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.

arXiv comment10 pages

References in corpus (39)

• Shot Noise in Mesoscopic Conductors
• Hamiltonian approach to the transport properties of superconducting quantum point contacts
• Quasiclassical Green's function approach to mesoscopic superconductivity
• Quantum Effects in Coulomb Blockade
• Carbon Nanotubes as Cooper Pair Beam Splitters
• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Electronic Entanglement in the Vicinity of a Superconductor
• Experimental observation of bias-dependent non-local Andreev reflection
• Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
• Correlated tunneling into a superconductor in a multiprobe hybrid structure
• Interference of two electrons entering a superconductor
• Near-unity Cooper pair splitting efficiency
• Subgap Conductivity of a Superconducting-Normal Tunnel Interface
• Non-Local Correlations in Normal Metal-Superconducting Systems
• Nonlocal entanglement in hybrid superconducting and normal-metal three terminal devices
• Reversing non-local transport through a superconductor by electromagnetic excitations
• Doubled Shot Noise In Disordered Normal-Metal-Superconductor Junctions
• Full Counting Statistics of a Superconducting Beam Splitter
• Current-current correlations in hybrid superconducting and normal metal multiterminal structures
• Chaotic dot-superconductor analog of the Hanbury Brown Twiss effect
• Circuit theory of crossed Andreev reflection
• Nonlocal Andreev reflection at high transmissions
• Crossed Andreev reflection in diffusive contacts
• Non-local Andreev reflection in superconducting quantum dots
• Crossed Andreev reflection at spin-active interfaces
• Positive noise cross-correlations in superconducting hybrids: Roles of interfaces and interactions
• Crossed Andreev reflection and charge imbalance in diffusive NSN structures
• Theory of charge transport in diffusive normal metal / conventional superconductor point contacts
• Full counting statistics of crossed Andreev reflection
• Josephson effects in a superconductor-normal metal mesoscopic structure with a dangling superconducting arm
• Positive current cross-correlations in a highly transparent normal-superconducting beam splitter due to synchronized Andreev and inverse Andreev reflections
• Non-local transport in normal-metal/superconductor hybrid structures: the role of interference and interaction
• Absence of split pairs in the cross-correlations of a highly transparent normal metal-superconductor-normal metal electron beam splitter
• Magnetic field and contact resistance dependence of non-local charge imbalance
• Shot noise and Coulomb effects on non-local electron transport in normal-superconducting-normal heterostructures
• Minimal Entanglement Witness From Electrical Current Correlations
• Local and Nonlocal Shot Noise in High-$T_C$ Superconducting Nanowires
• Nonlocal transport and heating in superconductors under dual-bias conditions
• Coulomb blockade of non-local electron transport in metallic conductors

Cited by in corpus (8)

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