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We study nonequilibrium effects in current transport through voltage biased tunnel junction with long diffusive superconducting leads at low applied voltage, $eV \ll 2\Delta$, and finite temperatures. Due to a small value of the Josephson…

Superconductivity · Physics 2011-01-11 E. V. Bezuglyi , A. S. Vasenko , V. S. Shumeiko , G. Wendin

We present a semiclassical theory of current correlations in multiterminal chaotic dot-superconductor junctions, valid in the absence of the proximity effect in the dot. For a dominating coupling of the dot to the normal terminals and a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Samuelsson , M. Buttiker

Andreev bound states are an expression of quantum coherence between particles and holes in hybrid structures composed of superconducting and non-superconducting metallic parts. Their spectrum carries important information on the nature of…

Superconductivity · Physics 2015-09-28 Matthias Eschrig

We review here a novel circuit theory of superconductivity. The existed circuit theory of Andreev reflection has been revised to account for decoherence between electrons and holes and twofold nature of the distribution function. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yuli V. Nazarov

The longitudinal transport problem (the current is applied parallel to some bias magnetic field) in type-II superconductors is analyzed theoretically. Based on analytical results for simplified configurations, and relying on numerical…

Superconductivity · Physics 2015-03-17 H. S. Ruiz , C. López , A. Badía-Majós

The analysis in the present paper is based on the most known concept introduced by the brilliant physicist Alexander Andreev: Andreev bound states in a normal metal sandwiched between two superconductors. The paper presents results of…

Superconductivity · Physics 2024-06-07 Edouard Sonin

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

We present a theory of the current-voltage characteristics in diffusive superconductor-normal-metal-superconductor junctions. By solving the time-dependent Usadel equations we are able to describe the phase-coherent transport for arbitrary…

Superconductivity · Physics 2009-11-11 J. C. Cuevas , J. Hammer , J. Kopu , J. K. Viljas , M. Eschrig

We derive a microscopic effective action for superconducting contacts with arbitrary transmission distribution of conducting channels. Provided fluctuations of the Josephson phase remain sufficiently small our formalism allows to fully…

Superconductivity · Physics 2015-05-18 A. V. Galaktionov , A. D. Zaikin

We determine the quasi-particle excitation spectrum in the normal region of a narrow ballistic superconductor--normal-metal--superconductor (SNS) Josephson contact. Increasing the effective chemical potential in the contact converts the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nikolai M. Chtchelkatchev , Gordey B. Lesovik , Gianni Blatter

The dc Josephson current across a multi-channel SNS junction is computed by summing contributions from sub-gap Andreev bound states, as well as from continuum states propagating within the superconducting leads. We show that, in a long…

Strongly Correlated Electrons · Physics 2014-08-05 Domenico Giuliano , Ian Affleck

We study the interacting quantum dot coupled to the normal and superconducting leads by means of a continuous-time quantum Monte Carlo method in the Keldysh-Nambu formalism. Deducing the steady current through the quantum dot under a finite…

Strongly Correlated Electrons · Physics 2014-11-10 Akihisa Koga

We consider electron transport in a model of a spinless superconductor described by a Kitaev type lattice Hamiltonian where the electron interactions are modelled through a superconducting pairing term. The superconductor is sandwiched…

Superconductivity · Physics 2021-01-04 Junaid Majeed Bhat , Abhishek Dhar

The Andreev transport through a quantum dot coupled to two external ferromagnetic leads and one superconducting lead is studied theoretically by means of the real-time diagrammatic technique in the sequential and cotunneling regimes. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 I. Weymann , P. Trocha

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

Open chaotic systems are expected to possess universal transport statistics and recently there have been many advances in understanding and obtaining expressions for their transport moments. However when tunnel barriers are added, which…

Chaotic Dynamics · Physics 2017-08-23 Jack Kuipers , Klaus Richter

We demonstrate several new electron transport phenomena mediated by Andreev bound states (ABSs) that form on three-terminal carbon nanotube (CNT) QDs, with one superconducting (S) contact in the center and two adjacent normal metal (N)…

Mesoscale and Nanoscale Physics · Physics 2017-11-10 J. Gramich , A. Baumgartner , C. Schönenberger

We theoretically describe a thermoelectric effect that is entirely due to Andreev processes involving the formation of Cooper pairs through the coupling of electrons and holes. The Andreev thermoelectric effect can occur in ballistic…

Superconductivity · Physics 2021-01-25 Tony Savander , Shun Tamura , Christian Flindt , Yukio Tanaka , Pablo Burset

Superconducting weak-link junctions host electron--hole hybridized excitations called Andreev bound states. These have attracted significant interest for the role they play in the device microelectronic operation and for quantum information…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Benjamin Remez , Pouyan Ghaemi , Jay D. Sau , Mohammad Hafezi

Andreev reflection in ferromagnet-superconductor junctions is derived in a regime in which Zeeman splitting dominates the response of the superconductor to an applied magnetic field. Spin-up and spin-down Andreev reflections are shown to be…

Superconductivity · Physics 2009-10-31 R. Mélin