Landau level degeneracy in twisted bilayer graphene: Role of symmetry breaking

被引:56
作者
Zhang, Ya-Hui [1 ]
Po, Hoi Chun [1 ]
Senthil, T. [1 ]
机构
[1] MIT, Dept Phys, Cambridge, MA 02139 USA
关键词
MAGIC-ANGLE; INSULATOR;
D O I
10.1103/PhysRevB.100.125104
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The degeneracy of Landau levels flanking charge neutrality in twisted bilayer graphene is known to change from eightfold to fourfold when the twist angle is reduced to values near the magic angle of approximate to 1.05 degrees. This degeneracy lifting has been reproduced in experiments by multiple groups and is known to occur even in devices which do not harbor the correlated insulators and superconductors. We propose C-3-symmetry breaking as an explanation of such robust degeneracy lifting and support our proposal by numerical results on the Landau-level spectrum in near-magic-angle twisted bilayer graphene. Motivated by recent experiments, we further consider the effect of C-2-symmetry breaking on the Landau levels.
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页数:10
相关论文
共 27 条
[1]  
[Anonymous], ARXIV190102997
[2]   Designing flat bands by strain [J].
Bi, Zhen ;
Yuan, Noah F. Q. ;
Fu, Liang .
PHYSICAL REVIEW B, 2019, 100 (03)
[3]   Moire butterflies in twisted bilayer graphene [J].
Bistritzer, R. ;
MacDonald, A. H. .
PHYSICAL REVIEW B, 2011, 84 (03)
[4]   Moire bands in twisted double-layer graphene [J].
Bistritzer, Rafi ;
MacDonald, Allan H. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2011, 108 (30) :12233-12237
[5]  
Bultinck N., ARXIV190108110
[6]   Superlattice-Induced Insulating States and Valley-Protected Orbits in Twisted Bilayer Graphene [J].
Cao, Y. ;
Luo, J. Y. ;
Fatemi, V. ;
Fang, S. ;
Sanchez-Yamagishi, J. D. ;
Watanabe, K. ;
Taniguchi, T. ;
Kaxiras, E. ;
Jarillo-Herrero, P. .
PHYSICAL REVIEW LETTERS, 2016, 117 (11)
[7]  
Cao Y., ARXIV190308596
[8]   Correlated insulator behaviour at half-filling in magic-angle graphene superlattices [J].
Cao, Yuan ;
Fatemi, Valla ;
Demir, Ahmet ;
Fang, Shiang ;
Tomarken, Spencer L. ;
Luo, Jason Y. ;
Sanchez-Yamagishi, Javier D. ;
Watanabe, Kenji ;
Taniguchi, Takashi ;
Kaxiras, Efthimios ;
Ashoori, Ray C. ;
Jarillo-Herrero, Pablo .
NATURE, 2018, 556 (7699) :80-+
[9]   Unconventional superconductivity in magic-angle graphene superlattices [J].
Cao, Yuan ;
Fatemi, Valla ;
Fang, Shiang ;
Watanabe, Kenji ;
Taniguchi, Takashi ;
Kaxiras, Efthimios ;
Jarillo-Herrero, Pablo .
NATURE, 2018, 556 (7699) :43-+
[10]   Signatures of tunable superconductivity in a trilayer graphene moire superlattice [J].
Chen, Guorui ;
Sharpe, Aaron L. ;
Gallagher, Patrick ;
Rosen, Ilan T. ;
Fox, Eli J. ;
Jiang, Lili ;
Lyu, Bosai ;
Li, Hongyuan ;
Watanabe, Kenji ;
Taniguchi, Takashi ;
Jung, Jeil ;
Shi, Zhiwen ;
Goldhaber-Gordon, David ;
Zhang, Yuanbo ;
Wang, Feng .
NATURE, 2019, 572 (7768) :215-+