Dimensional hierarchy of topological bound states in the continuum

Fuente: arXiv
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Main Authors: Yin, Shunda, Wang, Zhenyu, Ye, Liping, He, Hailong, Ke, Manzhu, Deng, Weiyin, Lu, Jiuyang, Liu, Zhengyou
Format: Preprint
Published: 2025
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_version_ 1866911130470842368
author Yin, Shunda
Wang, Zhenyu
Ye, Liping
He, Hailong
Ke, Manzhu
Deng, Weiyin
Lu, Jiuyang
Liu, Zhengyou
author_facet Yin, Shunda
Wang, Zhenyu
Ye, Liping
He, Hailong
Ke, Manzhu
Deng, Weiyin
Lu, Jiuyang
Liu, Zhengyou
contents Bound states in the continuum (BICs), with the ability of trapping and manipulating waves within the radiation continuum, have gained significant attention for their potential applications in optics and acoustics. However, challenges arise in reducing wave leakage and noise from fabrication imperfections. The emergence of robust wave manipulations based on topological BICs (TBICs) offers promising solutions. Traditionally, TBICs of different dimensions are observed separately in distinct systems. Here, we report the experimental discovery of the coexistence of two-dimensional surface TBICs and one-dimensional hinge TBICs in a single three-dimensional phononic crystal system. Such an unprecedented dimensional hierarchy of TBICs is triggered by the mechanism of separability and protected by the valley Chern numbers. Notably, these TBICs inherit dispersive propagation characteristics from valley topology and can propagate robustly against defects without leakage. Our findings offer an efficient approach to multidimensional TBICs and can be applied in designing highly efficient acoustic devices for wave trapping and manipulation in multidimensional environments.
format Preprint
id arxiv_https___arxiv_org_abs_2509_00344
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dimensional hierarchy of topological bound states in the continuum
Yin, Shunda
Wang, Zhenyu
Ye, Liping
He, Hailong
Ke, Manzhu
Deng, Weiyin
Lu, Jiuyang
Liu, Zhengyou
Materials Science
Mesoscale and Nanoscale Physics
Bound states in the continuum (BICs), with the ability of trapping and manipulating waves within the radiation continuum, have gained significant attention for their potential applications in optics and acoustics. However, challenges arise in reducing wave leakage and noise from fabrication imperfections. The emergence of robust wave manipulations based on topological BICs (TBICs) offers promising solutions. Traditionally, TBICs of different dimensions are observed separately in distinct systems. Here, we report the experimental discovery of the coexistence of two-dimensional surface TBICs and one-dimensional hinge TBICs in a single three-dimensional phononic crystal system. Such an unprecedented dimensional hierarchy of TBICs is triggered by the mechanism of separability and protected by the valley Chern numbers. Notably, these TBICs inherit dispersive propagation characteristics from valley topology and can propagate robustly against defects without leakage. Our findings offer an efficient approach to multidimensional TBICs and can be applied in designing highly efficient acoustic devices for wave trapping and manipulation in multidimensional environments.
title Dimensional hierarchy of topological bound states in the continuum
topic Materials Science
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2509.00344