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    Spontaneous Vortex-Antivortex Lattice and Majorana Fermions in Rhombohedral Graphene

    Filippo Gaggioli*, Daniele Guerci†, and Liang Fu‡

    • *Contact author: gfilippo@mit.edu
    • †Contact author: dguerci@mit.edu
    • ‡Contact author: liangfu@mit.edu

    Phys. Rev. Lett. 135, 116001 – Published 10 September, 2025

    DOI: https://doi.org/10.1103/k8sb-rqxf

    Abstract

    The discovery of superconducting states in multilayer rhombohedral graphene with spin and valley polarization [1] has raised an interesting question: how does superconductivity cope with time-reversal symmetry breaking? In this Letter, using Ginzburg-Landau theory and microscopic calculation, we predict the existence of a new superconducting state at low electron density, which exhibits a spontaneously formed lattice of vortices and antivortices hosting Majorana zero modes in their cores. We further identify this vortex-antivortex lattice state in the experimental phase diagram and describe its experimental manifestations.

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