Quantum anomalous Hall effect in twisted bilayer graphene quasicrystal

doi:10.1088/1674-1056/abab77

中国物理B ›› 2020, Vol. 29 ›› Issue (10): 107101-.doi: 10.1088/1674-1056/abab77

Zedong Li(李泽东)¹, Z F Wang(王征飞)¹^,†()

收稿日期:2020-05-06 修回日期:2020-07-24 接受日期:2020-08-01 出版日期:2020-10-05 发布日期:2020-10-05
通讯作者: Z F Wang(王征飞)

Quantum anomalous Hall effect in twisted bilayer graphene quasicrystal

Zedong Li(李泽东) and Z F Wang(王征飞)†

¹ Hefei National Laboratory for Physical Sciences at the Microscale, CAS Key Laboratory of Strongly-Coupled Quantum Matter Physics, University of Science and Technology of China, Hefei 230026, China

Received:2020-05-06 Revised:2020-07-24 Accepted:2020-08-01 Online:2020-10-05 Published:2020-10-05
Contact: ^†Corresponding author. E-mail: zfwang15@ustc.edu.cn
About author:
†Corresponding author. E-mail: zfwang15@ustc.edu.cn
* Project supported by the National Natural Science Foundation of China (Grant Nos. 11774325 and 21603210), the National Key Research and Development Program of China (Grant No. 2017YFA0204904), and Fundamental Research Funds for the Central Universities, China.

摘要/Abstract

Abstract:

The nontrivial topology is investigated in a dodecagonal quasicrystal made of 30° twisted bilayer graphene (TBG). Based on tight-binding model with both exchange field and Rashba spin–orbit coupling, the topological index, chiral edge states, and quantum conductance are calculated to distinguish its unique topological phase. A high Bott index (B = 4) quantum anomalous Hall effect (QAHE) is identified in TBG quasicrystal, which is robust to a finite perturbation without closing the nontrivial gap. Most remarkably, we have found that the multiple Dirac cone replicas in TBG quasicrystal are only a spectra feature without generating extra chiral edge states. Our results not only propose a possible way to realize the QAHE in quasicrystal, but also identify the continuity of nontrivial topology in TBG between crystal and quasicrystal.

Key words: quasicrystal, twisted bilayer graphene, quantum anomalous Hall effect

中图分类号: (Quasicrystals)

71.23.Ft

73.43.Cd (Theory and modeling) 72.15.Cz (Electrical and thermal conduction in amorphous and liquid metals and Alloys ?)

Zedong Li(李泽东), Z F Wang(王征飞). [J]. 中国物理B, 2020, 29(10): 107101-.

Zedong Li(李泽东) and Z F Wang(王征飞)†. Quantum anomalous Hall effect in twisted bilayer graphene quasicrystal[J]. Chin. Phys. B, 2020, 29(10): 107101-.

图/表 4

参考文献 46

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Quantum anomalous Hall effect in twisted bilayer graphene quasicrystal

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