Positive noise cross-correlations in superconducting hybrids: Roles of interfaces and interactions

Abstract

Shot noise cross-correlations in normal metal-superconductor-normal metal structures are discussed at arbitrary interface transparencies using both the scattering approach of Blonder, Tinkham and Klapwik and a microscopic Green's function approach. Surprisingly, negative crossed conductance in such set-ups [R. Melin and D. Feinberg, Phys. Rev. B 70, 174509 (2004)] does not preclude the possibility of positive noise cross-correlations for almost transparent contacts. We conclude with a phenomenological discussion of interactions in the one dimensional leads connected to the superconductor, which induce sign changes in the noise cross-correlations.

15 pages, 9 figures

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• Quantum noise in ac-driven resonant-tunneling double barrier structures: Photon-assisted tunneling vs. electron anti-bunching
• Electron waiting times in hybrid junctions with topological superconductors
• Ultralong-distance quantum correlations in three-terminal Josephson junctions
• Proposal for detecting the $\pi -$shifted Cooper quartet supercurrent
• Cross-correlations of coherent multiple Andreev reflections
• Noise cross-correlation and Cooper pair splitting efficiency in multi-teminal superconductor junctions
• Cross-correlations in a quantum dot Cooper pair splitter with ferromagnetic leads
• P-wave Cooper pair splitting
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• Currents and current correlations in a topological superconducting nanowire beam splitter
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• Efficient Cooper Pair Splitting Without Interactions