arXiv · 2209.12932
Criticality in the crossed Andreev reflection of a quantum Hall edge
Abstract
We develop a theory of the non-local transport of two counter-propagating $\nu = 1$ quantum Hall edges coupled via a narrow disordered superconductor. The system is self-tuned to the critical point between trivial and topological phases by the competition between tunneling processes with or without particle-hole conversion. The critical conductance is a random, sample-specific quantity with a zero average and unusual bias dependence. The negative values of conductance are relatively stable against variations of the carrier density, which may make the critical state to appear as a topological one.
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Vladislav D. Kurilovich, Leonid I. Glazman. 2022-09-26. Criticality in the crossed Andreev reflection of a quantum Hall edge. https://arxiv.org/abs/2209.12932
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