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Cooper pairs in the superconductor are a natural source of spin entanglement. The existing proposals of the Cooper pair splitter can only realize a low efficiency of entanglement production, and its size is constrained by the…

Mesoscale and Nanoscale Physics · Physics 2015-01-06 Wei Chen , D. N. Shi , D. Y. Xing

Recent experiments on conduction between a semiconductor and a superconductor have revealed a variety of new mesoscopic phenomena. Here is a review of the present status of this rapidly developing field. A scattering theory is described…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 C. W. J. Beenakker

We consider a Hamiltonian model for a quantum dot which is placed between two superconducting leads with a constant bias imposed between these leads. Using the non-equilibrium Keldysh technique, we focus on the subgap current, where it is…

Mesoscale and Nanoscale Physics · Physics 2009-12-02 Thibaut Jonckheere , Alex Zazunov , K. Bayandin , Vitaly Shumeiko , Thierry Martin

We consider the out-of-equilibrium behavior of a general class of mesoscopic devices composed of several superconducting or/and normal metal leads separated by quantum dots. Starting from a microscopic Hamiltonian description, we provide a…

Superconductivity · Physics 2020-09-02 R. Jacquet , A. Popoff , K. -I. Imura , J. Rech , T. Jonckheere , L. Raymond , A. Zazunov , T. Martin

We analyze non-local effects in electron transport across three-terminal normal-superconducting-normal (NSN) structures. Subgap electrons entering S-electrode from one N-metal may form Cooper pairs with their counterparts penetrating from…

Superconductivity · Physics 2007-06-13 Mikhail S. Kalenkov , Andrei D. Zaikin

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 demonstrate that perfect conversion between charged supercurrents in superconductors and neutral supercurrents in electron-hole pair condensates is possible via a new Andreev-like scattering mechanism. As a result, when two…

Mesoscale and Nanoscale Physics · Physics 2010-01-18 Fabrizio Dolcini , Diego Rainis , Fabio Taddei , Marco Polini , Rosario Fazio , A. H. MacDonald

We develop a new theoretical approach for modelling a wide range of semiconductor-superconductor structures with arbitrary potential barriers and a spatially-dependent superconducting order parameter. We demonstrate asymmetry in the…

Superconductivity · Physics 2018-03-14 Shlomi Bouscher , Roni Winik , Alex Hayat

We have generalized the scattering-matrix theory of multiple Andreev reflections in mesoscopic Josephson junctions to the multi-mode case, and applied it to short superconductor/normal metal/superconductor junctions with diffusive electron…

Superconductivity · Physics 2008-02-03 Athanassios Bardas , Dmitri V. Averin

We consider a normal-superconducting junction in order to investigate the effect of new physical ingredients on waiting times. First, we study the interplay between Andreev and specular scattering at the interface on the distribution of…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 M. Albert , D. Chevallier , P. Devillard

We develop a detailed microscopic theory describing dc Josephson effect and Andreev bound states in superconducting junctions with a half-metal. In such systems the supercurrent is caused by triplet pairing states emerging due to spin-flip…

Superconductivity · Physics 2008-03-29 Artem V. Galaktionov , Mikhail S. Kalenkov , Andrei D. Zaikin

We investigate the conductance statistics of a quantum-chaotic dot--a normal-metal grain--with a superconducting lead attached to it. The cases of one and two normal leads additionally attached to the dot are studied. For these two…

Mesoscale and Nanoscale Physics · Physics 2009-06-10 Victor A. Gopar , J. A. Mendez-Bermudez , Arafa H. Aly

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

We review here a novel circuit theory of superconductivity. The existed circuit theory of Andreev reflection has been revised to account for decoherence between electrons and holes and twofold nature of the distribution function. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yuli V. Nazarov

An easy to implement and powerful method for the solution of 3D scattering problems that can be well described by Helmholtz equation is presented. The matrix algebra used provides excellent stability versus the number of junctions as well…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. A. Torres , J. J. Saenz

Cooper quartets are aggregates of four electrons that generalize the concept of Cooper pairs, and their study can unfold unexplored perspectives in correlated matter and many-body physics. We propose a method to isolate them in a…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Luca Chirolli , Alessandro Braggio , Michele Governale

We investigate quantum noise effect on the transportation of nonlocal Cooper pairs accross the realistic Andreev entangler which consists of an s-wave superconductor coupled to two small quantum dots at resonance which themselves are…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Emilie Dupont , Karyn Le Hur

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

We express the low-frequency shot noise in a disordered normal-metal - superconductor (NS) junction at finite (subgap) voltage in terms of the normal scattering amplitudes and the Andreev reflection amplitude. In the multichannel limit, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. L. Fauchere , G. B. Lesovik , G. Blatter

A scanning tunneling microscope is used to explore the evolution of electron and Cooper pair transport across single Mn-phthalocyanine molecules adsorbed on Pb(111) from tunneling to contact ranges. Normal-metal as well as superconducting…

Superconductivity · Physics 2018-07-19 J. Brand , S. Gozdzik , N. Néel , J. L. Lado , J. Fernández-Rossier , J. Kröger