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.

arXiv comment6 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
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• Probing the Berezinskii-Kosterlitz-Thouless vortex unbinding transition in two-dimensional superconductors using local noise magnetometry
• Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
• Valley polarization, magnetization, and superconductivity in bilayer graphene near the van Hove singularity
• Heavy-quark dominance and fine structure of excited heavy baryons ${\Sigma }_Q$, ${\Xi }_Q^{\prime }$ and ${\Omega }_Q$
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