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Superconductivity is a result of quantum coherence at macroscopic scales. Two superconductors separated by a metallic or insulating weak link exhibit the AC Josephson effect - the conversion of a DC voltage bias into an AC supercurrent.…

Superconductivity · Physics 2018-01-31 Thomas McDermott , Hai-Yao Deng , Andreas Isacsson , Eros Mariani

We theoretically investigate the supercurrent flow in a Josephson junction consisting of two spin-split superconductors combined by a normal metal weak link. The normal metal may be driven out of equilibrium, thus modifying the electron and…

Superconductivity · Physics 2025-08-06 Chi Sun , Jacob Linder

Current fluctuations are studied in a mesoscopic conductor using non-equilibrium Keldysh technique. We derive a general expression for the fluctuations in the presence of a time dependent voltage, valid for arbitrary relation between…

Condensed Matter · Physics 2007-05-23 B. L. Altshuler , L. S. Levitov , A. Yu. Yakovets

This paper gives an introduction to the Keldysh formalism, with emphasis on its usefulness in time-dependent density functional theory. In the first part we introduce the Keldysh contour and the one-particle Green function defined on this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert van Leeuwen , Nils Erik Dahlen , Gianluca Stefanucci , Carl-Olof Almbladh , Ulf von Barth

The supercurrent of a Josephson junction is reduced by phase diffusion. For ultrasmall capacitance junctions the current may be further decreased by Coulomb blockade effects. We calculate the Cooper pair current by means of time-dependent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hermann Grabert , Gert-Ludwig Ingold , Benjamin Paul

We investigate transport properties of ballistic magnetic Josephson junctions and establish that suppression of supercurrent is an intrinsic property of the junctions, even in absence of disorder. By studying the role of ferromagnet…

Mesoscale and Nanoscale Physics · Physics 2022-01-31 Hervé Ness , Ivan A. Sadovskyy , Andrey E. Antipov , Mark van Schilfgaarde , Roman M. Lutchyn

We present an extension of the Keldysh-Green's function method, which allows to calculate the full distribution of transmitted particles through a mesoscopic superconductor. The method is applied to the statistics of supercurrent in short…

Superconductivity · Physics 2009-10-31 W. Belzig , Yu. V. Nazarov

We study the Josephson effects in the superconductor/two-dimensional Weyl nodal line semimetal/superconductor junctions using the Green's function method. When the Rashba spin-orbit coupling and an external magnetic field coexist in the…

Superconductivity · Physics 2025-09-05 Wen-Ting Liu , Shu-Chang Zhao , Qiang Cheng , Qing-Feng Sun

We investigate the transport properties of a one-dimensional superconductor-normal metal-superconductor (S-N-S) system described within the tight-binding approximation. We compute the equilibrium dc Josephson current and the time-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Enrico Perfetto , Gianluca Stefanucci , Michele Cini

We have theoretically studied the supercurrent profiles in three-dimensional normal metal and ferromagnetic Josephson configurations, where the magnitude of the superconducting gaps in the superconducting leads are unequal, i.e.,…

Superconductivity · Physics 2021-03-05 Mohammad Alidoust , Klaus Halterman

A nondissipative supercurrent state of a Josephson junction is metastable with respect to the formation of a finite-resistance state. This transition is driven by fluctuations, thermal at high temperatures and quantum at low temperatures.…

Superconductivity · Physics 2016-01-06 D. S. Antonenko , M. A. Skvortsov

We present a microscopic theory of dc Josephson current, based on the construction of a coherent temperature Green function in the tight-binding approximation, in junctions with multiband superconductors. This theory is applied to the…

Superconductivity · Physics 2015-06-18 A. V. Burmistrova , I. A. Devyatov

We present a unified, quantitative description of transport across the crossover between hydrodynamic weak-link flow and tunneling-dominated Josephson dynamics in a three-dimensional quantum fluid. Using an atomic Josephson junction…

Quantum Gases · Physics 2026-05-26 Vijay Pal Singh , Erik Bernhart , Marvin Röhrle , Herwig Ott , Ludwig Mathey , Luigi Amico

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 present a microscopic derivation of the effect of current flow on a system near a superconductor-metal quantum critical point. The model studied is a 2d itinerant electron system where the electrons interact via an attractive interaction…

Strongly Correlated Electrons · Physics 2009-11-13 Aditi Mitra

The purpose of this review is to provide a comprehensive pedagogical introduction into Keldysh technique for interacting out-of-equilibrium fermionic and bosonic systems. The emphasis is placed on a functional integral representation of…

Other Condensed Matter · Physics 2015-05-13 Alex Kamenev , Alex Levchenko

We analyze the properties of flat-band superconductor junctions that behave differently from ordinary junctions containing only metals with Fermi surfaces. In particular, we show how in the tunneling limit the critical Josephson current…

Superconductivity · Physics 2025-09-08 P. Virtanen , R. P. S. Penttilä , P. Törmä , A. Díez-Carlón , D. K. Efetov , T. T. Heikkilä

We present a theoretical study of the density of states and supercurrent in diffusive superconductor-normal metal-superconductor (SNS) junctions. In particular, we study the influence on these two equilibrium properties of both an arbitrary…

Superconductivity · Physics 2009-11-13 J. C. Hammer , J. C. Cuevas , F. S. Bergeret , W. Belzig

The dc Josephson effect refers to the dissipationless electrical current -- the supercurrent -- that can be sustained across a weak link connecting two bulk superconductors. This effect is a probe of the fundamental nature of the…

Superconductivity · Physics 2007-05-23 Michael Hermele , Gil Refael , Matthew P. A. Fisher , Paul M. Goldbart

Generic conditions are established for producing a non-Fraunhofer response of the critical supercurrent subject to an external magnetic field in ferromagnetic Josephson junctions. Employing the quasiclassical Keldysh-Usadel method, we…

Superconductivity · Physics 2012-01-18 Mohammad Alidoust , Granville Sewell , Jacob Linder