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We study the stability and electronic structure of magic-angle twisted bilayer graphene on the hexagonal boron nitride (TBG/BN).
1911
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2001
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2005
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R. Bistritzer and A. H. MacDonald, “Moiré bands in twisted double-layer graphene,” Proc. Natl. Acad. Sci. U.S.A. 108
2011
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J. S. Alden, A. W. Tsen, P. Y. Huang, R. Hovden, L. Brown, J. Park, D. A. Muller, and P. L. McEuen, “Strain solitons and topological defects in bilayer graphene,” Proc. Natl. Acad. Sci. U.S.A. 110
2013
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K. Uchida, S. Furuya, J.-I. Iwata, and A. Oshiyama, “Atomic corrugation and electron localization due to Moiré patterns in twisted bilayer graphenes,” Phys. Rev. B 90
2014
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G. J. Slotman, M. M. van Wijk, P.-L. Zhao, A. Fasolino, M. I. Katsnelson, and S. J. Yuan, “Effect of Structural Relaxation on the Electronic Structure of Graphene on Hexagonal Boron Nitride,” Phys. Rev. Lett. 115
2015
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J. Jung, A. M. DaSilva, A. H. MacDonald, and S. Adam, “Origin of band gaps in graphene on hexagonal boron nitride,” Nat. Commun. 6
2015
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M. M. van Wijk, A. Schuring, M. I. Katsnelson, and A. Fasolino, “Relaxation of Moiré patterns for slightly misaligned identical lattices: graphene on graphite,” 2D Mater. 2
2015
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S. Fang and E. Kaxiras, “Electronic structure theory of weakly interacting bilayers,” Phys. Rev. B 93
2016
Cited alongside, same era.
S. Dai, Y. Xiang, and D. J. Srolovitz, “Twisted bilayer graphene: Moiré with a twist,” Nano Lett. 16
2016
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J. Jung, E. Laksono, A. M. DaSilva, A. H. MacDonald, M. Mucha-Kruczyński, and S. Adam, “Moiré band model and band gaps of graphene on hexagonal boron nitride,” Phys. Rev. B 96
2017
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S. K. Jain, V. Juričić, and G. T. Barkema, “Structure of twisted and buckled bilayer graphene,” 2D Mater. 4
2017
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N. N. T. Nam and M. Koshino, “Lattice relaxation and energy band modulation in twisted bilayer graphene,” Phys. Rev. B 96
2017
Cited alongside, same era.
G. Tarnopolsky, A. Jura Kruchkov, and A. Vishwanath, “Origin of Magic Angles in Twisted Bilayer Graphene,” Phys. Rev. Lett. 122
2019
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Y.-H. Zhang, D. Mao, and T. Senthil, “Twisted bilayer graphene aligned with hexagonal boron nitride: Anomalous Hall effect and a lattice model,” Phys. Rev. Research 1
2019
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H. Yoo, R. Engelke, S. Carr, S. Fang, K. Zhang, P. Cazeaux, S. H. Sung, R. Hovden, A. W. Tsen, T. Taniguchi, K. Watanabe, G.-C. Yi, M. Kim, M. Luskin, E. B. Tadmor, E. Kaxiras, and P. Kim, “Atomic and electronic reconstruction at the van der waals interface in twisted bilayer graphene,” Nat. Mater. 18
2019
Later among the works it cites.
P. Lucignano, D. Alfè, V. Cataudella, D. Ninno, and G. Cantele, “Crucial role of atomic corrugation on the flat bands and energy gaps of twisted bilayer graphene at the magic angle θ ∼ 1.08 ∘ \theta\sim 1.{08}^{\circ} ,” Phys. Rev. B 99
2019
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F. Gargiulo and O. V. Yazyev, “Structural and electronic transformation in low-angle twisted bilayer graphene,” 2D Mater. 5
2018
Cited alongside, same era.
S. Carr, D. Massatt, S. B. Torrisi, P. Cazeaux, M. Luskin, and E. Kaxiras, “Relaxation and domain formation in incommensurate two-dimensional heterostructures,” Phys. Rev. B 98
2018
Cited alongside, same era.
A. L. Sharpe, E. J. Fox, A. W. Barnard, J. Finney, K. Watanabe, T. Taniguchi, M. A. Kastner, and D. Goldhaber-Gordon, “Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene,” Science 365
2019
Cited alongside, same era.
X. Lu, P. Stepanov, W. Yang, M. Xie, M. A. Aamir, I. Das, C. Urgell, K. Watanabe, T. Taniguchi, G. Zhang, A. Bachtold, A. H. MacDonald, and D. K. Efetov, “Superconductors, orbital magnets, and correlated states in magic angle bilayer graphene,” Nature (London) 574
2019
Cited alongside, same era.
Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated insulator behaviour at half-filling in magic-angle graphene superlattices,” Nature (London) 556
Cited in the paper.
Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, “Unconventional superconductivity in magic-angle graphene superlattices,” Nature (London) 556
Cited in the paper.
See Supplemental Material for details of the computational methods and additional results about the geometry and relaxation of TBG/BN
Cited in the paper.
F. Guinea and N. R. Walet, “Continuum models for twisted bilayer graphene: Effect of lattice deformation and hopping parameters,” Phys. Rev. B 99
2019
Later among the works it cites.
A. Uri, S. Grover, Y. Cao, J.A. Crosse, K. Bagani, D. Rodan-Legrain, Y. Myasoedov, K. Watanabe, T. Taniguchi, P. Moon, M. Koshino, P. Jarillo-Herrero, and E. Zeldov, “Mapping the twist-angle disorder and Landau levels in magic-angle graphene,” Nature 581
2020
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M. Serlin, C. L. Tschirhart, H. Polshyn, Y. Zhang, J. Zhu, K. Watanabe, T. Taniguchi, L. Balents, and A. F. Young, “Intrinsic quantized anomalous Hall effect in a moiré heterostructure,” Science 367
2020
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X. Lin and J. Ni, “Symmetry breaking in the double moiré superlattices of relaxed twisted bilayer graphene on hexagonal boron nitride,” Phys. Rev. B 102
2020
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N. Bultinck, S. Chatterjee, and M. P. Zaletel, “Mechanism for Anomalous Hall Ferromagnetism in Twisted Bilayer Graphene,” Phys. Rev. Lett. 124
2020
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