Disorder in Andreev reflection of a quantum Hall edge

2 Jan 2022  ·  Vladislav D. Kurilovich, Zachary M. Raines, Leonid I. Glazman ·

We develop a theory of charge transport along the quantum Hall edge proximitized by a "dirty" superconductor. Disorder randomizes the Andreev reflection rendering the conductance of a proximitized segment a stochastic quantity with zero average for a sufficiently long segment. We find the statistical distribution of the conductance and its dependence on electron density, magnetic field, and temperature.

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Mesoscale and Nanoscale Physics Superconductivity