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We use the Landauer-B\"uttiker scattering theory for electronic transport to calculate the current cross-correlations in a voltage-biased three-terminal junction with all superconducting leads. At low bias voltage, when charge transport is…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Roman-Pascal Riwar , Driss M. Badiane , Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

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

Nanodevices consisting of a quantum dot tunnel coupled to one superconducting and two normal electrodes may serve as a source of entangled electrons. As a result of crossed Andreev reflection the Cooper pair of s-wave character may be split…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 G. Michalek , T. Domanski , K. I. Wysokinski

We consider a hybrid system consisting of two normal metal leads weakly connected to a superconductor. Current-current correlations of the normal leads are studied in the tunneling limit at subgap voltages and temperatures. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Bignon , M. Houzet , F. Pistolesi , F. W. J. Hekking

The conductance of a normal-metal mesoscopic system in proximity to superconducting electrode(s) is calculated. The normal-metal part may have a general geometry, and is described as a ``circuit'' with ``leads'' and ``junctions''. The…

Condensed Matter · Physics 2016-08-31 Nathan Argaman

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

A general formula for the current through a disordered normal--superconducting junction is derived, which is valid at finite temperature and includes the full voltage dependence. The result depends on a multichannel scattering matrix, which…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 G. B. Lesovik , A. L. Fauchère , G. Blatter

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 generation and destruction of the supercurrent in a superconductor (S) between two resistive normal (N) current leads connected to a current source is computed from the source equation for the supercurrent density. This equation relates…

Superconductivity · Physics 2009-11-07 Arne Jacobs , Reiner Kümmel

Andreev reflection, which corresponds to the tunneling of two electrons from a metallic lead to a superconductor lead as a Cooper pair (or vice versa), can be exploited to measure high frequency noise. A detector is proposed, which consists…

Superconductivity · Physics 2009-11-11 T. K. T. Nguyen , T. Jonckheere , A. Crépieux , A. V. Nguyen , T. Martin

We investigate Andreev transport through a quantum dot attached to two external ferromagnetic leads and one superconducting electrode. The transport properties of the system are studied by means of the real-time diagrammatic technique in…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Piotr Trocha , Kacper Wrześniewski

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

We study systematically the scattering processes and the conductance spectra in nodal-line semimetalsuperconductor junctions using the extended Blonder-Tinkham-Klapwijk theory. The coexistence of peculiar quadruple reflections are found,…

Superconductivity · Physics 2020-03-11 Qiang Cheng , Zhe Hou , Qing-Feng Sun

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

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…

Mesoscale and Nanoscale Physics · Physics 2018-01-04 R. Mélin , C. Benjamin , T. Martin

Andreev reflection between a normal metal and a superconductor whose order parameter exhibits quantum phase fluctuations is examined. The approach chosen is non perturbative in the tunneling Hamiltonian and enables to probe the whole range…

Superconductivity · Physics 2009-11-07 P. Devillard , R. Guyon , T. Martin , I. Safi , B. K. Chakraverty

Predictions are established for linear differential current-current cross-correlations dSab/dV in a symmetrically biased three-terminal normal metal-superconductor-normal metal (NSN) device. Highly transparent contacts turn out to be…

Superconductivity · Physics 2010-07-12 Axel Freyn , Martina Flöser , Régis Mélin

The transport through a metal-superconductor interface is governed by a special charge conversion process, the Andreev reflection, where each incident electron drags another electron with itself to form a Cooper pair. At the normal side a…

Superconductivity · Physics 2011-04-25 A. Geresdi , A. Halbritter , G. Mihály

We investigate the current cross-correlations in a double quantum dot based Cooper pair splitter coupled to one superconducting and two ferromagnetic electrodes. The analysis is performed by assuming a weak coupling between the double dot…

Mesoscale and Nanoscale Physics · Physics 2018-02-08 Kacper Wrześniewski , Piotr Trocha , Ireneusz Weymann

The tunneling spectrum of an electron and a hole in a superlattice of NS junctions is computed using the BTK approach and the transfer matrix method. It shows sharp resonances at some energies above the superconducting gap. The sharper the…

Superconductivity · Physics 2014-08-20 W. LiMing , Jiayun Luo , Xiaoxue Cai , Ke Sha , Liangbin Hu
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