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We present a general theory for the full counting statistics of multiple Andreev reflections in incoherent superconducting-normal-superconducting contacts. The theory, based on a stochastic path integral approach, is applied to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Pilgram , P. Samuelsson

We derive the full distribution of transmitted particles through a superconducting point contact of arbitrary transparency under voltage bias. The charge transport is dominated by multiple Andreev reflections. The counting statistics is a…

Superconductivity · Physics 2009-11-10 J. C. Cuevas , W. Belzig

We derive the full counting statistics of charge transfer through a voltage biased superconducting junction. We find that for measurement times much longer than the inverse Josephson frequency, the counting statistics describes a correlated…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Göran Johansson , Peter Samuelsson , Åke Ingerman

We present a theory of the current-voltage characteristics in diffusive superconductor-normal-metal-superconductor junctions. By solving the time-dependent Usadel equations we are able to describe the phase-coherent transport for arbitrary…

Superconductivity · Physics 2009-11-11 J. C. Cuevas , J. Hammer , J. Kopu , J. K. Viljas , M. Eschrig

We study Multiple Andreev Reflections in long diffusive superconductor(S)-normal metal(N)-superconductor junctions with low-transparency interfaces. Assuming strong thermalization in the weak link we calculate the current-voltage dependence…

Superconductivity · Physics 2022-09-16 A. V. Polkin , P. A. Ioselevich

We investigate theoretically charge transport in hybrid multiterminal junctions with superconducting leads kept at different voltages. It is found that multiple Andreev reflections involving several superconducting leads give rise to rich…

Mesoscale and Nanoscale Physics · Physics 2011-04-21 M. Houzet , P. Samuelsson

We study the charge transport statistics in coherent two-terminal double junctions within the framework of the circuit theory of mesoscopic transport. We obtain the general solution of the circuit-theory matrix equations for the Green's…

Superconductivity · Physics 2007-05-23 Mihajlo Vanevic , Wolfgang Belzig

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

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 study coherent multiple Andreev reflections in quantum SNS junctions of finite length and arbitrary transparency. The presence of superconducting bound states in these junctions gives rise to great enhancement of the subgap current. The…

Superconductivity · Physics 2007-05-23 Å. Ingerman , G. Johansson , V. S. Shumeiko , G. Wendin

We study the full-counting statistics of charges transmitted through a single-level quantum dot weakly coupled to a local Einstein phonon which causes fluctuations in the dot energy. An analytic expression for the cumulant generating…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Y. Utsumi , O. Entin-Wohlman , A. Ueda , A. Aharony

Interference of electronic waves undergoing Andreev reflection in diffusive conductors determines the energy profile of the conductance on the scale of the Thouless energy. A similar dependence exists in the current noise, but its behavior…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 F. Pistolesi , M. Houzet

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

Interference of electronic waves undergoing Andreev reflection in diffusive conductors determines the energy profile of the conductance on the scale of the Thouless energy. A similar dependence exists in the current noise, but its behavior…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Houzet , F. Pistolesi

We present an experimental and theoretical investigation of coherent current transport in wide ballistic superconductor-two dimensional electron gas-superconductor junctions. It is found experimentally that upon increasing the junction…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. Samuelsson , A. Ingerman , G. Johansson , E. V. Bezuglyi , V. S. Shumeiko , G. Wendin , R. Kursten , A. Richter , T. Matsuyama , U. Merkt

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

An all-superconducting bijunction consists of a central superconductor contacted to two lateral superconductors, such that non-local crossed Andreev reflection is operating. Then new correlated transport channels for the Cooper pairs appear…

Mesoscale and Nanoscale Physics · Physics 2013-06-05 T. Jonckheere , J. Rech , T. Martin , B. Douçot , D. Feinberg , R. Mélin

The incoherent regime of Multiple Andreev Reflections (MAR) is studied in long diffusive SNS junctions at applied voltages larger than the Thouless energy. Incoherent MAR is treated as a transport problem in energy space by means of a…

Superconductivity · Physics 2014-02-10 E. V. Bezuglyi , E. N. Bratus' , V. S. Shumeiko , G. Wendin , H. Takayanagi

In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. A. Bagrets , Y. Utsumi , D. S. Golubev , G. Schoen

We calculate the full transport counting statistics in a three-terminal tunnel device with one superconducting source and two normal-metal or ferromagnet drains. We obtain the transport probability distribution from direct Andreev…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 Jan Petter Morten , Daniel Huertas-Hernando , Wolfgang Belzig , Arne Brataas
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