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We study the current statistics in normal diffusive conductors in contact with a superconductor. Using an extension of the Keldysh Green's function method we are able to find the full distribution of charge transfers for all temperatures…

Superconductivity · Physics 2009-11-07 W. Belzig , Yu. V. Nazarov

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

The article develops a powerful theoretical tool to obtain the full counting statistics. By a slight extension of the standard Keldysh method we can access immediately all correlation functions of the current operator. Embedded in a quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Belzig

We study the full counting statistics of heterostructures consisting of normal metal parts connected to a superconducting terminal. Assuming that coherent superconducting correlations are suppressed in the normal metals we show, using…

Superconductivity · Physics 2009-11-10 W. Belzig , P. Samuelsson

We propose a theory that treats the current, noise, and, generally, the full current statistics of electron transfer in a mesoscopic system in a unified, simple and efficient way. The theory appears to be a circuit theory of $2\times 2$…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu. V. Nazarov , D. A. Bagrets

A method to calculate the statistics of energy exchange between quantum systems is presented. The generating function of this statistics is expressed through a Keldysh path integral. The method is first applied to the problem of heat…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Kindermann , S. Pilgram

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 introduce electron-like and hole-like distribution functions, which determine the currents and the fluctuation spectra of the currents measured at a normal-conductor--superconductor hetero-structure. These distribution functions are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Thomas Gramespacher , Markus Buttiker

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 present here an extensive theoretical analysis of the supercurrent of a superconducting point contact of arbitrary transparency in the presence of a microwave field. Our study is mainly based on two different approaches: a two-level…

Superconductivity · Physics 2015-05-28 F. S. Bergeret , P. Virtanen , A. Ozaeta , T. T. Heikkilä , J. C. Cuevas

We review several ways of defining the statistics of charge that is transmitted through an electric circuit, the so-called "counting statistics". We first pursue two approaches that explain the origin of "negative probabilities" that have…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Kindermann , Yuli V. Nazarov

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

We study the statistics of charge transport in a chaotic cavity attached to external reservoirs by two openings of different size which transmit non-equal number of quantum channels. An exact formula for the cumulant generating function has…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. M. Bulashenko

Recent experiments have demonstrated the nonequilibrium control of the supercurrent through diffusive phase-coherent normal-metal weak links. The experimental results have been accurately described by the quasiclassical Green's function…

Superconductivity · Physics 2009-11-07 Tero T. Heikkilä , Jani Särkkä , Frank K. Wilhelm

We consider the transport of electrons passing through a mesoscopic device possessing internal dynamical quantum degrees of freedom. The mutual interaction between the system and the conduction electrons contributes to the current…

Mesoscale and Nanoscale Physics · Physics 2010-07-08 Christopher Birchall , Henning Schomerus

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

We study the electron transport through the quantum dot coupled to the normal metal and BCS-like superconductor (N - QD - S) in the presence of the Kondo effect and Andreev scattering. The system is described by the single impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Krawiec , K. I. Wysokinski

We investigate the effect of weak interactions on the full counting statistics of charge transfer through an arbitrary mesoscopic conductor. We show that the main effect can be incorporated into an energy dependence of the transmission…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Kindermann , Yu. V. Nazarov

We present a microscopic calculation of the nondissipative current through a superconducting quantum point contact coupled to a mechanical oscillator. Using the non-equilibrium Keldysh Green function approach, we determine the current-phase…

Mesoscale and Nanoscale Physics · Physics 2011-11-07 R. Avriller , F. S. Bergeret , F. Pistolesi

The Keldysh-ordered full counting statistics is a quasi-probability distribution describing the fluctuations of a time-integrated quantum observable. While it is well known that this distribution can fail to be positive, the interpretation…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 Patrick P. Hofer , Aashish A. Clerk
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