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Recent experiments on twisted bilayer graphene show the urgent need for establishing a low-energy lattice model for the system.
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J. M. B. Lopes dos Santos, N. M. R. Peres, and A. H. Castro Neto, Graphene bilayer with a twist: Electronic structure, Phys. Rev. Lett. 99
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2011
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2017
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M. Fidrysiak, M. Zegrodnik, and J. Spałek, Unconventional topological superconductivity and phase diagram for an effective two-orbital model as applied to twisted bilayer graphene, Phys. Rev. B 98
2018
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2018
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D. M. Kennes, J. Lischner, and C. Karrasch, Strong correlations and d + 𝑖𝑑 d+\mathit{id} superconductivity in twisted bilayer graphene, Phys. Rev. B 98
2018
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A. Thomson, S. Chatterjee, S. Sachdev, and M. S. Scheurer, Triangular antiferromagnetism on the honeycomb lattice of twisted bilayer graphene, Phys. Rev. B 98
2018
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J. W. F. Venderbos and R. M. Fernandes, Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene, Phys. Rev. B 98
2018
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N. F. Q. Yuan and L. Fu, Model for the metal-insulator transition in graphene superlattices and beyond, Phys. Rev. B 98
2018
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Y. Sherkunov and J. J. Betouras, Electronic phases in twisted bilayer graphene at magic angles as a result of van hove singularities and interactions, Phys. Rev. B 98
2019
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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, 365
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, Nature Materials 18
2019
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F. Guinea and N. R. Walet, Continuum models for twisted bilayer graphene: Effect of lattice deformation and hopping parameters, Phys. Rev. B 99
2019
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2018
Cited alongside, same era.
E. Laksono, J. N. Leaw, A. Reaves, M. Singh, X. Wang, S. Adam, and X. Gu, Singlet superconductivity enhanced by charge order in nested twisted bilayer graphene fermi surfaces, Solid State Communications 282
2018
Cited alongside, same era.
B. Padhi, C. Setty, and P. W. Phillips, Doped twisted bilayer graphene near magic angles: Proximity to wigner crystallization, not mott insulation, Nano Letters 18
2018
Cited alongside, same era.
M. Koshino, N. F. Q. Yuan, T. Koretsune, M. Ochi, K. Kuroki, and L. Fu, Maximally localized wannier orbitals and the extended hubbard model for twisted bilayer graphene, Phys. Rev. X 8
2018
Cited alongside, same era.
J. Kang and O. Vafek, Symmetry, maximally localized wannier states, and a low-energy model for twisted bilayer graphene narrow bands, Phys. Rev. X 8
2018
Cited alongside, same era.
H. C. Po, L. Zou, A. Vishwanath, and T. Senthil, Origin of mott insulating behavior and superconductivity in twisted bilayer graphene, Phys. Rev. X 8
2018
Cited alongside, same era.
Y. Su and S.-Z. Lin, Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de gennes approach, Phys. Rev. B 98
2018
Cited alongside, same era.
T. J. Peltonen, R. Ojajärvi, and T. T. Heikkilä, Mean-field theory for superconductivity in twisted bilayer graphene, Phys. Rev. B 98
2018
Cited alongside, same era.
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A. Kerelsky, L. J. McGilly, D. M. Kennes, L. Xian, M. Yankowitz, S. Chen, K. Watanabe, T. Taniguchi, J. Hone, C. Dean, A. Rubio, and A. N. Pasupathy, Maximized electron interactions at the magic angle in twisted bilayer graphene, Nature 572
2019
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2019
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Y.-W. Liu, J.-B. Qiao, C. Yan, Y. Zhang, S.-Y. Li, and L. He, Magnetism near half-filling of a van hove singularity in twisted graphene bilayer, Phys. Rev. B 99
2019
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L. Classen, C. Honerkamp, and M. M. Scherer, Competing phases of interacting electrons on triangular lattices in moiré heterostructures, Phys. Rev. B 99
2019
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J. Kang and O. Vafek, Strong coupling phases of partially filled twisted bilayer graphene narrow bands, Phys. Rev. Lett. 122
2019
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Q.-K. Tang, L. Yang, D. Wang, F.-C. Zhang, and Q.-H. Wang, Spin-triplet f f -wave pairing in twisted bilayer graphene near 1 4 \frac{1}{4} -filling, Phys. Rev. B 99
2019
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J. M. Pizarro, M. J. Calderón, and E. Bascones, The nature of correlations in the insulating states of twisted bilayer graphene, Journal of Physics Communications 3
2019
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B. Roy and V. Juričić, Unconventional superconductivity in nearly flat bands in twisted bilayer graphene, Phys. Rev. B 99
2019
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Y.-Z. You and A. Vishwanath, Superconductivity from valley fluctuations and approximate SO(4) symmetry in a weak coupling theory of twisted bilayer graphene, npj Quantum Materials 4
2019
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J. González and T. Stauber, Kohn-luttinger superconductivity in twisted bilayer graphene, Phys. Rev. Lett. 122
2019
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K. Seo, V. N. Kotov, and B. Uchoa, Ferromagnetic mott state in twisted graphene bilayers at the magic angle, Phys. Rev. Lett. 122
2019
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2019
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2019
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F. Wu, Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene, Phys. Rev. B 99
2019
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B. Lian, Z. Wang, and B. A. Bernevig, Twisted bilayer graphene: A phonon-driven superconductor, Phys. Rev. Lett. 122
2019
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2019
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2019
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