Motivated by a scarcity of simple and analytically tractable models of superconductivity from strong repulsive interactions, we introduce a simple tight-binding lattice model of fermions with repulsive interactions that exhibits unconventional superconductivity (beyond BCS theory). The model resembles an idealized conductor-dielectric-conductor trilayer. The Cooper pair consists of electrons on opposite sides of the dielectric, which mediates the attraction. In the strong coupling limit, we use degenerate perturbation theory to show that the model reduces to a superconducting hard-core Bose-Hubbard model. Above the superconducting critical temperature, an analog of pseudo-gap physics results where the fermions remain Cooper paired with a large single-particle energy gap.
Cited by 7
Slagle, Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model
SciPost Phys. 7, 046 (2019) [Crossref]
González et al., Magnetic phases from competing Hubbard and extended Coulomb interactions in twisted bilayer graphene
Phys. Rev. B 104, 115110 (2021) [Crossref]
González et al., Marginal Fermi Liquid in Twisted Bilayer Graphene
Phys. Rev. Lett. 124, 186801 (2020) [Crossref]
González et al., Time-reversal symmetry breaking versus chiral symmetry breaking in twisted bilayer graphene
Phys. Rev. B 102, 081118 (2020) [Crossref]
Pons et al., Flat-band ferromagnetism in twisted bilayer graphene
Phys. Rev. B 102, 235101 (2020) [Crossref]
Margetis et al., Theory of plasmonic edge states in chiral bilayer systems
Phys. Rev. B 104, 115422 (2021) [Crossref]
Slagle et al., Charge transfer excitations, pair density waves, and superconductivity in moiré materials
Phys. Rev. B 102, 235423 (2020) [Crossref]
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- 1 2 Kevin Slagle,
- 2 3 Yong Baek Kim
- 1 California Institute of Technology [CalTech]
- 2 University of Toronto
- 3 Institut Canadien de Recherches Avancées / Canadian Institute for Advanced Research [CIFAR/ICRA]