Quadrupole topological behavior of elastic waves in two-dimensional square lattices with nonsymmorphic symmetries
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915068877209600 |
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| author | Liu, Yijie Chen, Yuyang Guo, Zhaoyang Lin, Zhi-Kang Zhou, Di Li, Feng Wu, Ying |
| author_facet | Liu, Yijie Chen, Yuyang Guo, Zhaoyang Lin, Zhi-Kang Zhou, Di Li, Feng Wu, Ying |
| contents | We investigate a novel higher-order topological behavior in elastic lattices characterized by nonsymmorphic symmetries. In the theoretical spring-mass lattice, altering the vertex mass allows for fine-tuning of the topological features within the bandgap. We analyze the quadrupole topological behavior in square lattices with nonsymmorphic symmetries using nested Wannier bands. Beyond second-order topological metamaterials, a single-phase topological configuration promotes energy localization at the corners due to a non-zero relative quadrupole moment. Our findings are validated through experimental observations of higher-order topological corner states, which show excellent agreement with simulated results and theoretical predictions. Additionally, the elastic lattices in the self-similar system exhibit fractal higher-order topological behaviors, revealing numerous topological edge and corner states. The self-similar lattice also demonstrates enhanced energy localization, with the number of topological states showing a linear correlation to the corner dimension. This study provides new insights into elastic higher-order topological insulators and inspires innovative strategies for simulating topological elastic materials. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_12699 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quadrupole topological behavior of elastic waves in two-dimensional square lattices with nonsymmorphic symmetries Liu, Yijie Chen, Yuyang Guo, Zhaoyang Lin, Zhi-Kang Zhou, Di Li, Feng Wu, Ying Applied Physics We investigate a novel higher-order topological behavior in elastic lattices characterized by nonsymmorphic symmetries. In the theoretical spring-mass lattice, altering the vertex mass allows for fine-tuning of the topological features within the bandgap. We analyze the quadrupole topological behavior in square lattices with nonsymmorphic symmetries using nested Wannier bands. Beyond second-order topological metamaterials, a single-phase topological configuration promotes energy localization at the corners due to a non-zero relative quadrupole moment. Our findings are validated through experimental observations of higher-order topological corner states, which show excellent agreement with simulated results and theoretical predictions. Additionally, the elastic lattices in the self-similar system exhibit fractal higher-order topological behaviors, revealing numerous topological edge and corner states. The self-similar lattice also demonstrates enhanced energy localization, with the number of topological states showing a linear correlation to the corner dimension. This study provides new insights into elastic higher-order topological insulators and inspires innovative strategies for simulating topological elastic materials. |
| title | Quadrupole topological behavior of elastic waves in two-dimensional square lattices with nonsymmorphic symmetries |
| topic | Applied Physics |
| url | https://arxiv.org/abs/2412.12699 |