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Topological property of graphene with triangular array of nanoholes |
| Yong-Cheng Jiang(江咏城)1,2, Xing-Xiang Wang(王星翔)1, and Xiao Hu(胡晓)1,2,† |
1 Institute for Quantum Science and Technology, Shanghai University, Shanghai 200444, China;
2 Department of Physics, College of Sciences, Shanghai University, Shanghai 200444, China |
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Abstract The nontrivial band topology for graphene with regular arrays of nanoholes with $C_{6v}$ symmetry is investigated theoretically. For the case of the $3\sqrt{3}\times 3\sqrt{3}$ triangular array of nanoholes, we find an energy gap at the $\varGamma$ point around the Fermi level associated with a band inversion which induces a change in parity indices, whereas deep below the Fermi level there is a bunch of valence bands (VBs) characterized as an obstructed atomic limit (OAL) which also accommodates an imbalance in parity indices. This band structure renders the gap at the Fermi level topologically trivial and carrying no edge states, while the nontrivial band topology of the OAL manifests in two flat bands in the ribbon structure associated with localized electronic states at the ribbon edges. The present results exhibit rich topological behaviors in graphene derivatives waiting for exploration.
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Received: 30 April 2026
Accepted manuscript online:
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PACS:
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73.22.Pr
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(Electronic structure of graphene)
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02.40.-k
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(Geometry, differential geometry, and topology)
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| Fund: The authors are grateful to T. Kariyado for valuable discussions. Project supported by Shanghai Science and Technology Innovation Action Plan (Grant No. 24LZ1400800). |
Corresponding Authors:
Xiao Hu
E-mail: hu_xiao@shu.edu.cn
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Cite this article:
Yong-Cheng Jiang(江咏城), Xing-Xiang Wang(王星翔), and Xiao Hu(胡晓) Topological property of graphene with triangular array of nanoholes 2026 Chin. Phys. B 35 057305
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