Coulomb interaction, phonons, and superconductivity in twisted bilayer graphene

Abstract

The polarizability of twisted bilayer graphene, due to the combined effect of electron-hole pairs, plasmons, and acoustic phonons is analyzed. The screened Coulomb interaction allows for the for- mation of Cooper pairs and superconductivity in a significant range of twist angles and fillings. The tendency toward superconductivity is enhanced by the coupling between longitudinal phonons and electron-hole pairs. Scattering processes involving large momentum transfers, Umklapp processes, play a crucial role in the formation of Cooper pairs. The magnitude of the superconducting gap changes among the different pockets of the Fermi surface.

arXiv comment19 pages, 14 figures

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Cited by in corpus (59)

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• Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
• In-plane critical magnetic fields in magic-angle twisted trilayer graphene
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• Theory of correlated insulators and superconductivity in twisted bilayer graphene
• Band Structure and Superconductivity in Twisted Trilayer Graphene
• Dichotomy of Electron-Phonon Coupling in Graphene Moiré Flat Bands
• Correlated metals and unconventional superconductivity in rhombohedral trilayer graphene: A renormalization group analysis
• Unconventional superconductivity due to interband polarization
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• Does filling-dependent band renormalization aid pairing in twisted bilayer graphene?
• Massive Dirac fermions in moiré superlattices: a route towards topological flat minibands
• Degradation of phonons in disordered moiré superlattices
• Local Kekulé distortion turns twisted bilayer graphene into topological Mott insulators and superconductors
• 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
• Charge fluctuations, phonons and superconductivity in multilayer graphene
• Low-energy moiré phonons in twisted bilayer van der Waals heterostructures
• Euler Obstructed Cooper Pairing in Twisted Bilayer Graphene: Nematic Nodal Superconductivity and Bounded Superfluid Weight
• Flat-band plasmons in twisted bilayer transition metal dichalcogenides
• Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
• Quantum Geometric Kohn-Luttinger Superconductivity
• Flat bands, electron interactions and magnetic order in magic-angle mono-trilayer graphene
• Pseudospin Paramagnons and the Superconducting Dome in Magic Angle Twisted Bilayer Graphene
• Electron-K-Phonon Interaction In Twisted Bilayer Graphene
• Tunable interband and intraband plasmons in twisted double bilayer graphene
• Enhanced Kohn-Luttinger topological superconductivity in bands with nontrivial geometry
• Geometric superfluid weight of composite bands in multiorbital superconductors
• Superconductivity and magnetism in the surface states of ABC-stacked multilayer graphene
• Electron-phonon coupling in a magic-angle twisted-bilayer graphene device
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Junctions and superconducting symmetry in twisted bilayer graphene
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Moiré optical phonons dancing with heavy electrons in magic-angle twisted bilayer graphene
• Electron phonon coupling in the topological heavy fermion model of twisted bilayer graphene
• Doping fingerprints of spin and lattice fluctuations in moiré superlattice systems
• Topological Chiral Superconductivity Mediated by Intervalley Antiferromagnetic Fluctuations in Twisted Bilayer WSe${}_2$
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Anomalous Higgs oscillations mediated by Berry curvature and quantum metric
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• Twisted bilayer graphene reveals its flat bands under spin pumping
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• Short vs. long range exchange interactions in twisted bilayer graphene
• Chiral superconductivity from spin polarized Chern band in twisted MoTe${}_2$
• Nodal Nematic Superconductivity in Multiple-Flat-Band Land
• Coulomb-driven band unflattening suppresses $K$-phonon pairing in moiré graphene
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• Momentum-resolved spectroscopy of superconductivity with the quantum twisting microscope
• Interaction-mitigated Landau damping
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• Magic distances in twisted bilayer graphene
• Magnetic Ordering in Moiré Graphene Multilayers from a Continuum Hartree+U Approach
• Electrostatic interactions in twisted bilayer graphene
• Interaction-driven charge textures and unconventional superconductivity in strained monolayer graphene
• Straintronics and twistronics in bilayer graphene
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• High conductivity from cross-band electron pairing in flat-band systems