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How pairing mechanism dictates topology in valley-polarized superconductors with Berry curvature

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arxiv 2503.05697 v1 pith:JB6Y767Q submitted 2025-03-07 cond-mat.supr-con cond-mat.mes-hallcond-mat.str-el

Julian May-Mann , Tobias Helbig , Trithep Devakul This is my paper
classification cond-mat.supr-concond-mat.mes-hallcond-mat.str-el
keywords berrycurvaturemechanismpairingvalley-polarizedchernfavorinteractions
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate how the pairing mechanism influences topological superconductivity in valley-polarized systems with Berry curvature. We demonstrate that short-range attractive interactions, such as those mediated by phonons, favor superconducting states where the Bogoliubov-de Gennes (BdG) Chern number has the same sign as the Berry curvature. In contrast, overscreened repulsive interactions, as in the Kohn-Luttinger mechanism, favor superconducting states where the BdG Chern number has the opposite sign as the Berry curvature. We establish these trends in a fully controlled limit and apply them to a recently reported chiral superconductor in rhombohedral multilayer graphene. Our theory provides a concrete experimental criterion for distinguishing between different pairing mechanisms in valley-polarized topological superconductors.

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Cited by 6 Pith papers

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

  1. Exact models of chiral flat-band superconductors

    cond-mat.str-el 2025-08 conditional novelty 8.0 of 10

    For a single-flavor flat band with inversion symmetry, a local attraction between opposite-parity orbitals yields exact superconducting ground states, including topological pairing.

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    Acoustic-phonon retardation alone can produce odd-parity p-wave superconductivity in a single-flavor metal where the static BCS approximation predicts no pairing.

  3. Topological Charge-2ne Superconductors

    cond-mat.str-el 2025-12 conditional novelty 7.0 of 10

    Topological charge-2ne superconductors are shown to be realizable from Read–Green ingredients and from cluster quantum Hall states, with explicit Chern–Simons/CFT descriptions and non-Abelian anyon content.

  4. Chiral superconductivity near a fractional Chern insulator

    cond-mat.str-el 2025-07 conditional novelty 7.0 of 10

    In a minimal model of repulsive spinless electrons in a Landau level, melting a fractional Chern insulator by widening the band produces a chiral f-wave superconducting dome and a nearly degenerate re-entrant integer ...

  5. Berry-Flux-Controlled Cascade of Chiral Superconducting States

    cond-mat.mes-hall 2026-01 conditional novelty 6.0 of 10

    Berry-curvature flux through the Fermi sea makes the leading superconducting pairing switch between chiral channels m=1,3,5,..., with first-order transitions and Little-Parks-like Tc oscillations.

  6. Spin-triplet paired Wigner crystal stabilized by quantum geometry

    cond-mat.str-el 2026-01 conditional novelty 6.0 of 10

    Berry curvature stabilizes a Wigner crystal built from spin-triplet electron pairs with relative orbital angular momentum m=-1.

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