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The formation of bound states at surfaces of materials with an energy gap in the bulk electron spectrum is a well known physical phenomenon. At superconductor surfaces, quasiparticles with energies inside the superconducting gap $\Delta$…

Superconductivity · Physics 2009-11-07 T. Lofwander , V. S. Shumeiko , G. Wendin

Semiclassical theory of proximity effect predicts a gap E_g \sim hD/L^2 in the excitation spectrum of a long diffusive SNS junction. Mesoscopic fluctuations lead to anomalously localized states in the normal part of the junction. As a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. M. Ostrovsky , M. A. Skvortsov , M. V. Feigel'man

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 analyze the influence of the structure within a SNS junction on the multiple Andreev resonances in the subgap I-V characteristics. Coherent interference processes and incoherent propagation in the normal region are considered. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Elena Bascones , Francisco Guinea

We investigate the subgap transport properties of a S-F-Ne structure. Here S (Ne) is a superconducting (normal) electrode, and F is either a ferromagnet or a normal wire in the presence of an exchange or a spin- splitting Zeeman field…

Superconductivity · Physics 2015-06-04 A. Ozaeta , A. S. Vasenko , F. W. J. Hekking , F. S. Bergeret

We compute analytically the full distribution of Andreev conductance $G_{\mathrm{NS}}$ of a metal-superconductor interface with a large number $N_c$ of transverse modes, using a random matrix approach. The probability distribution…

Mesoscale and Nanoscale Physics · Physics 2011-11-07 Kedar Damle , Satya N. Majumdar , Vikram Tripathi , Pierpaolo Vivo

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

Particle transport across Josephson junctions is commonly described using a simplifying approximation (often called the Andreev approximation), which assumes that excitations are fixed at the Fermi momentum and only Andreev reflections,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 F. Setiawan , Johannes Hofmann

We compute the effect of a d-wave magnetization (altermagnetism) on the spectrum of bound states (Andreev levels) in a junction between two s-wave superconductors (gap $\Delta_0$, phase difference $\phi$). Compared to a nonmagnetic…

Superconductivity · Physics 2023-08-23 C. W. J. Beenakker , T. Vakhtel

Giant oscillations of the conductance of a superconductor - ferromagnet - superconductor Andreev interferometer are predicted. The effect is due to the resonant transmission of normal electrons through Andreev levels when the voltage $V$…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Kadigrobov , R. I. Shekhter , M. Jonson , Z. Ivanov , T. Claeson

A new universality class distinct from the standard Wigner-Dyson ones is identified. This class is realized by putting a metallic quantum dot in contact with a superconductor, while applying a magnetic field so as to make the pairing field…

Condensed Matter · Physics 2009-10-28 Alexander Altland , Martin R. Zirnbauer

We describe the proximity effect in a short disordered metallic junction between three superconducting leads. Andreev bound states in the multi-terminal junction may cross the Fermi level. We reveal that for a quasi-continuous metallic…

Mesoscale and Nanoscale Physics · Physics 2015-11-13 C. Padurariu , T. Jonckheere , J. Rech , R. Mélin , D. Feinberg , T. Martin , Yu. V. Nazarov

Andreev billiards are finite, arbitrarily-shaped, normal-state regions, surrounded by superconductor. At energies below the superconducting energy gap, single-quasiparticle excitations are confined to the normal region and its vicinity, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Inanc Adagideli , Paul M. Goldbart

We consider a Josephson junction built with the two-dimensional semi-Dirac semimetal, which features a hybrid of linear and quadratic dispersion around a nodal point. We model the weak link between the two superconducting regions by a Dirac…

Superconductivity · Physics 2024-04-10 Ipsita Mandal

Thermodynamic and transport properties of normal disordered conductors are strongly influenced by the proximity of a superconductor. A cooperation between mesoscopic coherence and Andreev scattering of particles from the superconductor…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Alexander Altland , B D Simons , D Taras-Semchuk

By using low-temperature scanning tunneling microscopy and spectroscopy (STM/STS), we observe in-gap states induced by Andreev tunneling through a single impurity state in a low carrier density superconductor (NaAlSi). The energy-symmetric…

We express the low-frequency shot noise in a disordered normal-metal - superconductor (NS) junction at finite (subgap) voltage in terms of the normal scattering amplitudes and the Andreev reflection amplitude. In the multichannel limit, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. L. Fauchere , G. B. Lesovik , G. Blatter

Current noise in superconductor-normal metal-superconductor (SNS) junctions is calculated within the scattering theory of multiple Andreev reflections (MAR). It is shown that the noise exhibits subharmonic gap singularities at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Naveh , D. V. Averin

We present a semi-classical analysis of the opening of superchannels in gated mesoscopic SNS junctions. For perfect junctions (i.e. hard-wall potential), this was considered by Chtchelkatchev, Lesovik and Blatter in the framework of…

Mathematical Physics · Physics 2011-07-05 A. Bensouissi , N. M'hadbi , M. Rouleux

Recently, Andreev bound states in iron pnictide have been proposed as an experimental probe to detect the relative minus sign in the $s_\pm$-wave pairing. While previous theoretical investigations demonstrated the feasibility of the…

Superconductivity · Physics 2015-05-14 Wen-Min Huang , Hsiu-Hau Lin