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Superconductivity from spin-canting fluctuations in rhombohedral graphene

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arxiv 2406.17036 v4 pith:3FH6N2NS submitted 2024-06-24 cond-mat.supr-con cond-mat.mes-hallcond-mat.str-el

Zhiyu Dong , Étienne Lantagne-Hurtubise , Jason Alicea This is my paper
classification cond-mat.supr-concond-mat.mes-hallcond-mat.str-el
keywords couplinggraphenepairingrhombohedralspin-orbitmodessoftsuperconductivity
verification ladder T0 review T1 audit T2 compute T3 formal
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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 soft magnon modes. In particular, we show that these soft modes can mediate pairing through inter-band scattering events that are symmetry-forbidden in the absence of spin-orbit coupling, thus 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Superconductivity via paramagnon and magnon exchange in a 2D near-ferromagnetic full metal and ferromagnetic half-metal

    cond-mat.supr-con 2025-06 conditional novelty 8.0 of 10

    In a 2D model with a short-range repulsion, the fully spin-polarized half-metal phase has an attractive odd-parity pairing interaction from two-magnon exchange, with a pairing scale possibly reaching a substantial fra...

  2. Superconductivity induced by spin-orbit coupling in a two-valley ferromagnet

    cond-mat.supr-con 2025-06 conditional novelty 7.0 of 10

    In a canted ferromagnet with Ising spin-orbit coupling, two-magnon processes generate an attractive, SOC-induced pairing interaction that may drive superconductivity despite static repulsion.

  3. Spontaneous vortex lattice due to orbital magnetization in valley polarized superconductors

    cond-mat.supr-con 2025-05 conditional novelty 7.0 of 10

    The paper predicts that orbital magnetization in valley-polarized superconductors can spontaneously create a vortex lattice, with a concrete estimate for rhombohedral graphene.

  4. Magnon-Mediated Superconductivity in a 2D Itinerant Ferromagnet with Weak Easy-plane Magnetic Anisotropy

    cond-mat.supr-con 2026-07 conditional novelty 6.0 of 10

    Weak easy-plane anisotropy generates attractive equal-spin p-wave pairing via two-magnon exchange in a 2D half-metal, with λp enhanced to O(1) near the ferromagnetic onset.

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