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It is demonstrated that non local Cooper pairs can propagate in ferromagnetic electrodes having an opposite spin orientation. In the presence of such crossed correlations, the superconducting gap is found to depend explicitly on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Mélin

In this paper we study two different ways of coupling a local operator with a nonlocal one in such a way that the resulting equation is related to an energy functional. In the first strategy the coupling is given via source terms in the…

Analysis of PDEs · Mathematics 2021-07-13 Gabriel Acosta , Francisco M. Bersetche , Julio D. Rossi

We investigate theoretically the noise and the full counting statistics of electrons that are emitted from a superconductor into two spatially separated quantum dots by the splitting of Cooper pairs and further on collected in two…

Mesoscale and Nanoscale Physics · Physics 2020-05-21 Nicklas Walldorf , Fredrik Brange , Ciprian Padurariu , Christian Flindt

Nonlocal currents, in devices where two normal metal terminals are contacted to a superconductor, are determined using the circuit theory of mesoscopic superconductivity. We calculate the conductance associated with crossed Andreev…

Mesoscale and Nanoscale Physics · Physics 2007-09-26 Jan Petter Morten , Arne Brataas , Wolfgang Belzig

Thermoelectric effect is exploited to optimize the Cooper pair splitting efficiency in a Y-shaped junction, which consists of two normal leads coupled to an $s$-wave superconductor via double noninteracting quantum dots. Here, utilizing…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Zhan Cao , Tie-Feng Fang , Lin Li , Hong-Gang Luo

We describe a Josephson device composed of two superconductors separated by two interacting quantum dots in parallel, as a probe for Cooper pair splitting. In addition to sequential tunneling of electrons through each dot, an additional…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 R. Jacquet , J. Rech , T. Jonckheere , A. Zazunov , T. Martin

We theoretically study tunneling of Cooper pairs from an s-wave superconductor into two semiconductor quantum wires with strong spin-orbit interaction under magnetic field, which approximate helical Luttinger liquids. The entanglement of…

Mesoscale and Nanoscale Physics · Physics 2012-06-19 Koji Sato , Daniel Loss , Yaroslav Tserkovnyak

We experimentally investigate Andreev bound states (ABSs) in a carbon nanotube quantum dot (QD) connected to a superconducting Nb lead (S). A weakly coupled normal metal contact acts as a tunnel probe that measures the energy dispersion of…

Mesoscale and Nanoscale Physics · Physics 2014-01-31 Jens Schindele , Andreas Baumgartner , Romain Maurand , Markus Weiss , Christian Schönenberger

We discuss a few situations related to non separable correlations in multiterminal hybrid structures. We show that the existence of such correlations can modify the strength of the gap of the superconductor. We discuss linear combinations…

Superconductivity · Physics 2007-05-23 R. Mélin

We report on an experimental and theoretical study of nonlocal transport in superconductor hybrid structures, where two normal-metal leads are attached to a central superconducting wire. As a function of voltage bias applied to both…

Superconductivity · Physics 2013-11-15 S. Kolenda , M. J. Wolf , D. S. Golubev , A. D. Zaikin , D. Beckmann

We investigate non-linear transport in a double quantum dot connected to two normal electrodes and a central superconducting finger. By this means, we perform a transport spectroscopy of such a system which implements a Cooper pair…

Mesoscale and Nanoscale Physics · Physics 2012-05-10 L. G. Herrmann , P. Burset , W. J. Herrera , F. Portier , P. Roche , C. Strunk , A. Levy Yeyati , T. Kontos

Non-local conductance experiments using tunnel junctions can provide valuable spectroscopic information on both the transport and relaxation of quasiparticles in superconductors, as these techniques directly probe the quasiparticle charge…

Superconductivity · Physics 2026-04-30 Kevin M. Ryan , Detlef Beckmann , Venkat Chandrasekhar

We consider Josephson junctions formed by multiple superconductors with distinct phases and explore the formation of nonlocal or inter-superconductor pair correlations. We find that the multiple superconductor nature offers an additional…

Superconductivity · Physics 2024-05-08 Jorge Cayao , Pablo Burset , Yukio Tanaka

Splitting of Cooper pairs has recently been realized experimentally for s-wave Cooper pairs. A split Cooper pair represents an entangled two-electron pair state which has possible application in on-chip quantum computation. Likewise the…

Mesoscale and Nanoscale Physics · Physics 2013-01-18 H. Soller , A. Komnik

Crossed Andreev reflection (CAR) is a nonlocal transport phenomenon that creates/detects Cooper-pair correlations between distant places. It is also the basis of Cooper-pair splitting to generate remote entanglement. Although CAR has been…

Mesoscale and Nanoscale Physics · Physics 2025-08-21 Junya Feng , Henry F. Legg , Mahasweta Bagchi , Daniel Loss , Jelena Klinovaja , Yoichi Ando

We analyze the non-local shot noise in a multi-terminal junction formed by two Normal metal leads con- nected to one superconductor. Using the cross Fano factor and the shot noise, we calculate the efficiency of the Cooper pair splitting.…

Superconductivity · Physics 2017-05-01 J. A. Celis Gil , S. Gomez P. , William J. Herrera

We investigate the generation of an entangled electron pair emerging from a system composed of two quantum dots attached to a superconductor Cooper pair beam splitter. We take into account three processes: Crossed Andreev Reflection,…

Quantum Physics · Physics 2024-07-03 B. Sharmila , F. M. Souza , H. M. Vasconcelos , L. Sanz

Bilayer graphene hosts valley-chiral one dimensional modes at domain walls between regions of different interlayer potential or stacking order. When such a channel is brought into proximity to a superconductor, the two electrons of a Cooper…

Mesoscale and Nanoscale Physics · Physics 2016-06-13 Alexander Schroer , Peter G. Silvestrov , Patrik Recher

A superconductor connected to normal leads allows to generate Einstein-Podolsky-Rosen pairs by Cooper pair splitting. It has been realized with quantum dots either defined in carbon nanotubes or InAs nanowires. After establishing the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 H. Soller

Split Cooper pair is a natural source for entangled electrons which is a basic ingredient for quantum information in solid state. We report an experiment on a superconductor-graphene double quantum dot (QD) system, in which we observe…

Mesoscale and Nanoscale Physics · Physics 2015-03-11 Z. B. Tan , D. Cox , T. Nieminen , P. Lähteenmäki , D. Golubev , G. B. Lesovik , P. J. Hakonen