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We present exact results that give insight into how interactions lead to transport and superconductivity in a flat band where the electrons have no kinetic energy.
Shun-Qing Shen and Zhao-Ming Qiu, “Exact demonstration of off-diagonal long-range order in the ground state of a hubbard model,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
Nicola Marzari and David Vanderbilt, “Maximally localized generalized wannier functions for composite energy bands,” Phys. Rev. B 56
1997
Earlier work this paper cites.
Christian Brouder, Gianluca Panati, Matteo Calandra, Christophe Mourougane, and Nicola Marzari, “Exponential localization of wannier functions in insulators,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
Sebastian D. Huber and Ehud Altman, “Bose condensation in flat bands,” Phys. Rev. B 82
2010
Earlier work this paper cites.
N. B. Kopnin, T. T. Heikkilä, and G. E. Volovik, “High-temperature surface superconductivity in topological flat-band systems,” Phys. Rev. B 83
2011
Earlier work this paper cites.
Alexey A. Soluyanov and David Vanderbilt, “Wannier representation of ℤ 2 \mathbb{Z}_{2} topological insulators,” Phys. Rev. B 83
2011
Earlier work this paper cites.
Titus Neupert, Luiz Santos, Claudio Chamon, and Christopher Mudry, “Fractional quantum hall states at zero magnetic field,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
Nicola Marzari, Arash A. Mostofi, Jonathan R. Yates, Ivo Souza, and David Vanderbilt, “Maximally localized wannier functions: Theory and applications,” Rev. Mod. Phys. 84
2012
Earlier work this paper cites.
Alexey A. Soluyanov and David Vanderbilt, “Smooth gauge for topological insulators,” Phys. Rev. B 85
2012
Earlier work this paper cites.
Siddharth A. Parameswaran, Rahul Roy, and Shivaji L. Sondhi, “Fractional quantum hall physics in topological flat bands,” Comptes Rendus Physique 14
2013
Earlier work this paper cites.
Mohit Randeria and Edward Taylor, “Crossover from bardeen-cooper-schrieffer to bose-einstein condensation and the unitary fermi gas,” Annual Review of Condensed Matter Physics 5
2014
Earlier work this paper cites.
Haruki Watanabe, Hoi Chun Po, Ashvin Vishwanath, and Michael Zaletel, “Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals,” Proceedings of the National Academy of Sciences 112
2015
Earlier work this paper cites.
Sebastiano Peotta and Päivi Törmä, “Superfluidity in topologically nontrivial flat bands,” Nature Communications 6
2015
Cited alongside, same era.
Aleksi Julku, Sebastiano Peotta, Tuomas I. Vanhala, Dong-Hee Kim, and Päivi Törmä, “Geometric origin of superfluidity in the lieb-lattice flat band,” Phys. Rev. Lett. 117
2016
Cited alongside, same era.
Keita Kobayashi, Masahiko Okumura, Susumu Yamada, Masahiko Machida, and Hideo Aoki, “Superconductivity in repulsively interacting fermions on a diamond chain: Flat-band-induced pairing,” Phys. Rev. B 94
2016
Cited alongside, same era.
Murad Tovmasyan, Sebastiano Peotta, Päivi Törmä, and Sebastian D. Huber, “Effective theory and emergent SU ( 2 ) \text{SU}(2) symmetry in the flat bands of attractive hubbard models,” Phys. Rev. B 94
2016
Cited alongside, same era.
Xiang Hu, Timo Hyart, Dmitry I. Pikulin, and Enrico Rossi, “Geometric and conventional contribution to the superfluid weight in twisted bilayer graphene,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
Tamaghna Hazra, Nishchhal Verma, and Mohit Randeria, “Bounds on the superconducting transition temperature: Applications to twisted bilayer graphene and cold atoms,” Phys. Rev. X 9
2019
Later among the works it cites.
Leon Balents, Cory R. Dean, Dmitri K. Efetov, and Andrea F. Young, “Superconductivity and strong correlations in moiré flat bands,” Nature Physics 16
2020
Later among the works it cites.
Fang Xie, Zhida Song, Biao Lian, and B. Andrei Bernevig, “Topology-bounded superfluid weight in twisted bilayer graphene,” Phys. Rev. Lett. 124
2020
Later among the works it cites.
A. Julku, T. J. Peltonen, L. Liang, T. T. Heikkilä, and P. Törmä, “Superfluid weight and berezinskii-kosterlitz-thouless transition temperature of twisted bilayer graphene,” Phys. Rev. B 101
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2017
Cited alongside, same era.
Barry Bradlyn, L. Elcoro, Jennifer Cano, M. G. Vergniory, Zhijun Wang, C. Felser, M. I. Aroyo, and B. Andrei Bernevig, “Topological quantum chemistry,” Nature 547
2017
Cited alongside, same era.
Long Liang, Tuomas I. Vanhala, Sebastiano Peotta, Topi Siro, Ari Harju, and Päivi Törmä, “Band geometry, berry curvature, and superfluid weight,” Phys. Rev. B 95
2017
Cited alongside, same era.
Hoi Chun Po, Liujun Zou, Ashvin Vishwanath, and T. Senthil, “Origin of mott insulating behavior and superconductivity in twisted bilayer graphene,” Phys. Rev. X 8
2018
Cited alongside, same era.
Rubem Mondaini, G. G. Batrouni, and B. Grémaud, “Pairing and superconductivity in the flat band: Creutz lattice,” Phys. Rev. B 98
2018
Cited alongside, same era.
Domenico Monaco, Gianluca Panati, Adriano Pisante, and Stefan Teufel, “Optimal decay of wannier functions in chern and quantum hall insulators,” Communications in Mathematical Physics 359
2018
Cited alongside, same era.
Hoi Chun Po, Liujun Zou, T. Senthil, and Ashvin Vishwanath, “Faithful tight-binding models and fragile topology of magic-angle bilayer graphene,” Phys. Rev. B 99
2019
Cited alongside, same era.
Zhida Song, Zhijun Wang, Wujun Shi, Gang Li, Chen Fang, and B. Andrei Bernevig, “All magic angles in twisted bilayer graphene are topological,” Phys. Rev. Lett. 123
2019
Cited alongside, same era.
2020
Later among the works it cites.
Zhiqiang Wang, Gaurav Chaudhary, Qijin Chen, and K. Levin, “Quantum geometric contributions to the bkt transition: Beyond mean field theory,” Phys. Rev. B 102
2020
Later among the works it cites.
Johannes S. Hofmann, Erez Berg, and Debanjan Chowdhury, “Superconductivity, pseudogap, and phase separation in topological flat bands,” Phys. Rev. B 102
2020
Later among the works it cites.
Hideo Aoki, “Theoretical possibilities for flat band superconductivity,” Journal of Superconductivity and Novel Magnetism 33
2020
Later among the works it cites.
Hal Tasaki, Physics and Mathematics of Quantum Many-Body Systems (Springer International Publishing, 2020)
2020
Later among the works it cites.
Jeong Min Park, Yuan Cao, Kenji Watanabe, Takashi Taniguchi, and Pablo Jarillo-Herrero, “Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene,” Nature 590
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