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Rhombohedral graphene multilayers host various broken-symmetry metallic phases as well as superconductors whose pairing mechanism and order parameter symmetry remain unsettled. Strikingly, experiments have revealed prominent new superconducting regions in rhombohedral bilayer and trilayer graphene devices with proximity-induced Ising spin-orbit coupling. We propose that these superconductors descend from a common spin-canted normal state that spontaneously breaks a U (1) spin symmetry and thus supports a gapless (Goldstone) magnon mode. In particular, we develop a scenario wherein pairing in the spin-canted state emerges from a novel type of magnon-mediated attraction: Contrary to conventional mechanisms that involve the exchange of a single boson, we show that second-order processes that exchange two magnons are dominant and produce an s-wave pairing interaction featuring a unique logarithmic low-frequency divergence. This low-frequency divergence disappears when spin-orbit coupling vanishes, providing a promising explanation for spin-orbit-enabled pairing. Numerous other experimental observations -- including nontrivial dependence of superconductivity on the spin-orbit coupling strength, in-plane magnetic fields, and Fermi surface structure -- also naturally follow from our scenario.
Dong et al. (2024) studied this question.