Band Structure and Superconductivity in Twisted Trilayer Graphene

Abstract

We study the symmetries of twisted trilayer graphene's band structure under various extrinsic perturbations, and analyze the role of long-range electron-electron interactions near the first magic angle. The electronic structure is modified by these interactions in a similar way to twisted bilayer graphene. We analyze electron pairing due to long-wavelength charge fluctuations, which are coupled among themselves via the Coulomb interaction and additionally mediated by longitudinal acoustic phonons. We find superconducting phases with either spin singlet/valley triplet or spin triplet/valley singlet symmetry, with critical temperatures of up to a few Kelvin for realistic choices of parameters.

arXiv comment14 pages, 8 figures

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• Functional Renormalization Group Study of Superconductivity in Rhombohedral Trilayer Graphene
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• Magic-Angle Twisted Symmetric Trilayer Graphene as Topological Heavy Fermion Problem
• Multi-scale lattice relaxation in general twisted trilayer graphenes
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• Engineering Proximity Exchange by Twisting: Reversal of Ferromagnetic and Emergence of Antiferromagnetic Dirac Bands in Graphene/Cr${}_2$Ge${}_2$Te${}_6$
• Topological flat bands in rhombohedral tetralayer and multilayer graphene on hexagonal boron nitride moire superlattices
• Strong manipulation of the valley splitting upon twisting and gating in MoSe${}_2$/CrI${}_3$ and WSe${}_2$/CrI${}_3$ van der Waals heterostructures
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• Proximity spin-orbit and exchange coupling in ABA and ABC trilayer graphene van der Waals heterostructures
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• Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
• Evolution of Superconductivity in Twisted Graphene Multilayers
• Why the first magic-angle is different from others in twisted graphene bilayers: interlayer currents, kinetic and confinement energy and wavefunction localization
• Moire Band Structures of the Double twisted Few Layer Graphene
• Geometric superfluid weight of composite bands in multiorbital superconductors
• Energetic stability and spatial inhomogeneity in the local electronic structure of relaxed twisted trilayer graphene
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• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Superconducting magic-angle twisted trilayer graphene hosts competing magnetic order and moiré inhomogeneities
• Electronic structure of biased alternating-twist multilayer graphene
• Imaging Coulomb interactions and migrating Dirac cones in twisted graphene by local quantum oscillations
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• Moiré Band Engineering in Twisted Trilayer WSe2
• Short vs. long range exchange interactions in twisted bilayer graphene
• Optical response of alternating twisted trilayer graphene
• Hofstadter-Moiré Butterfly in Twisted Trilayer Graphene
• Giant Shear Displacement by Light-Induced Raman Force in Bilayer Graphene
• Shift current response in twisted double bilayer graphenes
• Sliding-dependent electronic structures of alternating-twist tetralayer graphene
• Magic angle and plasmon mode engineering in twisted trilayer graphene with pressure
• Current-induced re-entrant superconductivity and extreme nonreciprocal superconducting diode effect in valley-polarized systems
• Straintronics and twistronics in bilayer graphene