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We consider transport in a three terminal device attached to one superconducting and two normal metal terminals, using the circuit theory of mesoscopic superconductivity. We compute the nonlocal conductance of the current out of the first…

Superconductivity · Physics 2007-05-23 Jan Petter Morten , Arne Brataas , Wolfgang Belzig

Crossed Andreev reflection in multiterminal structures in the diffusive regime is addressed within the quasiclassical Keldysh-Usadel formalism. The elastic cotunneling and crossed Andreev reflection of quasiparticles give nonlocal currents…

Superconductivity · Physics 2007-05-23 A. Brinkman , A. A. Golubov

With the aid of the Keldysh technique we develop a microscopic theory of non-local electron transport in three-terminal NSN structures consisting of a chaotic superconducting quantum dot attached to one superconducting and two normal…

Superconductivity · Physics 2009-07-06 D. S. Golubev , A. D. Zaikin

We consider non-local transport in a system with one superconducting and two normal metal terminals. Electron focusing by weak perpendicular magnetic fields is shown to tune the ratio between crossed Andreev reflection (CAR) and electron…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Håvard Haugen , Arne Brataas , Xavier Waintal , Gerrit E. W. Bauer

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

A theory of crossed Andreev reflection in structures consisting of a superconductor with two ferromagnetic leads is presented. The electric current due to the crossed Andreev reflection strongly depends on the relative orientation of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Taro Yamashita , Saburo Takahashi , Sadamichi Maekawa

We report on electronic transport properties of mesoscopic superconductor-ferromagnet spin-valve structures. Two ferromagnetic iron leads form planar tunnel contacts to a superconducting aluminum wire, where the distance of the two contacts…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. Beckmann , H. v. Löhneysen

Nonlocal charge correlations induced in two normal metals contacted separately to a supercon- ductor have been studied intensively in the past few years. Here we investigate nonlocal correlations induced by the transfer of pure spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Taewan Noh , Manuel Houzet , Julia S. Meyer , Venkat Chandrasekhar

We analyze the non-local transport properties of a d-wave superconductor coupled to metallic electrodes at nanoscale distances. We show that the non-local conductance exhibits an algebraical decay with distance rather than the exponential…

Superconductivity · Physics 2009-01-30 William J. Herrera , A. Levy Yeyati , A. Martin-Rodero

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

We extend the circuit theory of superconductivity to cover transport and proximity effect in mesoscopic systems that contain unconventional superconductor junctions. The approach fully accounts for zero-energy Andreev bound states forming…

Superconductivity · Physics 2009-11-07 Y. Tanaka , Yu. V. Nazarov , S. Kashiwaya

The energy-dependent Andreev reflection eigenvalues determine the transport properties of normal-superconducting systems. We evaluate the eigenvalue density to get an insight into formation of resonant electron-hole transport channels. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. Samuelsson , W. Belzig , Yu. V. Nazarov

We investigate transport through hybrid structures consisting of two normal metal leads connected via tunnel barriers to one common superconducting electrode. We find clear evidence for the occurrence of non-local Andreev reflection and…

Superconductivity · Physics 2009-11-11 S. Russo , M. Kroug , T. M. Klapwijk , A. F. Morpurgo

We study Andreev reflection in normal metal-superconductor junctions by using an extended Blonder-Tinkham-Klapwijk model combined with transport calculations based on density functional theory. Starting from a parameter-free description of…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Awadhesh Narayan , Ivan Rungger , Stefano Sanvito

The phenomenon of crossed Andreev reflection (CAR) is known to play a key role in non-local electron transport across three-terminal normal-superconducting-normal (NSN) devices. Here we review our general theory of non-local charge…

Superconductivity · Physics 2012-10-09 Mikhail S. Kalenkov , Andrei D. Zaikin

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

Crossed Andreev reflection in a lateral spin valve geometry device is an aspect of considerable recent interest, particularly with regards to Cooper pair splitting experiments to realize solid state quantum entanglement. In this work,…

Mesoscale and Nanoscale Physics · Physics 2012-03-29 James Luke Webb , Bryan Hickey , Gavin Burnell

We argue that the interpretation of the experiment [Nature Physics 21, 708-715 (2025)] is misleading in two respects. First, the bias voltages impact the non-local differential conductance randomly, rather than systematically, and the bias…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 E. S. Tikhonov , V. S. Khrapai

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 formulate a microscopic theory of non-local electron transport in three-terminal diffusive normal-superconducting-normal (NSN) structures with arbitrary interface transmissions. At low energies $\varepsilon$ we predict strong enhancement…

Superconductivity · Physics 2013-05-29 D. S. Golubev , M. S. Kalenkov , A. D. Zaikin
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