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Disorder-enabled Andreev reflection of a quantum Hall edge

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  • Vladislav D. Kurilovich

    (Yale University)

  • Zachary M. Raines

    (Yale University)

  • Leonid I. Glazman

    (Yale University)

Abstract

We develop a theory of charge transport along the quantum Hall edge proximitized by a superconductor. We note that generically Andreev reflection of an edge state is suppressed if translation invariance along the edge is preserved. Disorder in a “dirty” superconductor enables the Andreev reflection but makes it random. As a result, the conductance of a proximitized segment is a stochastic quantity with giant sign-alternating fluctuations and zero average. We find the statistical distribution of the conductance and its dependence on electron density, magnetic field, and temperature. Our theory provides an explanation of a recent experiment with a proximitized edge state.

Suggested Citation

  • Vladislav D. Kurilovich & Zachary M. Raines & Leonid I. Glazman, 2023. "Disorder-enabled Andreev reflection of a quantum Hall edge," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-37794-1
    DOI: 10.1038/s41467-023-37794-1
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