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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

The distinctive quasiparticle distribution existing under nonequilibrium in a superconductor-insulator-normal metal-insulator-superconductor (SINIS) mesoscopic line is proposed as a novel tool to control the supercurrent intensity in a long…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. Giazotto , T. T. Heikkila , F. Taddei , Rosario Fazio , J. P. Pekola , F. Beltram

The distinctive quasiparticle distribution existing under nonequilibrium in a superconductor-insulator-normal metal-insulator-superconductor (SINIS) mesoscopic line is proposed as a novel tool to control the supercurrent intensity in a long…

Mesoscale and Nanoscale Physics · Physics 2008-07-12 F. Giazotto , T. T. Heikkila , F. Taddei , Rosario Fazio , J. P. Pekola , F. Beltram

We examine quantum properties of mesoscopic, Josephson coupled superconducting dots, in the limit that charging effects and quantization of energy levels within the dots are negligible, but quasi-particle transmission into the weak link is…

Condensed Matter · Physics 2007-05-23 A Martin , CJ Lambert

The microscopic theory of current carrying states in the ballistic superconducting microchannel is presented. The effects of the contact length L on the Josephson current are investigated. For the temperatures T close to the critical…

Superconductivity · Physics 2009-10-31 Malek Zareyan , Yu. A. Kolesnichenko , A. N. Omelyanchouk

We consider the steady-state nonequilibrium behavior of mesoscopic superconducting wires connected to normal-metal reservoirs. Going beyond the diffusive limit, we utilize the quasiclassical theory and perform a self-consistent calculation…

Superconductivity · Physics 2021-11-22 Kevin Marc Seja , Tomas Löfwander

Self-consistent solutions of microscopic Eilenberger theory are presented for a two-dimensional model of a superconducting channel with a geometric constriction. Magnetic fields, external ones as well as those caused by the supercurrents,…

Superconductivity · Physics 2007-08-29 A. Gumann , T. Dahm , N. Schopohl

We study superconducting transport in homogeneous wires in the cases of both equilibrium and nonequilibrium quasiparticle populations, using the quasiclassical Green's function technique. We consider superconductors with arbitrary current…

Superconductivity · Physics 2007-05-23 J. Sánchez-Cañizares , F. Sols

We study the supercurrent in quasi-one-dimensional Josephson junctions with a weak link involving magnetism, either via magnetic impurities or via ferromagnetism. In the case of weak links longer than {\color{black}the magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-12-24 P. A. Ioselevich , P. M. Ostrovsky , Ya. V. Fominov

We implement self-consistent microscopic calculations in order to describe out-of-equilibrium non-local transport in normal metal-superconductor-normal metal hybrid structures in the presence of a magnetic field and for arbitrary interface…

Superconductivity · Physics 2009-04-03 R. Mélin , F. S. Bergeret , A. Levy Yeyati

Starting from the quasiclassical equations for non-equilibrium Green's functions we derive a simple kinetic equation that governs ac Josephson effect in a superconducting quantum point contact at small bias voltages. In contrast to existing…

Condensed Matter · Physics 2009-10-28 D. Averin , A. Bardas

We develop a theory for the nonequilibrium coherent transport through a mesoscopic region, based on the nonequilibrium Green function technique. The theory requires the weak coupling between the central mesoscopic region and the multiple…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Yu Zhu , Tsung-han Lin , Qing-feng Sun

We present a microscopic theory for the d.c. Josephson effect in model mesoscopic constrictions. Our method is based on a non-equilibrium Green function formalism which allows for a self-consistent determination of the order parameter…

Condensed Matter · Physics 2009-10-22 A. Martin-Rodero , F. J. Garcia-Vidal , A. Levy-Yeyati

We study the interplay of superconductivity and disorder by solving numerically the Bogoliubov-de-Gennes equations in a two dimensional lattice of size $80\times80$ which makes possible to investigate the weak-coupling limit. In contrast…

Superconductivity · Physics 2020-03-25 Bo Fan , Antonio M. García-García

We theoretically analyze Josephson dynamics of superconducting weak links with transmissions ${\mathcal T}$ not much smaller than unity at subgap bias voltages $V$. Employing the effective action approach combined with the Keldysh technique…

Superconductivity · Physics 2023-06-27 Artem V. Galaktionov , Andrei D. Zaikin

We derive a mesoscopic theory of the Josephson junction from non-relativistic scalar electrodynamics. Our theory reproduces the Josephson relations with the canonical current phase relation acquiring a weak second harmonic term, and it…

Quantum Physics · Physics 2025-05-27 Thomas J. Maldonado , Hakan E. Türeci , Alejandro W. Rodriguez

Using highly efficient simulations of the tight-binding Bogoliubov-de Gennes model we solved self-consistently for the pair correlation and the Josephson current in a Superconducting-Bilayer graphene-Superconducting Josephson junction.…

Superconductivity · Physics 2014-01-20 W. A. Muñoz , L. Covaci , F. M. Peeters

A short introduction to the theory of matrix quasiclassical Green's functions is given and possible applications of this theory to transport properties of mesoscopic superconducting-normal metal (S/N) structures are considered. We discuss a…

Superconductivity · Physics 2009-10-30 A. F. Volkov , V. V. Pavlovskii

We propose a model for the theoretical description of a weak-link Josephson junction, in which the weak link is spin-polarized due to proximity to a ferromagnetic metal (S-(F|S)-S). Employing Usadel transport theory appropriate for…

Superconductivity · Physics 2016-09-08 Jan Gelhausen , Matthias Eschrig

We develop two generalizations of contraction theory, namely, semi-contraction and weak-contraction theory. First, using the notion of semi-norm, we propose a geometric framework for semi-contraction theory. We introduce matrix…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Saber Jafarpour , Pedro Cisneros-Velarde , Francesco Bullo
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