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The dc Josephson current through a long SNS junction receives contributions from both Andreev bound states localized in the normal region as well as from scattering states incoming from the superconducting leads. We show that in the limit…

Superconductivity · Physics 2013-02-20 Domenico Giuliano , Ian Affleck

We present a further development of methods for analytical calculations of Green's functions of lattice fermions based on recurrence relations. Applying it to tight-binding systems and topological superconductors in different dimensions we…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 A. Komnik , S. Heinze

We study the full counting statistics of heterostructures consisting of normal metal parts connected to a superconducting terminal. Assuming that coherent superconducting correlations are suppressed in the normal metals we show, using…

Superconductivity · Physics 2009-11-10 W. Belzig , P. Samuelsson

We investigate the Andreev reflection in a normal metal/charge-4e superconductor junction.Compare with the electron-hole conversion in normal charge-2e superconductors, here four electrons participate simultaneously, enriching the…

Superconductivity · Physics 2024-10-30 Yi-Xin Dai , Qing-Feng Sun

We study the transport properties of a quantum dot contacted to two superconducting reservoirs by means of the Keldysh field theory approach, showing how this technique allows us to straightforwardly recover previous results, resulting…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Marco Uguccioni , Luca Dell'Anna

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

In theory of superconducting junctions, Green's function has an important role to obtain Andreev bound states, local density of states and Josephson current in a systematic way. In this article, we show how to construct Green's function on…

Superconductivity · Physics 2016-01-27 Bo Lu , Yukio Tanaka

The Andreev reflection of narrow ferromagnet/superconductor point contacts is theoretically studied. We show that the conductance quantization depends on whether the contact region is superconducting or ferromagnetic as well as on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Keiichirou Kikuchi , Hiroshi Imamura , Saburo Takahashi , Sadamichi Maekawa

We study the matter and entropy transport between two ultra-cold neutral Fermi-gas reservoirs linked by a quantum point contact under a chemical-potential gradient. We describe the two leads with a BCS mean-field model and derive the…

Quantum Gases · Physics 2026-05-04 Davide Bertolusso , C. J. Bolech , Thierry Giamarchi

We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana end states.…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 A. Zazunov , A. Iks , M. Alvarado , A. Levy Yeyati , R. Egger

In a transparent three-terminal Josephson junction, modeling nonequilibrium transport is numerically challenging, owing to the interplay between multiple Andreev reflection (MAR) thresholds and multipair resonances in the pair current. An…

Mesoscale and Nanoscale Physics · Physics 2016-08-06 Régis Mélin , Denis Feinberg , Benoît Douçot

The Blonder-Tinkham-Klapwijk model of the Point-Contact Andreev Reflection spectroscopy does not provide an adequate description of experiment in the presence of magnetic field. We demonstrate this using a junction between a niobium tip and…

Superconductivity · Physics 2009-11-10 Y. Miyoshi , Y. Bugoslavsky , L. F. Cohen

The electron transport though ferromagnetic metal-superconducting hybrid devices is considered in the non-equilibrium Green's function formalism in the quasiclassical approximation. Attention if focused on the limit in which the exchange…

Superconductivity · Physics 2009-10-31 W. Belzig , Arne Brataas , Yu. V. Nazarov , Gerrit E. W. Bauer

We study transport in a voltage biased superconductor-normal-superconductor (SNS) junction made of semiconducting nanowires with strong spin-orbit coupling, as it transitions into a topological superconducting phase for increasing Zeeman…

Mesoscale and Nanoscale Physics · Physics 2013-08-02 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

We calculate the tunneling conductance spectra of a ferromagnetic metal/insulator/superconductor using the Blonder-Tinkham-Klapwijk (BTK) formulation. Two possible states for the superconductor are considered with the time reversal symmetry…

Superconductivity · Physics 2009-11-07 N. Stefanakis

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

With the aid of the Keldysh effective action technique we develop a microscopic theory describing Andreev level spectroscopy experiments in non-tunnel superconducting contacts. We derive an effective impedance of such contacts which…

Superconductivity · Physics 2016-01-20 Artem V. Galaktionov , Andrei D. Zaikin

We address the existence of steady state Green-Keldysh correlation functions of interacting fermions in mesoscopic systems for both the partitioning and partition-free scenarios. Under some spectral assumptions on the non-interacting model…

Mathematical Physics · Physics 2015-06-16 Horia D. Cornean , Claude-Alain Pillet , Valeriu Moldoveanu

We present a unified transport theory of hybrid structures, in which a confined normal state ($N$) sample is sandwiched between two leads each of which can be either a ferromagnet ($F$) or a superconductor ($S$) via tunnel barriers. By…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Z. Y. Zeng , Baowen Li , F. Claro

We apply the Nonequilibrium Green's Function (NEGF) formalism to the problem of a multi-terminal nanojunction subject to an arbitrary time-dependent bias. In particular, we show that taking a generic one-particle system Hamiltonian within…

Mesoscale and Nanoscale Physics · Physics 2014-12-16 Michael Ridley , Angus MacKinnon , Lev Kantorovich