National Natural Science Foundation of China (Grant Nos.12272267 and 52278411), the Young Elite Scientists Sponsorship Program by CAST (Grant No. 2021QNRC001), the Shanghai Science and Technology Commission (Grant Nos. 22JC1404100 and 21JC1405600), the Special Funds of the Tongji University for “Sino-German Cooperation 2.0 Strategy,” and the Fundamental Research Funds for the Central Universities. The first author is grateful for the support of the China Scholarship Council (Grant No. 202206260205). This work was part of the project MAGNIFIC, which has received funding from the European Union{\textquoteright}s Horizon Europe research and innovation program under Grant Agreement No. 101091968. The project is also supported by the French national research agency ANR under Grant Agreement No. ANR-19-CE24-0014. ",
year = "2024",
month = jan,
day = "23",
doi = "10.1063/5.0184699",
language = "English",
volume = "12",
journal = "APL materials",
issn = "2166-532X",
publisher = "American Institute of Physics",
number = "1",
}