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In bilayer graphene rotationally faulted to theta=1.1 degrees, interlayer tunneling and rotational misalignment conspire to create a pair of low energy flat band that have been found to host various correlated phenomena at partial filling.
Mapping the twist angle and unconventional Landau levels in magic angle graphene
Aviram Uri, Sameer Grover, Yuan Cao, J. A. Crosse, Kousik Bagani, Daniel Rodan-Legrain, Yuri Myasoedov, Kenji Watanabe, Takashi Taniguchi, Pilkyung Moon, Mikito Koshino, Pablo Jarillo-Herrero, and Eli Zeldov · 1908
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The interplay of insulating and superconducting orders in magic-angle graphene bilayers
Petr Stepanov, Ipsita Das, Xiaobo Lu, Ali Fahimniya, Kenji Watanabe, Takashi Taniguchi, Frank H. L. Koppens, Johannes Lischner, Leonid Levitov, and Dmitri K. Efetov · 1911
Earlier work this paper cites.
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Douglas R. Hofstadter · 1976
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A Result Not Dependent on Rationality for Bloch Electrons in a Magnetic Field
G. H. Wannier · 1978
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Quantized Hall Conductance in a Two-Dimensional Periodic Potential
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs · 1982
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Quantised Hall effect in a two-dimensional periodic potential
P. Streda · 1982
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Quantum Hall Ferromagnetism in Graphene
Kentaro Nomura and Allan H. MacDonald · 2006
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Strongly Correlated Chern Insulators in Magic-Angle Twisted Bilayer Graphene
Kevin P. Nuckolls, Myungchul Oh, Dillon Wong, Biao Lian, Kenji Watanabe, Takashi Taniguchi, B. Andrei Bernevig, and Ali Yazdani · 2007
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Chern Insulators and Topological Flat-bands in Magic-angle Twisted Bilayer Graphene
Shuang Wu, Zhenyuan Zhang, K. Watanabe, T. Taniguchi, and Eva Y. Andrei · 2007
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Moiré bands in twisted double-layer graphene
Rafi Bistritzer and Allan H. MacDonald · 2011
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Moiré butterflies in twisted bilayer graphene
R. Bistritzer and A. H. MacDonald · 2011
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Energy spectrum and quantum Hall effect in twisted bilayer graphene
Pilkyung Moon and Mikito Koshino · 2012
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Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices
C. R. Dean, L. Wang, P. Maher, C. Forsythe, F. Ghahari, Y. Gao, J. Katoch, M. Ishigami, P. Moon, M. Koshino, T. Taniguchi, K. Watanabe, K. L. Shepard, J. Hone, and P. Kim · 2013
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Cloning of Dirac fermions in graphene superlattices
L. A. Ponomarenko, R. V. Gorbachev, G. L. Yu, D. C. Elias, R. Jalil, A. A. Patel, A. Mishchenko, A. S. Mayorov, C. R. Woods, J. R. Wallbank, M. Mucha-Kruczynski, B. A. Piot, M. Potemski, I. V. Grigorieva, K. S. Novoselov, F. Guinea, V. I. Fal/’ko, and A. K. Geim · 2013
Cited alongside, same era.
Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure
B. Hunt, J. D. Sanchez-Yamagishi, A. F. Young, M. Yankowitz, B. J. LeRoy, K. Watanabe, T. Taniguchi, P. Moon, M. Koshino, P. Jarillo-Herrero, and R. C. Ashoori · 2013
Cited alongside, same era.
One-Dimensional Electrical Contact to a Two-Dimensional Material
L. Wang, I. Meric, P. Y. Huang, Q. Gao, Y. Gao, H. Tran, T. Taniguchi, K. Watanabe, L. M. Campos, D. A. Muller, J. Guo, P. Kim, J. Hone, K. L. Shepard, and C. R. Dean · 2013
Cited alongside, same era.
Evidence for a fractional fractal quantum Hall effect in graphene superlattices
Lei Wang, Yuanda Gao, Bo Wen, Zheng Han, Takashi Taniguchi, Kenji Watanabe, Mikito Koshino, James Hone, and Cory R. Dean · 2015
Cited alongside, same era.
Tunable interacting composite fermion phases in a half-filled bilayer-graphene Landau level
A. A. Zibrov, C. Kometter, H. Zhou, E. M. Spanton, T. Taniguchi, K. Watanabe, M. P. Zaletel, and A. F. Young · 2017
Tuning superconductivity in twisted bilayer graphene
Matthew Yankowitz, Shaowen Chen, Hryhoriy Polshyn, Yuxuan Zhang, K. Watanabe, T. Taniguchi, David Graf, Andrea F. Young, and Cory R. Dean · 2019
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Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene
Xiaobo Lu, Petr Stepanov, Wei Yang, Ming Xie, Mohammed Ali Aamir, Ipsita Das, Carles Urgell, Kenji Watanabe, Takashi Taniguchi, Guangyu Zhang, Adrian Bachtold, Allan H. MacDonald, and Dmitri K. Efetov · 2019
Later among the works it cites.
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
Aaron L. Sharpe, Eli J. Fox, Arthur W. Barnard, Joe Finney, Kenji Watanabe, Takashi Taniguchi, M. A. Kastner, and David Goldhaber-Gordon · 2019
Later among the works it cites.
Landau level degeneracy in twisted bilayer graphene: Role of symmetry breaking
Ya-Hui Zhang, Hoi Chun Po, and T. Senthil · 2019
Later among the works it cites.
Landau levels in twisted bilayer graphene and semiclassical orbits
Kasra Hejazi, Chunxiao Liu, and Leon Balents · 2019
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Cited alongside, same era.
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
Yuan Cao, Valla Fatemi, Ahmet Demir, Shiang Fang, Spencer L. Tomarken, Jason Y. Luo, Javier D. Sanchez-Yamagishi, Kenji Watanabe, Takashi Taniguchi, Efthimios Kaxiras, Ray C. Ashoori, and Pablo Jarillo-Herrero · 2018
Cited alongside, same era.
Unconventional superconductivity in magic-angle graphene superlattices
Yuan Cao, Valla Fatemi, Shiang Fang, Kenji Watanabe, Takashi Taniguchi, Efthimios Kaxiras, and Pablo Jarillo-Herrero · 2018
Cited alongside, same era.
Observation of fractional Chern insulators in a van der Waals heterostructure
Eric M. Spanton, Alexander A. Zibrov, Haoxin Zhou, Takashi Taniguchi, Kenji Watanabe, Michael P. Zaletel, and Andrea F. Young · 2018
Cited alongside, same era.
Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene
Hoi Chun Po, Liujun Zou, Ashvin Vishwanath, and T. Senthil · 2018
Cited alongside, same era.
Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands
Jian Kang and Oskar Vafek · 2018
Cited alongside, same era.
Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene
Mikito Koshino, Noah F. Q. Yuan, Takashi Koretsune, Masayuki Ochi, Kazuhiko Kuroki, and Liang Fu · 2018
Cited alongside, same era.
Electrostatic effects, band distortions, and superconductivity in twisted graphene bilayers
Francisco Guinea and Niels R Walet · 2018
Cited alongside, same era.
Intrinsic quantized anomalous Hall effect in a moiré heterostructure
M. Serlin, C. L. Tschirhart, H. Polshyn, Y. Zhang, J. Zhu, K. Watanabe, T. Taniguchi, L. Balents, and A. F. Young · 2020
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Fractional Quantum Hall Effects in Graphene
Cory Dean, Philip Kim, J. I. A. Li, and Andrea Young · 2020
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Cascade of phase transitions and Dirac revivals in magic-angle graphene
U. Zondiner, A. Rozen, D. Rodan-Legrain, Y. Cao, R. Queiroz, T. Taniguchi, K. Watanabe, Y. Oreg, F. von Oppen, Ady Stern, E. Berg, P. Jarillo-Herrero, and S. Ilani · 2020
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Nature of the Correlated Insulator States in Twisted Bilayer Graphene
Ming Xie and A. H. MacDonald · 2020
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Independent superconductors and correlated insulators in twisted bilayer graphene
Yu Saito, Jingyuan Ge, Kenji Watanabe, Takashi Taniguchi, and Andrea F. Young · 2020
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The Landau Level of Fragile Topology
Biao Lian, Fang Xie, and B. Andrei Bernevig · 2020
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Disorder in twisted bilayer graphene
Justin H. Wilson, Yixing Fu, S. Das Sarma, and J. H. Pixley · 2020
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