Disorder-enabled Andreev reflection of a quantum Hall edge.
basic_science · Level V
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- Record sourced from PubMed, PMID 37076501.
- Also identified by DOI 10.1038/s41467-023-37794-1 and PMC identifier 10115825.
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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.