https://doi.org/10.1140/epjp/s13360-023-03682-2
Regular Article
The Moiré pattern rule of the twisted bilayer graphene and its electronic property under a strain
1
Department of Physics, Key Laboratory for Low-Dimensional Structures and Quantum Manipulation (Ministry of Education), Hunan Normal University, 410081, Changsha, China
2
Department of Physics, Shaoyang University, 422001, Shaoyang, China
Received:
2
October
2022
Accepted:
9
January
2023
Published online:
28
January
2023
The previous works for twisted bilayer graphene (TBG) are rotated as the center of the “atom” or “ring”. Here, we firstly find the other highly symmetrical rotation center, i.e., the “bond”, and summarize the Moiré pattern rule of the TBG at these three different rotation centers with different angles. It is also found that the TBG can be classified into three structures “a”, “r” and “b”. Further, by adopting the first principles, we investigate the band structures at three different rotation centers with a certain rotation angle 21.8
, under a perpendicular compressive strain. We find that these three structures share the similar band structure without the strain, exhibiting the linear behavior for the conduction and valence bands. However, the strain breaks this linear behavior and splits the conduction and valence bands for all the structures. The band gap appears for the structure “r”, while for the other structures “a” and “b” they are always gapless regardless of the strain. We further provide the corresponding DOS to understand these different behaviors of the band structures for these three structures. Our results may provide a further understanding on the classification of the Moiré pattern law of the TBG and the electronic properties of the TBG under the strain.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
