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Criticality in the crossed Andreev reflection of a quantum Hall edge

Authors :
Kurilovich, Vladislav D.
Glazman, Leonid I.
Publication Year :
2022

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.<br />Comment: 10 pages, 5 figures; 10 pages supplementary, 1 supplementary figure

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2209.12932
Document Type :
Working Paper