Periodic Behavior of Topology in Graphene with Nanohole Array
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917494414901248 |
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| author | Jiang, Yong-Cheng Wang, Xing-Xiang Hu, Xiao |
| author_facet | Jiang, Yong-Cheng Wang, Xing-Xiang Hu, Xiao |
| contents | We derive a way to diagnose band topology for graphene with triangular and/or honeycomb array of nanoholes directly from the lattice constant of superstructure $m\sqrt{3}\times m\sqrt{3}$ with integer $m$. Taking into account the $C_{6v}$ crystalline symmetry respected by nanoholes and their array, we demonstrate that nontrivial topology appears periodically with $m$ with period two (six) for triangular (honeycomb) array. These behaviors are verified by Wyckoff positions of Wannier centers and parity index of valence bands at high-symmetry points in Brillouin zone. The results provide a convenient guide for material design of topological electronic states based on graphene derivatives. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_14436 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Periodic Behavior of Topology in Graphene with Nanohole Array Jiang, Yong-Cheng Wang, Xing-Xiang Hu, Xiao Mesoscale and Nanoscale Physics We derive a way to diagnose band topology for graphene with triangular and/or honeycomb array of nanoholes directly from the lattice constant of superstructure $m\sqrt{3}\times m\sqrt{3}$ with integer $m$. Taking into account the $C_{6v}$ crystalline symmetry respected by nanoholes and their array, we demonstrate that nontrivial topology appears periodically with $m$ with period two (six) for triangular (honeycomb) array. These behaviors are verified by Wyckoff positions of Wannier centers and parity index of valence bands at high-symmetry points in Brillouin zone. The results provide a convenient guide for material design of topological electronic states based on graphene derivatives. |
| title | Periodic Behavior of Topology in Graphene with Nanohole Array |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2605.14436 |