Disorder-enabled Andreev reflection of a quantum Hall edge

Author:

Kurilovich Vladislav D.ORCID,Raines Zachary M.,Glazman Leonid I.ORCID

Abstract

AbstractWe 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.

Funder

National Science Foundation

United States Department of Defense | United States Navy | Office of Naval Research

United States Department of Defense | United States Army | U.S. Army Research, Development and Engineering Command | Army Research Office

Yale University

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,General Biochemistry, Genetics and Molecular Biology,General Chemistry,Multidisciplinary

Reference30 articles.

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