Projective representation of D6 group in twisted bilayer graphene

doi:10.1088/1674-1056/ac00a3

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 70311-070311.doi: 10.1088/1674-1056/ac00a3

所属专题： SPECIAL TOPIC — Twistronics

Projective representation of D₆ group in twisted bilayer graphene

Noah F. Q. Yuan^†

Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

收稿日期:2020-05-12 修回日期:2021-02-02 接受日期:2021-05-13 出版日期:2021-06-22 发布日期:2021-07-09
通讯作者: Noah F. Q. Yuan E-mail:nfqyuan@mit.edu,fyuanaa@connect.ust.hk
基金资助:
Project supported by DOE Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award DE-SC0010526.

Projective representation of D₆ group in twisted bilayer graphene

Noah F. Q. Yuan^†

Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Received:2020-05-12 Revised:2021-02-02 Accepted:2021-05-13 Online:2021-06-22 Published:2021-07-09
Contact: Noah F. Q. Yuan E-mail:nfqyuan@mit.edu,fyuanaa@connect.ust.hk
Supported by:
Project supported by DOE Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award DE-SC0010526.

摘要/Abstract

摘要： Within the framework of continuum model, we study the projective representation of emergent D₆ point group in twisted bilayer graphene. We then construct tight-binding models of the lowest bands without and with external electromagnetic fields, based on the projective representation.

关键词: twisted bilayer graphene, tight-binding model, projective representation

Abstract: Within the framework of continuum model, we study the projective representation of emergent D₆ point group in twisted bilayer graphene. We then construct tight-binding models of the lowest bands without and with external electromagnetic fields, based on the projective representation.

Key words: twisted bilayer graphene, tight-binding model, projective representation

中图分类号: (Algebraic methods)

03.65.Fd

71.20.-b (Electron density of states and band structure of crystalline solids) 71.23.An (Theories and models; localized states) 73.21.Cd (Superlattices)

Noah F. Q. Yuan. Projective representation of D₆ group in twisted bilayer graphene[J]. 中国物理B, 2021, 30(7): 70311-070311.

Noah F. Q. Yuan. Projective representation of D₆ group in twisted bilayer graphene[J]. Chin. Phys. B, 2021, 30(7): 70311-070311.

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Projective representation of D₆ group in twisted bilayer graphene

Projective representation of D₆ group in twisted bilayer graphene

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