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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

We study systematically the scattering processes and the conductance spectra in nodal-line semimetalsuperconductor junctions using the extended Blonder-Tinkham-Klapwijk theory. The coexistence of peculiar quadruple reflections are found,…

Superconductivity · Physics 2020-03-11 Qiang Cheng , Zhe Hou , Qing-Feng Sun

A general formula for the current through a disordered normal--superconducting junction is derived, which is valid at finite temperature and includes the full voltage dependence. The result depends on a multichannel scattering matrix, which…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 G. B. Lesovik , A. L. Fauchère , G. Blatter

The conductance of a normal-metal mesoscopic system in proximity to superconducting electrode(s) is calculated. The normal-metal part may have a general geometry, and is described as a ``circuit'' with ``leads'' and ``junctions''. The…

Condensed Matter · Physics 2016-08-31 Nathan Argaman

Scattering off a potential is a fundamental problem in quantum physics. It has been studied extensively with amplitudes derived for various potentials. In this article, we explore a setting with no potentials, where scattering occurs off a…

Quantum Gases · Physics 2025-04-21 Eric Tan , R. Ganesh

We have generalized the scattering-matrix theory of multiple Andreev reflections in mesoscopic Josephson junctions to the multi-mode case, and applied it to short superconductor/normal metal/superconductor junctions with diffusive electron…

Superconductivity · Physics 2008-02-03 Athanassios Bardas , Dmitri V. Averin

We investigate Luttinger junctions of quantum wires away from criticality. The one-body scattering matrix, corresponding to the off-critical boundary conditions at the junction, admits in general antibound and/or bound states. Their…

High Energy Physics - Theory · Physics 2017-10-17 Brando Bellazzini , Mihail Mintchev , Paul Sorba

Recent experiments on conduction between a semiconductor and a superconductor have revealed a variety of new mesoscopic phenomena. Here is a review of the present status of this rapidly developing field. A scattering theory is described…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 C. W. J. Beenakker

We investigate the scattering phenomena produced by a general finite-range nonseparable potential in a multi-channel two-probe cylindrical nanowire heterostructure. The multi-channel current scattering matrix is efficiently computed using…

Mesoscale and Nanoscale Physics · Physics 2009-04-08 P. N. Racec , E. R. Racec , H. Neidhardt

Statistical properties of Wigner delay times and the effect of evanescent modes on the deterministic scattering of an electron matter wave from a classically chaotic 2-d electron waveguide are studied for the case of 2, 6, and 16…

Chaotic Dynamics · Physics 2009-10-31 G. B. Akguc , L. E. Reichl

We use the Landauer-B\"uttiker scattering theory for electronic transport to calculate the current cross-correlations in a voltage-biased three-terminal junction with all superconducting leads. At low bias voltage, when charge transport is…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Roman-Pascal Riwar , Driss M. Badiane , Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

The coherent control of scattering processes is considered, with electron impact dissociation of H$_2^+$ used as an example. The physical mechanism underlying coherently controlled stationary state scattering is exposed by analyzing a…

Quantum Physics · Physics 2009-11-13 Michael Spanner , Paul Brumer

We study the influence of non-magnetic impurity scatterings on the tunneling conductance of a junction consisting of a normal metal and a disordered unconventional superconductor by solving the quasiclassical Eilenberger equation…

Superconductivity · Physics 2016-07-13 Bo Lu , Pablo Burset , Yasunari Tanuma , Alexander A. Golubov , Yasuhiro Asano , Yukio Tanaka

Nuclear data libraries (ENDF, JEFF, JENDL, CENDL, etc.) document our phenomenological knowledge of nuclear cross sections as interpreted by R-matrix theory. The R-matrix scattering model can parameterize the energy dependence of the…

Nuclear Theory · Physics 2021-06-23 Pablo Ducru , Vladimir Sobes , Gerald Hale , Mark Paris , Benoit Forget

We consider a planar superconducting-normal-metal (SN) junction with both inelastic and spin-flip scattering processes present. In the diffusive limit, we use a one-dimensional formulation of the Usadel equation to compute the…

Superconductivity · Physics 2024-11-06 Arpit Raj , Patrick A. Lee , Gregory A. Fiete

Universality in physics describes how disparate systems can exhibit identical low-energy behavior. Here, we reveal a rich landscape of new universal scattering phenomena governed by the interplay between an interaction and a system's…

Atomic Physics · Physics 2025-10-14 Yidan Wang , Xuesen Na , Michael J. Gullans , Susanne Yelin , Alexey V. Gorshkov

We develop the scattering theory of general conformally compact metrics. For low frequencies, the domain of the scattering matrix is shown to be frequency dependent. In particular, generalized eigenfunctions exhibit L^2 decay in directions…

Spectral Theory · Mathematics 2007-05-23 David Borthwick

The planar-diagrammatic technique of large-$N$ random matrices is extended to evaluate averages over the circular ensemble of unitary matrices. It is then applied to study transport through a disordered metallic ``grain'', attached through…

Condensed Matter · Physics 2009-10-28 N. Argaman , A. Zee

Tunneling conductance spectra between a normal metal / d-wave superconductor junction under the presence of bulk impurities in the superconductor are studied. The quasiclassical theory has been applied to calculate the spatial variation of…

Superconductivity · Physics 2009-11-07 Y. Tanaka , Y. Tanuma , S. Kashiwaya

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
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