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Andreev reflection between a normal metal and a superconductor whose order parameter exhibits quantum phase fluctuations is examined. The approach chosen is non perturbative in the tunneling Hamiltonian and enables to probe the whole range…

Superconductivity · Physics 2009-11-07 P. Devillard , R. Guyon , T. Martin , I. Safi , B. K. Chakraverty

We study the emergent band topology of subgap Andreev bound states in the three-terminal Josephson junctions. We scrutinize the symmetry constraints of the scattering matrix in the normal region connecting superconducting leads that enable…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Hong-Yi Xie , Maxim G. Vavilov , Alex Levchenko

We present a microscopic theory for the current through a tunnel Josephson junction coupled to a non-linear environment, which consists of an Andreev two-level system coupled to a harmonic oscillator. It models a recent experiment…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 L. Bretheau , Ç. Girit , M. Houzet , H. Pothier , D. Esteve , C. Urbina

We investigate superconducting quantum interference devices consisting of two highly transmissive Josephson junctions coupled by a superconducting loop, all defined in an epitaxial InAs/Al heterostructure. A novel device design allows for…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 F. Nichele , E. Portolés , A. Fornieri , A. M. Whiticar , A. C. C. Drachmann , T. Wang , G. C. Gardner , C. Thomas , A. T. Hatke , M. J. Manfra , C. M. Marcus

We propose a new platform for observing the Josephson diode effect: the Andreev molecule. This nonlocal electronic state is hosted in circuits made of two closely spaced Josephson junctions, through the hybridization of the Andreev states.…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 J. -D. Pillet , S. Annabi , A. Peugeot , H. Riechert , E. Arrighi , J. Griesmar , L. Bretheau

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

In a Josephson junction, the transfer of Cooper pairs from one superconductor to the other one can be associated with the formation of Andreev bound states. In a Josephson junction made with a semiconducting nanowire, the spin degeneracy of…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Yoan Fauvel , Julia S. Meyer , Manuel Houzet

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

The Josephson current in S-F-S junctions is described by taking into account different reflection (transmission) amplitudes for quasiparticles with spin up and down. We show that the 0-$\pi$ transition in the junctions can take place at…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yu. S. Barash , I. V. Bobkova

We study the Josephson current through a Luttinger liquid in contact with two superconductors. We show that it can be deduced from the Casimir energy in a two-boundary version of the sine-Gordon model. We develop a new thermodynamic Bethe…

Strongly Correlated Electrons · Physics 2011-07-19 J. -S. Caux , H. Saleur , F. Siano

Since the discovery of the Andreev reflection process at normal-metal/superconductor junctions and the corresponding Andreev bound states in superconductor/normal-metal/superconductor junctions, various multiterminal Josephson junctions…

Superconductivity · Physics 2025-12-29 Panch Ram , Detlef Beckmann , Romain Danneau , Wolfgang Belzig

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 consider a long topological Josephson junction formed on a conducting 2D surface of a 3D topological insulator (TI). The superconducting correlations are proximity-induced by s-wave superconductors covering the surface. The 1D spacing…

Superconductivity · Physics 2021-03-24 Stefan Backens , Alexander Shnirman

Andreev-reflection spectroscopy of elemental superconductors in contact with non-magnetic normal metals reveals that the strength of normal-reflection varies only slightly. This observation imposes strong constrictions on the three possible…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 K. Gloos , E. Tuuli

A tight-binding approach based on the Chebyshev-Bogoliubov-de Gennes method is used to describe disordered single-layer graphene Josephson junctions. Scattering by vacancies, ripples or charged impurities is included. We compute the…

Superconductivity · Physics 2015-06-23 W. A. Munoz , L. Covaci , F. M. Peeters

We investigate the effect of interactions on Andreev current at a normal-superconducting junction when the normal phase is a Luttinger liquid with repulsive interactions. In particular, we study the system of a finite sized carbon nanotube…

Strongly Correlated Electrons · Physics 2009-11-07 Smitha Vishveshwara , Cristina Bena , Leon Balents , Matthew P. A. Fisher

We study the Josephson effect in clean heterojunctions that consist of superconductors connected through two metallic ferromagnets with insulating interfaces. We solve the scattering problem based on the Bogoliubov--de Gennes equation for…

Superconductivity · Physics 2009-11-11 Z. Pajovic , M. Bozovic , Z. Radovic , J. Cayssol , A. Buzdin

We examine the properties of an infinite-$U$ Anderson impurity coupled to both normal and superconducting metals. Both the cases of a quantum dot and a quantum point contact containing an impurity are considered; for the latter, we study…

Strongly Correlated Electrons · Physics 2009-10-31 Aashish A. Clerk , Vinay Ambegaokar , Selman Hershfield

We analyze the properties of flat-band superconductor junctions that behave differently from ordinary junctions containing only metals with Fermi surfaces. In particular, we show how in the tunneling limit the critical Josephson current…

Superconductivity · Physics 2025-09-08 P. Virtanen , R. P. S. Penttilä , P. Törmä , A. Díez-Carlón , D. K. Efetov , T. T. Heikkilä

The Andreev reflection amplitude at a clean interface between a half-metallic ferromagnet (H) and a superconductor (S) for which the half metal's magnetization has a gradient perpendicular to the interface is proportional to the excitation…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Francis B. Wilken , Piet W. Brouwer