Efficient Design of Helical Higher-Order Topological Insulators in 3D Elastic Medium Article Swipe
Jiachen Luo
,
Zongliang Du
,
Hui Chen
,
Xianggui Ding
,
Chang Liu
,
Weisheng Zhang
,
Xu Guo
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2301.03308
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2301.03308
Topological materials (TMs) are well-known for their topological protected properties. Phononic system has the advantage of direct observation and engineering of topological phenomena on the macroscopic scale. For the inverse design of 3D TMs in continuum medium, however, it would be extremely difficult to classify the topological properties, tackle the computational complexity, and search solutions in an infinite parameter space. This work proposed a systematic design framework for the 3D mechanical higher-order topological insulators (HOTIs) by combining the symmetry indicators (SI) method and the moving morphable components (MMC) method. The 3D unit cells are described by the MMC method with only tens of design variables. By evaluating the inherent singularity properties in the 3D mechanical system, the classic formulas of topological invariants are modified accordingly for elastic waves. Then a mathematical formulation is proposed for designing the helical multipole topological insulators (MTIs) featured corner states and helical energy fluxes, by constraining the corresponding topological invariants and maximizing the width of band gap. Mechanical helical HOTIs with different symmetries are obtained by this method and verified by full wave simulations. This design paradigm can be further extended to design 3D TMs among different symmetry classes and space groups, and different physical systems.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2301.03308
- https://arxiv.org/pdf/2301.03308
- OA Status
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- Related Works
- 10
- OpenAlex ID
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All OpenAlex metadata
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https://openalex.org/W4315588933Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2301.03308Digital Object Identifier
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Efficient Design of Helical Higher-Order Topological Insulators in 3D Elastic MediumWork title
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preprintOpenAlex work type
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enPrimary language
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2023Year of publication
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2023-01-09Full publication date if available
- Authors
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Jiachen Luo, Zongliang Du, Hui Chen, Xianggui Ding, Chang Liu, Weisheng Zhang, Xu GuoList of authors in order
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https://arxiv.org/abs/2301.03308Publisher landing page
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https://arxiv.org/pdf/2301.03308Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2301.03308Direct OA link when available
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Multipole expansion, Topological insulator, Homogeneous space, Topology (electrical circuits), Symmetry (geometry), Inverse, Singularity, Physics, Mathematics, Geometry, Quantum mechanics, CombinatoricsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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| abstract_inverted_index.properties | 110 |
| abstract_inverted_index.symmetries | 167 |
| abstract_inverted_index.systematic | 64 |
| abstract_inverted_index.variables. | 104 |
| abstract_inverted_index.well-known | 4 |
| abstract_inverted_index.Topological | 0 |
| abstract_inverted_index.accordingly | 124 |
| abstract_inverted_index.complexity, | 51 |
| abstract_inverted_index.engineering | 19 |
| abstract_inverted_index.formulation | 131 |
| abstract_inverted_index.macroscopic | 25 |
| abstract_inverted_index.observation | 17 |
| abstract_inverted_index.properties, | 47 |
| abstract_inverted_index.properties. | 9 |
| abstract_inverted_index.singularity | 109 |
| abstract_inverted_index.topological | 7, 21, 46, 72, 120, 139, 153 |
| abstract_inverted_index.constraining | 150 |
| abstract_inverted_index.higher-order | 71 |
| abstract_inverted_index.mathematical | 130 |
| abstract_inverted_index.simulations. | 178 |
| abstract_inverted_index.computational | 50 |
| abstract_inverted_index.corresponding | 152 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 7 |
| citation_normalized_percentile.value | 0.00377358 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |