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Chiral and topological superconductivity in isospin polarized multilayer graphene

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arxiv 2409.13829 v2 pith:24GTVGHJ submitted 2024-09-20 cond-mat.supr-con cond-mat.mes-hall

Chiral and topological superconductivity in isospin polarized multilayer graphene

Max Geier , Margarita Davydova , Liang Fu This is my paper
classification cond-mat.supr-con cond-mat.mes-hall
keywords superconductinggraphenetopologicaltransitionbelowchiralchiralitycoulomb
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A microscopic mechanism for chiral p-wave superconductivity from Coulomb repulsion is proposed for spin- and valley-polarized state of rhombohedral multilayer graphene. The superconducting instability arises when strong Thomas-Fermi screening of the Coulomb potential allows Friedel oscillations to take over - leading to an effective attraction on length scales below the Fermi wavelength. The superconducting critical temperature is largest at low density below a Lifshitz transition to an annular Fermi sea, where the additional pocket strongly enhances Thomas-Fermi screening. The Lifshitz transition also marks a topological phase transition from a trivial to a topological superconducting phase hosting Majorana fermions. The chirality of the superconducting order parameter is selected by the chirality of the valley-polarized Bloch electrons. Our results are in reasonable agreement with observations in a recent experiment on tetralayer graphene [Han, T., Lu, Z., Hadjri, Z. et al., Nature (2025)].

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Cited by 5 Pith papers

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    A microscopic tunneling approach is developed showing that scanning tunneling spectroscopy can distinguish commensurate and incommensurate single-q pairing states and a three-q moiré superconductor in rhombohedral gra...

  2. Chiral superconductivity from parent Chern band and its non-Abelian generalization

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    Mean-field theory on a quartic-dispersion Chern band for rhombohedral graphene yields a chiral topological superconductor that transitions to a trivial BEC at T=0; the composite-fermion version realizes a Moore-Read state.

  3. Probing pairing symmetries through quasiparticle interference in chiral Bloch bands

    cond-mat.supr-con 2026-06 unverdicted novelty 5.0

    Theory for QPI in chiral-band superconductors shows impurity-induced local spectral functions distinguish zero- and finite-momentum pairing states.

  4. Pair density wave in quarter metals from a repulsive fermionic interaction in graphene heterostructures: A renormalization group study

    cond-mat.mes-hall 2025-12 unverdicted novelty 5.0

    Leading-order RG analysis shows repulsive interactions stabilize a chiral odd-parity pair density wave in quarter metals of chirally stacked graphene heterostructures.

  5. Chiral finite-momentum superconductivity in the tetralayer graphene

    cond-mat.supr-con 2024-12 unverdicted novelty 4.0

    RPA calculation identifies chiral p-wave pairing as dominant in tetralayer graphene at low densities, with distinct finite-momentum and zero-momentum superconducting regimes.