Disorder-enabled Andreev reflection of a quantum Hall edge

Vladislav D. Kurilovich (), Zachary M. Raines and Leonid I. Glazman
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Vladislav D. Kurilovich: Yale University
Zachary M. Raines: Yale University
Leonid I. Glazman: Yale University

Nature Communications, 2023, vol. 14, issue 1, 1-7

Abstract: 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.

Date: 2023
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DOI: 10.1038/s41467-023-37794-1

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