Cross-correlated shot noise in three-terminal superconducting hybrid nanostructures

Abstract

We work out a unified theory describing both non-local electron transport and cross-correlated shot noise in a three-terminal normal-superconducting-normal (NSN) hybrid nanostructure. We describe noise cross correlations both for subgap and overgap bias voltages and for arbitrary distribution of channel transmissions in NS contacts. We specifically address a physically important situation of diffusive contacts and demonstrate a non-trivial behavior of non-local shot noise exhibiting both positive and negative cross correlations depending on the bias voltages. For this case, we derive a relatively simple analytical expression for cross-correlated noise power which contains only experimentally accessible parameters.

10 pages

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Cited by in corpus (6)

• Local and non-local two-electron tunneling processes in a Cooper pair splitter
• Nonlocal Andreev transport through a quantum dot in a magnetic field: Interplay between Kondo, Zeeman, and Cooper-pair correlations
• Probing the topological character of superconductors via non-local Hanbury-Brown and Twiss correlations
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Efficient Cooper Pair Splitting Without Interactions
• Long-range Cooper pair splitting by chiral Majorana edge states