scholarly journals Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions

2018 ◽  
Vol 98 (8) ◽  
Author(s):  
Liujun Zou ◽  
Hoi Chun Po ◽  
Ashvin Vishwanath ◽  
T. Senthil
Keyword(s):  
Band Structure ◽  
Bilayer Graphene ◽  
Twisted Bilayer Graphene

scholarly journals Electronic properties of twisted bilayer graphene in high-energy k ⋅p-Hamiltonian approximation

2020 ◽  
Vol 34 (19n20) ◽  
pp. 2040055
Author(s):  
H. V. Grushevskaya ◽  
G. G. Krylov ◽  
H.-Y. Choi ◽  
S. P. Kruchinin
Keyword(s):  
Band Structure ◽  
Rotation Angle ◽  
Energy Gap ◽  
High Energy ◽  
Bilayer Graphene ◽  
Monolayer Graphene ◽  
Abelian Gauge ◽  
Relativistic Approach ◽  
Energy Formula ◽  
Twisted Bilayer Graphene

A model of twisted bilayer graphene has been offered on the base of developed quasi-relativistic approach with high energy [Formula: see text]-Hamiltonian. Monolayer-graphene twist is accounted as a perturbation of monolayer-graphene Hamiltonian in such a way that at a given point of the Brillouin zone there exists an external non-Abelian gauge field of another monolayer. Majorana-like resonances have been revealed in the band structure of model at a magic rotation angle [Formula: see text]. The simulations have also shown that a superlattice energy gap existing at a rotation angle [Formula: see text] vanishes at a rotation angle [Formula: see text].

scholarly journals Band structure of twisted bilayer graphene on hexagonal boron nitride

2020 ◽  
Vol 102 (15) ◽  
Author(s):  
Tommaso Cea ◽  
Pierre A. Pantaleón ◽  
Francisco Guinea
Keyword(s):  
Boron Nitride ◽  
Band Structure ◽  
Hexagonal Boron Nitride ◽  
Bilayer Graphene ◽  
Twisted Bilayer Graphene

scholarly journals Evolution of the electronic band structure of twisted bilayer graphene upon doping

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Shengqiang Huang ◽  
Matthew Yankowitz ◽  
Kanokporn Chattrakun ◽  
Arvinder Sandhu ◽  
Brian J. LeRoy
Keyword(s):  
Band Structure ◽  
Electronic Band Structure ◽  
Bilayer Graphene ◽  
Electronic Band ◽  
Twisted Bilayer Graphene

scholarly journals Gate tunable optical absorption and band structure of twisted bilayer graphene

2019 ◽  
Vol 99 (24) ◽  
Author(s):  
Kwangnam Yu ◽  
Nguyen Van Luan ◽  
Taesoo Kim ◽  
Jiwon Jeon ◽  
Jiho Kim ◽  
...  
Keyword(s):  
Optical Absorption ◽  
Band Structure ◽  
Bilayer Graphene ◽  
Twisted Bilayer Graphene

scholarly journals Superconductivity, correlated insulators, and Wess–Zumino–Witten terms in twisted bilayer graphene

2020 ◽  
Vol 117 (47) ◽  
pp. 29543-29554
Author(s):  
Maine Christos ◽  
Subir Sachdev ◽  
Mathias S. Scheurer
Keyword(s):  
High Temperature ◽  
Low Temperature ◽  
Band Structure ◽  
Symmetry Breaking ◽  
Bilayer Graphene ◽  
Flavor Symmetry ◽  
Dirac Fermions ◽  
Parent State ◽  
Comprehensive Listing ◽  
Twisted Bilayer Graphene

Recent experiments on twisted bilayer graphene have shown a high-temperature parent state with massless Dirac fermions and broken electronic flavor symmetry; superconductivity and correlated insulators emerge from this parent state at lower temperatures. We propose that the superconducting and correlated insulating orders are connected by Wess–Zumino–Witten terms, so that defects of one order contain quanta of another order and skyrmion fluctuations of the correlated insulator are a “mechanism” for superconductivity. We present a comprehensive listing of plausible low-temperature orders and the parent flavor symmetry-breaking orders. The previously characterized topological nature of the band structure of twisted bilayer graphene plays an important role in this analysis.

scholarly journals Correlation-Induced Insulating Topological Phases at Charge Neutrality in Twisted Bilayer Graphene

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yuan Da Liao ◽  
Jian Kang ◽  
Clara N. Breiø ◽  
Xiao Yan Xu ◽  
Han-Qing Wu ◽  
...  
Keyword(s):  
Bilayer Graphene ◽  
Topological Phases ◽  
Charge Neutrality ◽  
Twisted Bilayer Graphene

scholarly journals Strange metal behavior of the Hall angle in twisted bilayer graphene

2021 ◽  
Vol 103 (24) ◽  
Author(s):  
Rui Lyu ◽  
Zachary Tuchfeld ◽  
Nishchhal Verma ◽  
Haidong Tian ◽  
Kenji Watanabe ◽  
...  
Keyword(s):  
Bilayer Graphene ◽  
Hall Angle ◽  
Twisted Bilayer Graphene
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