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We develop a two stage renormalization group which connects the continuum Hamiltonian for twisted bilayer graphene at length scales shorter than the moire superlattice period to the Hamiltonian for the active narrow bands only which is valid at distances much longer than the moire period.
1905
Earlier work this paper cites.
1907
Earlier work this paper cites.
1911
Earlier work this paper cites.
J. Gonzalez, F. Guinea. and A.H. Vozmediano, “Non-Fermi liquid behavior of electrons in the half-filled honeycomb lattice (A renormalization group approach”, Nucl. Phys. B 424
1994
Earlier work this paper cites.
I.F. Herbut, “Quantum Critical Points with the Coulomb Interaction and the Dynamical Exponent: When and Why z=1” Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
2004
Earlier work this paper cites.
2004
Earlier work this paper cites.
2006
Earlier work this paper cites.
Y. Ren et al., “WKB estimate of bilayer graphene’s magic twist angles”, arXiv:2006.13292
2006
Earlier work this paper cites.
O. Vafek, “Anomalous Thermodynamics of Coulomb-Interacting Massless Dirac Fermions in Two Spatial Dimensions” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
D.E. Sheehy and J. Schmalian, “Quantum Critical Scaling in Graphene”, Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
2007
Earlier work this paper cites.
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
G. Borghi, M. Polini, R. Asgari, and A.H. MacDonald, “Fermi velocity enhancement in monolayer and bilayer graphene”, Solid State Comm. 149
2009
Earlier work this paper cites.
2009
Earlier work this paper cites.
D.C. Elias et al., “Dirac cones reshaped by interaction effects in suspended graphene”, Nat.Phys. 7
2011
Earlier work this paper cites.
R. Bistritzer and A. H. MacDonald, “Moire bands in twisted double-layer graphene,” Proc. Natl. Acad. Sci. U.S.A. 108
2011
Earlier work this paper cites.
G.L. Yu et al., “Interaction phenomena in graphene seen through quantum capacitance”, PNAS 110
2013
Earlier work this paper cites.
E. Barnes, E. H. Hwang, R. E. Throckmorton, and S. Das Sarma, “Effective field theory, three-loop perturbative expansion, and their experimental implications in graphene many-body effects” Phys. Rev. B 89
2014
Earlier work this paper cites.
B. M. Hunt et al., “Direct measurement of discrete valley and orbital quantum numbers in bilayer graphene”, Nat. Commun. 8
2017
Earlier work this paper cites.
N.N.T. Nam and M. Koshino, “Lattice relaxation and energy band modulation in twisted bilayer graphene” Phys. Rev. B, 96
2017
Earlier work this paper cites.
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 556
2018
Earlier work this paper cites.
Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, “Unconventional superconductivity in magic-angle graphene superlattices,” Nature 556
2018
Earlier work this paper cites.
C. Xu and L. Balents, “Topological Superconductivity in Twisted Multilayer Graphene”, Phys. Rev. Lett. 121
2018
Earlier work this paper cites.
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
Earlier work this paper cites.
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
Earlier work this paper cites.
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
Earlier work this paper cites.
C.-C. Liu, L.-D. Zhang, W.-Q. Chen, and F. Yang, “Chiral spin density wave and d + id superconductivity in the magic-angle-twisted bilayer graphene”, Phys. Rev. Lett. 121
2018
Earlier work this paper cites.
F. Wu, A. H. MacDonald, and I. Martin, “Theory of phonon-mediated superconductivity in twisted bilayer graphene”, Phys. Rev. Lett. 121
2018
Cited alongside, same era.
Hiroki Isobe, Noah F. Q. Yuan, and Liang Fu, “Unconventional superconductivity and density waves in twisted bilayer graphene,” Phys. Rev. X 8
2018
Cited alongside, same era.
H. Guo, X. Zhu, S. Feng, and R. T. Scalettar, “Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice”, Phys. Rev. B 97
2018
Cited alongside, same era.
F. Guinea and N. R Walet, “Electrostatic effects, band distortions, and superconductivity in twisted graphene bilayers,” Proc. Natl. Acad. Sci. U.S.A. 115
2018
Cited alongside, same era.
A. Thomson, S. Chatterjee, S. Sachdev, and M. S.Scheurer, “Triangular antiferromagnetism on the honeycomb lattice of twisted bilayer graphene”, Phys. Rev. B 98
Y.-H. Zhang, D. Mao, Y. Cao, P. Jarillo-Herrero, and T. Senthil, “Nearly flat chern bands in moire superlattices,” Phys. Rev. B 99
2019
Later among the works it cites.
Q.-K. Tang, L. Yang, D. Wang, F.-C. Zhang, and Q.-H. Wang, “Spin-triplet f-wave pairing in twisted bilayer graphene near 1 4 \frac{1}{4} -filling,” Phys. Rev. B 99
2019
Later among the works it cites.
J. Y. Lee, E. Khalaf, S. Liu, X. Liu, Z. Hao, P. Kim, and A. Vishwanath, “Theory of correlated insulating behavior and spin-triplet superconductivity in twisted double bilayer graphene,” Nat. Commun. 10
2019
Later among the works it cites.
B. Roy and V. Juričić, “Unconventional superconductivity in nearly flat bands in twisted bilayer graphene,” Phys. Rev. B 99
2019
Later among the works it cites.
P. Lucignano, D. Alfé, 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
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2018
Cited alongside, same era.
J. F. Dodaro, S. A. Kivelson, Y. Schattner, X. Q. Sun, and C. Wang, “Phases of a phenomenological model of twisted bilayer graphene,” Phys. Rev. B 98
2018
Cited alongside, same era.
L. Zou, H. C. Po, A. Vishwanath, and T. Senthil, “Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions,” Phys. Rev. B 98
2018
Cited alongside, same era.
M. Ochi, M. Koshino, K. Kuroki, “Possible correlated insulating states in magic-angle twisted bilayer graphene under strongly competing interactions”, Phys. Rev. B 98
2018
Cited alongside, same era.
Louk Rademaker and Paula Mellado, “Charge-transfer insulation in twisted bilayer graphene,” Phys. Rev. B 98
2018
Cited alongside, same era.
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
Cited alongside, same era.
M. Yankowitz, S. Chen, H. Polshyn, Y. Zhang, K. Watanabe, T. Taniguchi, D. Graf, A. F. Young, and C. R. Dean, “Tuning superconductivity in twisted bilayer graphene,”, Science 363
2019
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.
2019
Later among the works it cites.
X.-C. Wu, A. Keselman, C.-M. Jian, K. A. Pawlak, and C. Xu, “Ferromagnetism and spin-valley liquid states in moire correlated insulators,” Phys. Rev. B 100
2019
Later among the works it cites.
Y.-P. Lin and R. M. Nandkishore, “Chiral twist on the high-T c
2019
Later among the works it cites.
Y. H. Zhang, H. C. Po, and T. Senthil, “Landau level degeneracy in twisted bilayer graphene: Role of symmetry breaking” Phys. Rev. B 100
2019
Later among the works it cites.
L. Balents, “General continuum model for twisted bilayer graphene and arbitrary smooth deformations”, SciPost Phys., 7
2019
Later among the works it cites.
G. Tarnopolsky, A. J. Kruchkov, and A. Vishwanath, “Origin of magic angles in twisted bilayer graphene,” Phys. Rev. Lett. 122
2019
Later among the works it cites.
P. Stepanov, I. Das, X. Lu, A. Fahimniya, K. Watanabe, T. Taniguchi, F. H. L. Koppens, J. Lischner, L. Levitov, D. K. Efetov, “Untying the insulating and superconducting orders in magic-angle graphene”, Nature 583
2020
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2020
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2020
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2020
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S. Chatterjee, N. Bultinck, and M. P. Zaletel, “Symmetry breaking and skyrmionic transport in twisted bilayer graphene,” Phys. Rev. B 101
2020
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T. Cea and F. Guinea, “Band structure and insulating states driven by Coulomb interaction in twisted bilayer graphene”, Phys. Rev. B 102
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