Unconventional superconductivity due to interband polarization

Abstract

We analyze in detail the superconductivity that arises in an extended Hubbard model describing a multiband system with repulsive interactions. We show that virtual interband processes induce an effective attractive interaction for small momentum transfers, a situation not found in most models of superconductivity from repulsion. This attraction can be traced back, in real space, to the presence of correlated hopping terms induced by interband polarization. We reveal this physics with both strong-coupling expansion and many-body perturbation theory, supplemented by numerical calculations. Finally, we point out interesting similarities with the problem of interacting electrons in twisted bilayer graphene, suggesting the importance of interband contribution to superconductivity.

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• Superconductivity induced by the inter-valley Coulomb scattering in a few layers of graphene
• Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
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• Interactions mediated by atoms, photons, electrons, and excitons
• Quantum many-body scars of spinless fermions with density-assisted hopping in higher dimensions
• Chiral model of twisted bilayer graphene realized in a monolayer
• Bipolaronic superconductivity out of a Coulomb gas
• Junctions and superconducting symmetry in twisted bilayer graphene
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Superconductivity induced by strong electron-exciton coupling in doped atomically thin semiconductor heterostructures
• Superconductivity of repulsive spinless fermions with sublattice potentials
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Attractive Haldane bilayers for trapping non-Abelian anyons
• Twists and turns of superconductivity from a repulsive dynamical interaction
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• Boundary obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field
• Magnonic Superconductivity
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