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SU(4) Symmetry Breaking and Induced Superconductivity in Graphene Quantum Hall Edges

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arxiv 2306.12483 v1 pith:B54ISBPH submitted 2023-06-21 cond-mat.supr-con

Joseph J. Cuozzo , Enrico Rossi This is my paper · ORCID
classification cond-mat.supr-con
keywords graphenesuperconductorsymmetryapproximatedegeneracypropertiestopologicalbreaking
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In graphene, the approximate SU(4) symmetry associated with the spin and valley degrees of freedom in the quantum Hall (QH) regime is reflected in the 4-fold degeneracy of graphene's Landau levels (LL's). Interactions and the Zeeman effect break such approximate symmetry and lift the corresponding degeneracy of the LLs. We study how the breaking of the approximate SU(4) symmetry affects the properties of graphene's QH edge modes located in proximity to a superconductor. We show how the lifting of the 4-fold degeneracy qualitatively modifies the transport properties of the QH-superconductor heterojunction. For the zero LL, by placing the edge modes in proximity to a superconductor, it is in principle possible to realize a 1D topological superconductor supporting Majoranas in the presence of sufficiently strong Zeeman field. We estimate the topological gap of such a topological superconductor and relate it to the properties of the QH-superconductor interface.

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

  1. Quantum Hall Andreev Conversion in Graphene Nanostructures

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    Chiral Andreev conversion at partially transparent graphene-superconductor interfaces is robust, not valley-degenerate, and can show interference oscillations from intervalley scattering at corners.

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