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Related papers: Scattering description of Andreev molecules

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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

We use a single-channel scattering formalism to derive general expressions for the Andreev bound-state energies and resulting current--phase relationship in a one-dimensional semiconductor-based SNS-junction, including arbitrarily oriented…

Mesoscale and Nanoscale Physics · Physics 2023-12-22 Jonas Lidal , Jeroen Danon

The theory of Andreev conductance is formulated for junctions involving normal metals (N) and multiband superconductors (S) and applied to the case of superconductors with nodeless extended $s_{\pm}$-wave order parameter symmetry, as…

Superconductivity · Physics 2015-05-13 A. A. Golubov , A. Brinkman , O. V. Dolgov , I. I. Mazin , Y. Tanaka

We calculate the subgap density of states of a disordered single-channel normal metal connected to a superconductor at one end (NS junction) or at both ends (SNS junction). The probability distribution of the energy of a bound state…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Titov , N. A. Mortensen , H. Schomerus , C. W. J. Beenakker

We report on the measurement of multiple Andreev resonances at atomic size point contacts between two superconducting nanostructures of Pb under magnetic fields higher than the bulk critical field, where superconductivity is restricted to a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. Suderow , E. Bascones , W. Belzig , F. Guinea , S. Vieira

Many of the properties of superconductors related to quantum coherence are revealed when the superconducting state is forced to vary in space - in response to an external magnetic field, a proximity contact, an interface to a ferromagnet,…

Superconductivity · Physics 2018-06-28 J. A. Sauls

We calculate the conductance of a junction between a disordered superconductor and a very strong half-metallic ferromagnet admitting electrons with only one spin projection. A usual mechanism of Andreev reflection is strongly suppressed in…

Superconductivity · Physics 2024-01-29 M. E. Ismagambetov , P. M. Ostrovsky , M. V. Feigel'man

We propose the "Andreev molecule", an artificial quantum system composed of two closely spaced Josephson junctions. The coupling between Josephson junctions in an Andreev molecule occurs through the overlap and hybridization of the…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 J. -D. Pillet , V. Benzoni , J. Griesmar , J. -L. Smirr , Ç. Ö. Girit

Andreev molecule states arise from hybridization of Andreev bound states in different Josephson Junctions. Extensive theoretical and experimental research concentrates on direct coherent electron coupling between the junctions: this implies…

Superconductivity · Physics 2026-01-05 Erik S. Samuelsen , Yuli V. Nazarov

The general scattering-matrix formalism is suggested for the description of shot noise in single-channel quantum NS contacts in the presence of smeared Andreev levels in the $eV<\Delta$ regime. It is shown that the noise spectral density as…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. V. Lebedev , G. B. Lesovik

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 introduce Andreev scattering (electron-hole conversion at an interface of a normal conductor to a superconductor) at the outer vertices of a quantum star graph and examine its effect on the spectrum. More specifically we show that the…

Superconductivity · Physics 2007-11-14 Holger Flechsig , Sven Gnutzmann

Andreev bound states are superpositions of electrons and holes in a metal that form by coherent reflection from a superconductor. When the length of the superconductor is comparable to the superconducting coherence length, Andreev bound…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Anders Enevold Dahl , Andrea Maiani , Max Geier , Javad Shabani , Karsten Flensberg

We measure the excitation spectrum of a superconducting atomic contact. In addition to the usual continuum above the superconducting gap, the single particle excitation spectrum contains discrete, spin-degenerate Andreev levels inside the…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 L. Bretheau , C. O. Girit , C. Urbina , D. Esteve , H. Pothier

A normal conductor placed in good contact with a superconductor can inherit its remarkable electronic properties. This proximity effect microscopically originates from the formation in the conductor of entangled electron-hole states, called…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Landry Bretheau , Joel I-Jan Wang , Riccardo Pisoni , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero

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

We have studied the interplay of Andreev reflection and cyclotron motion of quasiparticles at a superconductor-normal-metal interface with a strong magnetic field applied parallel to the interface. Bound states are formed due to the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. Hoppe , U. Zuelicke , Gerd Schoen

We argue that at subgap energies quantum behavior of superconducting weak links can be exactly accounted for by an effective Hamiltonian for a Josephson particle in a quantum dissipative environment formed by Andreev levels. This…

Superconductivity · Physics 2017-10-18 A. V. Galaktionov , D. S. Golubev , A. D. Zaikin

Low-energy quasiparticle states, arising from scattering by single-particle potentials in d-wave superconductors, are addressed. Via a natural extension of the Andreev approximation, the idea that sign-variations in the superconducting…

Superconductivity · Physics 2007-05-23 Inanc Adagideli , Paul M. Goldbart , Alexander Shnirman , Ali Yazdani

We consider a normal-superconducting junction in order to investigate the effect of new physical ingredients on waiting times. First, we study the interplay between Andreev and specular scattering at the interface on the distribution of…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 M. Albert , D. Chevallier , P. Devillard
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