Correlation-induced triplet pairing superconductivity in graphene-based moiré systems

Abstract

Motivated by the possible non-spin-singlet superconductivity in the magic-angle twisted trilayer graphene experiment, we investigate the triplet-pairing superconductivity arising from a correlation-induced spin-fermion model on a honeycomb lattice. We find that the $f$-wave pairing is favored due to the valley-sublattice structure, and the superconducting state is time-reversal symmetric, fully gapped, and non-topological. With a small in-plane magnetic field, the superconducting state becomes partially polarized, and the transition temperature can be slightly enhanced. Our results apply qualitatively for the triplet-pairing superconductivity in graphene-based moiré systems, which is fundamentally distinct from triplet superconductivity in ${}^3$He and ferromagnetic superconductors.

7+8 pages, 3+2 figures. v2: Substantial revision with updated figures, new references, and a new discussion on experimental detection. v3: Published version

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• Superconductivity in Twisted Double Bilayer Graphene Stabilized by WSe${}_2$
• Higher-order van Hove singularity in magic-angle twisted trilayer graphene
• Acoustic-phonon-mediated superconductivity in moiréless graphene multilayers
• Enhanced superconductivity through virtual tunneling in Bernal bilayer graphene coupled to WSe${}_2$
• Magic-Angle Twisted Symmetric Trilayer Graphene as Topological Heavy Fermion Problem
• Stabilizing fluctuating spin-triplet superconductivity in graphene via induced spin-orbit coupling
• Moiré phonons and impact of electronic symmetry breaking in twisted trilayer graphene
• Proximity-induced collective modes in an unconventional superconductor heterostructure
• Transport anisotropy and metal-insulator transition in striped Dirac fermion systems
• Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene