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The review is devoted to the detailed description of the fluctuation phenomena in superconductors. Developing phenomenological methods through the first five sections we deal with the direct fluctuation pair contributions only. The indirect…

Superconductivity · Physics 2007-05-23 A. I. Larkin , A. A. Varlamov

We investigate the statistics of fluctuations in a classical stochastic network of nodes joined by connectors. The nodes carry generalized charge that may be randomly transferred from one node to another. Our goal is to find the time…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Andrew N. Jordan , Eugene V. Sukhorukov , Sebastian Pilgram

A theory of spin polarized tunneling spectroscopy based on a scattering theory is given for tunneling junctions between ferromagnets and d-wave superconductors. The spin filtering effect of an exchange field in the insulator is also…

Superconductivity · Physics 2009-10-31 S. Kashiwaya , Y. Tanaka , N. Yoshida , M. R. Beasley

We report a systematic experimental study of mesoscopic conductance fluctuations in superconductor/normal/superconductor (SNS) devices Nb/InAs-nanowire/Nb. These fluctuations far exceed their value in the normal state and strongly depend on…

Mesoscale and Nanoscale Physics · Physics 2009-12-18 T. S. Jespersen , M. L. Polianski , C. B. Soerensen , K. Flensberg , J. Nygaard

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 transport properties of a hybrid nanostructure composed of a ferromagnet, two quantum dots, and a superconductor connected in series. By using the non-equilibrium Green's function approach, we have calculated the electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 E. C. Siqueira , G. G. Cabrera

We study the full counting statistics of current of large open systems through the application of random matrix theory to transition-rate matrices. We develop a method for calculating the ensemble-averaged current-cumulant generating…

Statistical Mechanics · Physics 2014-01-31 Uliana Mordovina , Clive Emary

Simplified model for current-voltage characteristics of weak links is suggested. It is based on approach which considers Andreev reflections as responsible for the dissipative current through the metallic Josephson junction. The model…

Superconductivity · Physics 2011-11-09 Denis Gokhfeld

We consider arrays of Josephson junctions as well as single junctions in both the classical and quantum-mechanical regimes, and examine the generalized (frequency-dependent) resistance, which describes the dynamic responses of such…

Condensed Matter · Physics 2009-10-31 Mahn-Soo Choi , M. Y. Choi , Sung-Ik Lee

We present a scattering description of transport in several normal-superconductor structures. We show that the related requirements of self-consistency and current conservation introduce qualitative changes in the transport behavior when…

Superconductivity · Physics 2009-10-28 J. Sánchez-Cañizares , F. Sols

We study the conduction of a {\sl N~-~Sm~-~S} junction, where {\sl Sm} is a strongly disordered semiconductor. The differential conductance $dI/dV$ of this {\sl N~-~Sm~-~S} structure is predicted to have a sharp peak at $V=0$. Unlike the…

Condensed Matter · Physics 2009-10-28 I. L. Aleiner , Penny Clarke , L. I. Glazman

We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

Statistical Mechanics · Physics 2015-05-13 D. Andrieux , P. Gaspard

We study the spectrum of Andreev bound states and Josephson currents across a junction of $N$ superconducting wires which may have $s$- or $p$-wave pairing symmetries and develop a scattering matrix based formalism which allows us to…

Superconductivity · Physics 2018-05-30 Oindrila Deb , K. Sengupta , Diptiman Sen

We present a field theory for the statistics of charge and current fluctuations in diffusive systems. The cumulant generating function is given by the saddle-point solution for the action of this field theory. The action depends on two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan , Sebastian Pilgram

A theory is offered for the ballistic 4-terminal Josephson junction. The studied system consists of a mesoscopic two-dimensional normal rectangular layer which is attached in each side to the bulk superconducting banks (terminals). The…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Malek Zareyan , A. N. Omelyanchouk

We study fluctuations of particle absorption by a three-dimensional domain with multiple absorbing patches. The domain is in contact with a gas of interacting diffusing particles. This problem is motivated by living cell sensing via…

Statistical Mechanics · Physics 2017-06-28 Tal Agranov , Baruch Meerson

We construct a theory for low-energy quantum transport in normal$\mid$superconductor junctions involving the recently discovered iron-based high-$T_c$ superconductors. We properly take into account both Andreev bound surface states and the…

Superconductivity · Physics 2009-11-13 Jacob Linder , Asle Sudbø

We develop a method for calculation of charge transfer statistics of persistent current in nanostructures in terms of the cumulant generating function (CGF) of transferred charge. We consider a simply connected one-dimensional system (a…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 A. Komnik , G. W. Langhanke

We report a complete analytical expression for the one-loop correction to the ac conductivity $\sigma(\omega)$ of a disordered two-dimensional electron system in the diffusive regime. The obtained expression includes the weak localization…

Mesoscale and Nanoscale Physics · Physics 2020-10-27 I. S. Burmistrov

We consider Andreev reflection in a two dimensional junction between a normal metal and a heavy fermion superconductor in the Fulde-Ferrell (FF) type of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state. We assume s-wave symmetry of the…

Superconductivity · Physics 2011-03-10 J. Kaczmarczyk , M. Sadzikowski , J. Spałek