scholarly journals Hofstadter butterfly and Floquet topological insulators in minimally twisted bilayer graphene

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Yang-Zhi Chou ◽  
Fengcheng Wu ◽  
Sankar Das Sarma
Keyword(s):  
Topological Insulators ◽  
Bilayer Graphene ◽  
Twisted Bilayer Graphene ◽  
Hofstadter Butterfly

scholarly journals Multiple flat bands and topological Hofstadter butterfly in twisted bilayer graphene close to the second magic angle

2021 ◽  
Vol 118 (30) ◽  
pp. e2100006118
Author(s):  
Xiaobo Lu ◽  
Biao Lian ◽  
Gaurav Chaudhary ◽  
Benjamin A. Piot ◽  
Giulio Romagnoli ◽  
...  
Keyword(s):  
Condensed Matter ◽  
Bilayer Graphene ◽  
Band Gaps ◽  
Magic Angle ◽  
Two Dimensional ◽  
Quantum Phases ◽  
Electron Band ◽  
Flat Bands ◽  
Twisted Bilayer Graphene ◽  
Hofstadter Butterfly

Moiré superlattices in two-dimensional van der Waals heterostructures provide an efficient way to engineer electron band properties. The recent discovery of exotic quantum phases and their interplay in twisted bilayer graphene (tBLG) has made this moiré system one of the most renowned condensed matter platforms. So far studies of tBLG have been mostly focused on the lowest two flat moiré bands at the first magic angle θm1 ∼ 1.1°, leaving high-order moiré bands and magic angles largely unexplored. Here we report an observation of multiple well-isolated flat moiré bands in tBLG close to the second magic angle θm2 ∼ 0.5°, which cannot be explained without considering electron–election interactions. With high magnetic field magnetotransport measurements we further reveal an energetically unbound Hofstadter butterfly spectrum in which continuously extended quantized Landau level gaps cross all trivial band gaps. The connected Hofstadter butterfly strongly evidences the topologically nontrivial textures of the multiple moiré bands. Overall, our work provides a perspective for understanding the quantum phases in tBLG and the fractal Hofstadter spectra of multiple topological bands.

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

scholarly journals Correlated insulators in twisted bilayer graphene

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Ipsita Mandal ◽  
Jia Yao ◽  
Erich J. Mueller
Keyword(s):  
Bilayer Graphene ◽  
Twisted Bilayer Graphene

scholarly journals Disorder in twisted bilayer graphene

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Justin H. Wilson ◽  
Yixing Fu ◽  
S. Das Sarma ◽  
J. H. Pixley
Keyword(s):  
Bilayer Graphene ◽  
Twisted Bilayer Graphene

scholarly journals Unfolding energy spectra of double-periodicity two-dimensional systems: Twisted bilayer graphene and MoS2 on graphene

2018 ◽  
Vol 2 (1) ◽  
Author(s):  
Yu-ichiro Matsushita ◽  
Hirofumi Nishi ◽  
Jun-ichi Iwata ◽  
Taichi Kosugi ◽  
Atsushi Oshiyama
Keyword(s):  
Bilayer Graphene ◽  
Energy Spectra ◽  
Two Dimensional ◽  
Twisted Bilayer Graphene

scholarly journals Fractional Chern insulator states in twisted bilayer graphene: An analytical approach

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Patrick J. Ledwith ◽  
Grigory Tarnopolsky ◽  
Eslam Khalaf ◽  
Ashvin Vishwanath
Keyword(s):  
Analytical Approach ◽  
Bilayer Graphene ◽  
Twisted Bilayer Graphene
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