Stabilizing fluctuating spin-triplet superconductivity in graphene via induced spin-orbit coupling

Abstract

A recent experiment showed that proximity induced Ising spin-orbit coupling enhances the spin-triplet superconductivity in Bernal bilayer graphene. Here, we show that, due to the nearly perfect spin rotation symmetry of graphene, the fluctuations of the spin orientation of the triplet order parameter suppress the superconducting transition to nearly zero temperature. Our analysis shows that both Ising spin-orbit coupling and in-plane magnetic field can eliminate these low-lying fluctuations and can greatly enhance the transition temperature, consistent with the recent experiment. Our model also suggests the possible existence of a phase at small anisotropy and magnetic field which exhibits quasi-long-range ordered spin-singlet charge 4e superconductivity, even while the triplet 2e superconducting order only exhibits short-ranged correlations. Finally, we discuss relevant experimental signatures.

6 pages, 2 figures + 8 pages, 1 figure supplemental

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• Superconductivity and spin canting in spin-orbit proximitized rhombohedral trilayer graphene
• Gate-Defined Topological Josephson Junctions in Bernal Bilayer Graphene
• Superconductivity from repulsive interactions in Bernal-stacked bilayer graphene
• Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
• Symmetry-broken metallic orders in spin-orbit-coupled Bernal bilayer graphene
• Vestigial singlet pairing in a fluctuating magnetic triplet superconductor: Applications to graphene moiré systems
• Topological flat bands, valley polarization, and interband superconductivity in magic-angle twisted bilayer graphene with proximitized spin-orbit couplings
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• Heavy-quark dominance and fine structure of excited heavy baryons ${\Sigma }_Q$, ${\Xi }_Q^{\prime }$ and ${\Omega }_Q$
• Local condensation of charge-$4e$ superconductivity at a nematic domain wall
• Andreev reflection in normal metal/charge-4e superconductor junctions
• Full, three-quarter, half and quarter Wigner crystals in Bernal bilayer graphene
• Topological phases, van Hove singularities, and spin texture in magic-angle twisted bilayer graphene in the presence of proximity-induced spin-orbit couplings
• Pair density wave in quarter metals from a repulsive fermionic interaction in graphene heterostructures: A renormalization group study
• Charge density waves and stripes in quarter metals of graphene heterostructures