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Criticality in the crossed Andreev reflection of a quantum Hall edge
- 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