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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

Spin-split superconductors exhibit an electron-hole asymmetric spin-resolved density of states, but the symmetry is restored upon averaging over spin. On the other hand, asymmetry appears again in tunneling junctions of spin-split…

Superconductivity · Physics 2022-05-02 Stefan Ilić , P. Virtanen , T. T. Heikkilä , F. Sebastián Bergeret

We investigate theoretically the simultaneous tunneling of two electrons from a superconductor into a normal metal at low temperatures and voltages. Such an emission process is shown to be equivalent to the Andreev reflection of an incident…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Prada , F. Sols

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

By measuring the Josephson emission of a diffusive Superconductor-Normal metal-Superconductor (SNS) junction at a finite temperature we reveal a non-trivial sensitivity of the supercurrent to microwave irradiation. We demonstrate that the…

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

The generation and destruction of the supercurrent in a superconductor (S) between two resistive normal (N) current leads connected to a current source is computed from the source equation for the supercurrent density. This equation relates…

Superconductivity · Physics 2009-11-07 Arne Jacobs , Reiner Kümmel

We use a semiclassical approach for analysing the tunneling transport through a normal conductor in contact with superconducting mirrors. Our analysis of the electron-hole propagation along semiclassical trajectories shows that resonant…

Superconductivity · Physics 2009-10-31 A. Kadigrobov , L. Y. Gorelik , R. I. Shekhter , M. Jonson

Mesoscopic systems possess shot noise in their currents due to the quantization of the conducting quasiparticles. Measurements of this shot noise are useful to study phenomena that do not manifest themselves in standard conductance or…

Mesoscale and Nanoscale Physics · Physics 2025-10-30 Austin Marga , Venkat Chandrasekhar

We study mesoscopic fluctuations and weak localization correction to the supercurrent in Josephson junctions with coherent diffusive electron dynamics in the normal part. Two kinds of junctions are considered: a chaotic dot coupled to…

Mesoscale and Nanoscale Physics · Physics 2008-03-10 M. Houzet , M. A. Skvortsov

We present a new theoretical formulation of non-equilibrium superconducting phenomena, including singlet and triplet pairing. We start from the general Keldysh-Nambu-Gor'kov Green's functions in the quasiclassical approximation and…

Superconductivity · Physics 2009-10-31 M. Eschrig

Andreev reflection, which corresponds to the tunneling of two electrons from a metallic lead to a superconductor lead as a Cooper pair (or vice versa), can be exploited to measure high frequency noise. A detector is proposed, which consists…

Superconductivity · Physics 2009-11-11 T. K. T. Nguyen , T. Jonckheere , A. Crépieux , A. V. Nguyen , T. Martin

We investigate correlations of current at contacts and voltage fluctuations at voltage probes coupled to interferometers. The results are compared with correlations of current and occupation number fluctuations at dephasing probes. We use a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Heidi Forster , Peter Samuelsson , Markus Buttiker

A new variational method for studying the equilibrium states of an interacting particles system has been proposed. The statistical description of the system is realized by means of a density matrix. This method is used for description of…

General Physics · Physics 2014-12-19 Boris Bondarev

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 introduce the notion of nonreciprocal superconductors where inversion and time-reversal symmetries are broken, giving rise to an asymmetric energy dispersion. We demonstrate that nonreciprocal superconductivity can be detected by Andreev…

Superconductivity · Physics 2024-12-31 Margarita Davydova , Max Geier , Liang Fu

We present a theory for the full distribution of current fluctuations in incoherent diffusive superconducting junctions, subjected to a voltage bias. This theory of full counting statistics of incoherent multiple Andreev reflections is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Samuelsson

We show how a superconducting region (S) sandwiched between two normal leads (N), in the presence of barriers, can act as a lens for propagating electron and hole waves by virtue of the so- called crossed Andreev reflection (CAR). The CAR…

Superconductivity · Physics 2016-06-23 Hosein Cheraghchi , Hanieh Esmailzadeh , Ali G. Moghaddam

We analyze the transport through a narrow ballistic superconductor-normal- metal-superconductor Josephson contact with non-ideal transmission at the superconductor-normal-metal interfaces, e.g., due to insulating layers, effective mass…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. Kuhn , N. M. Chtchelkatchev , G. B. Lesovik , G. Blatter

We examine nonlocal effects between normal-metal gold probes connected by superconducting aluminum. For highly transparent Au/Al interfaces, we find nonlocal voltages that obey a spatial and temperature evolution distinct from the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. Cadden-Zimansky , V. Chandrasekhar