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Updated: Aug 2, 2025

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
Published on: January 21, 2016
Disorder-enabled Andreev reflection of a quantum Hall edge
Vladislav D Kurilovich1, Zachary M Raines2, Leonid I Glazman2
1Department of Physics, Yale University, New Haven, CT, 06520, USA. vlad.kurilovich@yale.edu.
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.
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