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We consider a superconducting loop with two weak links that encloses a magnetic flux. The weak links are unequal and are treated as Josephson junctions with non-sinusoidal phase dependence. We devise a model that takes into account the…

Superconductivity · Physics 2007-05-23 Jorge Berger

We present a consistent theory of superconductive tunneling in single-mode junctions within a scattering formulation of Bogoliubov-de Gennes quantum mechanics. Both dc Josephson effect and dc quasiparticle transport in voltage biased…

Superconductivity · Physics 2009-10-28 V. S. Shumeiko , E. N. Bratus' , G. Wendin

Semiconductor-superconductor hybrid systems provide a promising platform for hosting unpaired Majorana fermions towards the realisation of fault-tolerant topological quantum computing. In this study, we employ the Keldysh Non-Equilibrium…

Mesoscale and Nanoscale Physics · Physics 2019-11-05 Praveen Sriram , Sandesh S Kalantre , Kaveh Gharavi , Jonathan Baugh , Bhaskaran Muralidharan

We review a semiclassical theory of high-field noise in degenerate conductors, based on propagator solutions to the Boltzmann equation for the fluctuation distribution function. The theory provides a microscopic description of…

Condensed Matter · Physics 2007-05-23 F. Green , M. P. Das

We present a unified description of a junction between $s$-wave (BCS) superconductors and a junction between $p$-wave superconductors in a topologically nontrivial phase, which relies on a scattering state expansion. We compute Josephson…

Superconductivity · Physics 2019-03-26 R. Jacquet , J. Rech , T. Jonckheere , A. Zazunov , T. Martin

Weakly coupled semiconductor superlattices under dc voltage bias are nonlinear systems with many degrees of freedom whose nonlinearity is due to sequential tunneling of electrons. They may exhibit spontaneous chaos at room temperature and…

Mesoscale and Nanoscale Physics · Physics 2022-11-29 Luis L. Bonilla , Manuel Carretero , Emanuel Mompó

Scanning tunneling microscopy (STM) and spectroscopy (STS) with $s$-wave superconducting tips has been widely applied to probe exotic superconductors, but its potential for investigating topological superconductors remains unclear. In…

Superconductivity · Physics 2026-01-22 Jushin Tei , Ryo Hanai , Satoshi Fujimoto , Takeshi Mizushima

The tunneling spectrum of an electron and a hole in metal-superconductor-metal junctions is computed using the Blonder-Tinkham-Klapwijk theory. The incident and the outgoing currents finally balance each other by an interface charge inside…

Superconductivity · Physics 2014-08-20 W. LiMing , J. J. Ouyang , Liangbin Hu

A perturbation theory and a diagram technique for a disordered metal are proposed when scattering of quasiparticles by nonmagnetic impurities is caused with a retarded interaction. The perturbation theory generalizes a case of the elastic…

Superconductivity · Physics 2014-01-13 K. V. Grigorishin

The scattering picture of electron transport in mesoscopic conductors shows that fluctuations of the current reveal additional information on the scattering mechanism not available through the conductance alone. The electronic fluctuations…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Matthias Hübler , Wolfgang Belzig

The density of Andreev levels in a normal metal ($N$) in contact with two superconductors ($S$) is known to exhibit an induced minigap related to the inverse dwell time. We predict a small secondary gap just below the superconducting gap…

Superconductivity · Physics 2014-10-14 J. Reutlinger , L. Glazman , Yu. V. Nazarov , W. Belzig

Quasiclassical theory predicts an existence of a sharp energy gap E_g \sim D/L^2 in the excitation spectrum of a long diffusive superconductor--normal metal--superconductor (SNS) junction. We show that mesoscopic fluctuations remove the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. M. Ostrovsky , M. A. Skvortsov , M. V. Feigel'man

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

We review and refine analytical results on the density of states in a long disordered superconductor - normal-metal - superconductor junction with transparent interfaces. Our analysis includes the behavior of the minigap near phase…

Superconductivity · Physics 2009-11-07 D. A. Ivanov , R. von Roten , G. Blatter

Disorder in a proximitizing bulk superconductor can scatter quasiparticles in a putative topological superconductor and eventually destroy the topological superconducting state. We use a scattering approach and a random-matrix calculation…

Mesoscale and Nanoscale Physics · Physics 2022-11-02 Stuart N. Thomas , Sankar Das Sarma , Jay D. Sau

The shot noise in tunneling experiments reflects the Poissonian nature of the tunneling process. The shot noise power is proportional to both the magnitude of the current and the effective charge of the carrier. Shot noise spectroscopy thus…

We study the current-phase relation of the superconductor/normal/superconductor (SNS) junction imbedded in a superconducting loop. Considering the current conservation and free energy minimum conditions, we obtain the persistent currents of…

Superconductivity · Physics 2009-11-10 Mun Dae Kim , Jongbae Hong

Odd-frequency pairing is an unconventional type of Cooper pairing in superconductors related to the frequency dependence of the corresponding anomalous Green function. We show by a combination of analytical and numerical methods that…

Superconductivity · Physics 2024-05-21 Shun Tamura , Viktoriia Kornich , Björn Trauzettel

We solve the coherent multiple Andreev reflection (MAR) problem and calculate current-voltage characteristics (IVCs) for Josephson SINIS junctions, where S are local-equilibrium superconducting reservoirs, I denotes tunnel barriers, and N…

Superconductivity · Physics 2015-05-27 E. V. Bezuglyi , E. N. Bratus' , V. S. Shumeiko

A topological superconductor nanowire bears a Majorana bound state at each of its ends, leading to unique transport properties. As a way to probe these, we study the finite frequency noise of a biased junction between a normal metal and a…

Superconductivity · Physics 2019-03-06 D. Bathellier , L. Raymond , T. Jonckheere , J. Rech , A. Zazunov , T. Martin