Wilson Loop and Topological Properties in 3D Woodpile Photonic Crystal
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929667283353600 |
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| author | Phan, Huyen Thanh Takahashi, Shun Iwamoto, Satoshi Wakabayashi, Katsunori |
| author_facet | Phan, Huyen Thanh Takahashi, Shun Iwamoto, Satoshi Wakabayashi, Katsunori |
| contents | We numerically study the first and the second order topological states of electromagnetic (EM) wave in the three-dimensional (3D) woodpile photonic crystal (PhC). The recent studies on 3D PhCs have mainly focused on the observation of the topological states. Here, we not only focus on finding the topological states but also propose a numerical calculation method for topological invariants, which is based on the Wilson loop. For the 3D woodpile PhC, the topological states emerge due to the finite difference in the winding number or partial Chern number. The selection rule for the emergence of topological hinge states is also pointed out based on the topological invariants. Our numerical calculation results are essential and put a step toward the experimental realization of topological waveguide in 3D PhCs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11353 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wilson Loop and Topological Properties in 3D Woodpile Photonic Crystal Phan, Huyen Thanh Takahashi, Shun Iwamoto, Satoshi Wakabayashi, Katsunori Optics Mesoscale and Nanoscale Physics We numerically study the first and the second order topological states of electromagnetic (EM) wave in the three-dimensional (3D) woodpile photonic crystal (PhC). The recent studies on 3D PhCs have mainly focused on the observation of the topological states. Here, we not only focus on finding the topological states but also propose a numerical calculation method for topological invariants, which is based on the Wilson loop. For the 3D woodpile PhC, the topological states emerge due to the finite difference in the winding number or partial Chern number. The selection rule for the emergence of topological hinge states is also pointed out based on the topological invariants. Our numerical calculation results are essential and put a step toward the experimental realization of topological waveguide in 3D PhCs. |
| title | Wilson Loop and Topological Properties in 3D Woodpile Photonic Crystal |
| topic | Optics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2412.11353 |