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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 present a comprehensive theoretical analysis of the dc transport properties of superconducting point contacts. We determine the full counting statistics for these junctions, which allows us to calculate not only the current or the noise,…

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

We study the full probability distribution of the charge transmitted through a mesoscopic diffusive conductor during a measurement time T. We have considered a semi-classical model, with an exclusion principle in a discretized…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. -E. Roche , B. Doucot

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 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 investigate a beam splitter experiment implemented in a normal conducting fermionic electron gas in the quantum Hall regime. The cross-correlations between the current fluctuations in the two exit leads of the three terminal device are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Oberholzer , E. Bieri , C. Schoenenberger , M. Giovannini , J. Faist

We study the full counting statistics of electric current to several drain terminals with spin-dependent entrance conductances. We show that the statistics of charge transfers can be interpreted in terms of single electrons and spin-singlet…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Antonio Di Lorenzo , Yuli V. Nazarov

A mesoscopic Coulomb blockade system with two identical transport channels is studied in terms of full counting statistics. It is found that the average current cannot distinguish the quantum constructive interference from the classical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shi-Kuan Wang , Hujun Jiao , Feng Li , Xin-Qi Li , YiJing Yan

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 analyze the full counting statistics (FCS) of a single-site quantum dot coupled to multiple metallic electrodes in the normal state and a superconductor for arbitrary transmission. We present an analytical solution of the problem taking…

Mesoscale and Nanoscale Physics · Physics 2011-09-22 H. Soller , A. Komnik

Microscopic theory of counting statistics of electrical noise is reviewed. We discuss a model of passive charge detector based on current fluctuations coupled to a spin, and its relation with the theory of photon counting in quantum optics.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. S. Levitov

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

We study the charge transfer in a small grain oscillating between two leads. Coulomb blockade restricts the charge fluctuations in such a way that only zero or one additional electrons can sit on the grain. The system thus acts as a charge…

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

Transport through quantum coherent conductors, like atomic junctions, is described by the distribution of conduction channels. Information about the number of channels and their transmission can be extracted from various sources, such as…

The probability distribution of the total transmission is studied for waves multiple scattered from a random, static configuration of scatterers. A theoretical study of the second and third cumulant of this distribution is presented. Within…

Condensed Matter · Physics 2009-10-22 M. C. W. van Rossum , Johannes F. de Boer , Th. M. Nieuwenhuizen

The statistics of charge transport across a tunnel junction with energy-dependent scattering is investigated. A model with quadratic dispersion relation is discussed in general and, independently, in the two limiting cases of a large…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Vincent Beaud , Gian Michele Graf , Andrei V. Lebedev , Gordey B. Lesovik

In low temperature limit, we study electron counting statistics of a disordered conductor. We derive an expression for the distribution of charge transmitted over a finite time interval by using a result from the random matrix theory of…

Condensed Matter · Physics 2008-04-12 Hyunwoo Lee , A. Yu. Yakovetz , L. S. Levitov

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

Non-adiabatic charge pumping through a single-level quantum dot with periodically modulated parameters is studied theoretically. By means of a quantum-master-equation approach the full counting statistics of the system is obtained. We find…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 Alexander Croy , Ulf Saalmann
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