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We develop a theoretical framework for planar quasi-ballistic Josephson junctions, where multiple superconducting leads are coupled through a large, nearly ballistic normal metal crystal. Our approach, based on quasiclassical Eilenberger…

Superconductivity · Physics 2025-12-02 G. A. Bobkov , I. V. Bobkova , A. M. Bobkov , K. B. Polevoy , V. S. Stolyarov

We consider a simple model of a multidomain superconductor-ferromagnet-superconductor (SFS) Josephson junction. Sign-alternating magnetization $M$ in domains leads to a spatial modulation of the phase difference $\phi (x)$. Due to this…

Superconductivity · Physics 2009-11-10 A. F. Volkov , A. Anishchanka

We investigate the nonequilibrium current response in diffusive superconductor-normal-metal-superconductor junctions subjected to a low-frequency AC voltage. Using a kinetic description based on the adiabatic motion of Andreev bound states,…

Superconductivity · Physics 2025-12-02 Tony Liu , Alex Levchenko

Josephson junctions enable dissipation-less electrical current through metals and insulators below a critical current. Despite being central to quantum technology based on superconducting quantum bits and fundamental research into…

The application of in-plane magnetic fields to Josephson junctions enables fundamental exploration of quantum phenomena, including Zeeman-driven 0-$\pi$ transitions and planar topological superconductivity. However, intrinsic orbital…

Short ballistic graphene Josephson junctions sustain superconducting current with a non-sinusoidal current-phase relation up to a critical current threshold. The current-phase relation, arising from proximitized superconductivity, is…

Mesoscale and Nanoscale Physics · Physics 2020-01-09 Francesco M. D. Pellegrino , Giuseppe Falci , Elisabetta Paladino

We investigate Josephson junctions among conventional superconducting wires, in the presence of externally applied Zeeman fields and supercurrents. We demonstrate that the critical Josephson current and the current-phase relation of the…

Superconductivity · Physics 2022-08-02 Giorgos Livanas

We calculate the field dependence of the critical current for the dense Josephson vortex lattice which is created by large magnetic field $B$ applied along the layers of atomically layered superconductors. In clean samples a finite critical…

Superconductivity · Physics 2009-11-07 A. E. Koshelev

We study a tunnel junction consisting of two thin-film s-wave superconductors separated by a thin, insulating barrier in the presence of misaligned in-plane exchange fields. We find an interesting interplay between the superconducting phase…

Superconductivity · Physics 2009-11-13 J. Linder , A. Sudbø

We present transport measurements on long diffusive graphene-based Josephson junctions. Several junctions are made on a single-domain crystal of CVD graphene and feature the same contact width of ~9$\mu$m but vary in length from 400 to 1000…

The subgap conductivity of a normal-superconductor (NS) tunnel junction is thought to be due to tunneling of two electrons. There is a strong interference between these two electrons, originating from the spatial phase coherence in the…

Condensed Matter · Physics 2009-10-22 F. W. J. Hekking , Yu. V. Nazarov

A theory is offered for the ballistic 4-terminal Josephson junction. The studied system consists of a mesoscopic two-dimensional normal rectangular layer which is attached in each side to the bulk superconducting banks (terminals). The…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Malek Zareyan , A. N. Omelyanchouk

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

The dynamics of the superconducting phase difference across a Josephson junction can be described within the resistively and capacitively shunted Josephson junction (RCSJ) model. Microscopic derivations of this model traditionally rely on…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Jacob F. Steiner , Larissa Melischek , Felix von Oppen

Stationary and nonstationary, in particular, chaotic states in long Josephson junctions are investigated. Bifurcation lines on the parametric bias current-external magnetic field plane are calculated. The chaos strip along the bifurcation…

Superconductivity · Physics 2007-05-23 K. N. Yugay , N. V. Blinov , I. V. Shirokov

$ $The critical current of a Josephson junction is an oscillatory function of the enclosed magnetic flux $\Phi$, because of quantum interference modulated with periodicity $h/2e$. We calculate these Fraunhofer oscillations in a…

Superconductivity · Physics 2016-09-21 V. P. Ostroukh , B. Baxevanis , A. R. Akhmerov , C. W. J. Beenakker

We propose and analyze a mesoscopic Josephson junction consisting of two ferromagnetic insulator-superconductors (FI-Ss) coupled through a normal metal (N) layer. The Josephson current of the junction is non-trivially affected by the…

Mesoscale and Nanoscale Physics · Physics 2017-08-28 E. Strambini , F. S. Bergeret , F. Giazotto

Self-consistent solutions of microscopic Eilenberger theory are presented for a two-dimensional model of a superconducting channel with a geometric constriction. Magnetic fields, external ones as well as those caused by the supercurrents,…

Superconductivity · Physics 2007-08-29 A. Gumann , T. Dahm , N. Schopohl

In an in-situ prepared three-terminal Josephson junction based on the topological insulator Bi$_4$Te$_3$ and the superconductor Nb the transport properties are studied. The differential resistance maps as a function of two bias currents…

We theoretically investigate the mapping of the supercurrent distribution in a planar superconductor-normal-superconductor junction in the presence of a perpendicular magnetic field via the scanning gate microscopy technique. We find that…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 K. Kaperek , S. Heun , M. Carrega , P. Wójcik , M. P. Nowak