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Strain induced topological transitions in twisted double bilayer graphene |
Guoyu Luo1, Xinyu Lv1, Lu Wen1, Zhiqiang Li1, Zhenbing Dai2() |
1. College of Physics, Sichuan University, Chengdu 610064, China 2. Department of Physics, Sichuan Normal University, Chengdu 610066, China |
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Abstract We theoretically study the band structures and the valley Chern numbers of the AB–AB and AB–BA stacked twisted double bilayer graphene under heterostrain effect. In the absence of heterostrain, due to the constrains by the spatial symmetries, the central two flat bands of the AB–AB are topological trivial bands, while in the AB–BA they have a finite Chern number. The heterostrain breaks all the point group symmetries and the constrains are lifted, hence the topological properties of the two arrangements can be tuned by different strain magnitudes ϵ and directions ϕ. The heterostrain has dissimilar impacts on the Chern numbers of the AB–AB and AB–BA, owing to their different band gaps, and these gaps can be modified by a vertical electric field. Our results show that the topological transitions for both arrangements occur in the ϵ range of 0.1%–0.4%, which can be realized in the graphene-based sample.
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Keywords
valley Chern number
twisted double bilayer graphene
flat bands
heterostrain
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Corresponding Author(s):
Zhenbing Dai
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Issue Date: 25 February 2022
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