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In most naturally occurring superconductors, electrons with opposite spins are paired up to form Cooper pairs. This includes both conventional $s$-wave superconductors such as aluminum as well as high-$T_\text{c}$, $d$-wave superconductors.…

A Cooper pair splitter consists of a central superconducting contact, S, from which electrons are injected into two parallel, spatially separated quantum dots (QDs). This geometry and electron interactions can lead to correlated electrical…

Mesoscale and Nanoscale Physics · Physics 2014-12-05 G. Fülöp , S. d'Hollosy , A. Baumgartner , P. Makk , V. A. Guzenko , M. H. Madsen , J. Nygård , C. Schönenberger , S. Csonka

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

A Cooper pair splitter consists of two quantum dots side-coupled to a conventional superconductor. Usually, the quantum dots are assumed to have a large charging energy compared to the superconducting gap, in order to suppress processes…

Mesoscale and Nanoscale Physics · Physics 2016-04-07 Ehud Amitai , Rakesh P. Tiwari , Stefan Walter , Thomas L. Schmidt , Simon E. Nigg

Cooper pairs occupy the ground state of superconductors and are typically composed of maximally entangled electrons with opposite spin. In order to study the spin and entanglement properties of these electrons, one must separate them…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Qingzhen Wang , Sebastiaan L. D. ten Haaf , Ivan Kulesh , Di Xiao , Candice Thomas , Michael J. Manfra , Srijit Goswami

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

The possibility for detecting energy entanglement in normal metal - superconductor junctions is examined. For the first time we proved that two electrons in a NS structure originating from the same Cooper pair are entangled in the energy…

Strongly Correlated Electrons · Physics 2009-11-11 K. V. Bayandin , G. B. Lesovik , Thierry Martin

One of the most promising approaches of generating spin- and energy-entangled electron pairs is splitting a Cooper pair into the metal through spatially separated terminals. Utilizing hybrid systems with the energy-dependent barriers at the…

Mesoscale and Nanoscale Physics · Physics 2015-10-12 I. A. Sadovskyy , G. B. Lesovik , V. M. Vinokur

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

We argue that electron-electron interactions fundamentally restrict the penetration length of Cooper pairs into a diffusive normal metal (N) from a superconductor (S). At low temperatures this Cooper pair dephasing length $L_\varphi$…

Mesoscale and Nanoscale Physics · Physics 2012-10-26 Andrew G. Semenov , Andrei D. Zaikin , Leonid S. Kuzmin

Correlations are fundamental in describing many body systems - not only in natural sciences. However, in experiments, correlations are notoriously difficult to assess on the microscopic scale, especially for electron spins. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-12-20 Arunav Bordoloi , Valentina Zannier , Lucia Sorba , Christian Schönenberger , Andreas Baumgartner

Controlled generation and detection of quantum entanglement between spatially separated particles constitute an essential prerequisite both for testing the foundations of quantum mechanics and for realizing future quantum technologies.…

Mesoscale and Nanoscale Physics · Physics 2021-11-09 Antti Ranni , Fredrik Brange , Elsa T. Mannila , Christian Flindt , Ville F. Maisi

Exact analytical formulas are derived, by means of Keldysh Green functions, for currents and current correlation functions in a Cooper pair splitter modelled on a double quantum dot system coherently coupled to a superconductor and two…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Bogdan R. Bułka

Spin-orbit interaction provides a spin filtering effect in carbon nanotube based Cooper pair splitters that allows us to determine spin correlators directly from current measurements. The spin filtering axes are tunable by a global external…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Bernd Braunecker , Pablo Burset , Alfredo Levy Yeyati

We analyze the transport properties of a Cooper pair splitter device composed of two-point electrodes in contact with a ferromagnetic/superconductor (F/S) junction constructed on the surface of a topological insulator (TI). For the pair…

Superconductivity · Physics 2024-07-17 Oscar Casas-Barrera , Shirley Gómez Páez , William J. Herrera

A weakly biased normal-metal-superconductor junction is considered as a potential device injecting entangled pairs of quasi-particles into a normal-metal lead. The two-particle states arise from Cooper pairs decaying into the normal lead…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Gordey B. Lesovik , Thierry Martin , Gianni Blatter

Superconductivity with spin-polarized Cooper pairs is known to emerge by combining conventional spinless superconductors with materials that have spin-dependent interactions, such as magnetism and spin-orbit coupling. This enables a…

Superconductivity · Physics 2024-01-23 Sigrid Aunsmo , Jacob Linder

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

In a device with a superconductor coupled to two parallel quantum dots (QDs) the electrical tunability of the QD levels can be used to exploit non-classical current correlations due to the splitting of Cooper pairs. We experimentally…

Mesoscale and Nanoscale Physics · Physics 2011-09-20 L. Hofstetter , S. Csonka , A. Baumgartner , Fülöp , S. d'Hollosy , J. Nygård , C. Schönenberger

We consider a double quantum dot coupled to two normal leads and one superconducting lead, modeling the Cooper pair beam splitter studied in two recent experiments. Starting from a microscopic Hamiltonian we derive a general expression for…

Mesoscale and Nanoscale Physics · Physics 2011-03-25 D. Chevallier , J. Rech , T. Jonckheere , T. Martin