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Conventional treatments of Josephson junctions (JJs) are typically not current-conserving. In the mean-field BCS theory, current conservation is only guaranteed if the superconducting order parameter is treated self-consistently. We show…

Superconductivity · Physics 2025-10-14 Simon Krekels , Vukan Levajac , Kristof Moors , George Simion , Bart Sorée

The Josephson effect describes supercurrent flowing through a junction connecting two superconducting leads by a thin barrier [1]. This current is driven by a superconducting phase difference $\phi$ between the leads. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 D. B. Szombati , S. Nadj-Perge , D. Car , S. R. Plissard , E. P. A. M. Bakkers , L. P. Kouwenhoven

Several recent experiments revealed a change of the sign of the first harmonic in the current-phase relation of Josephson junctions (JJ) based on novel superconductors, e.g., d-wave based or JJ with ferromagnetic barrier. In this situation…

Superconductivity · Physics 2007-12-24 E. Goldobin , D. Koelle , R. Kleiner , A. Buzdin

We determine the current-phase relation (CPR) of two-terminal configurations of Josephson junctions containing two-dimensional (2D) time-reversal invariant topological superconductors (TRITOPS), including TRITOPS-TRITOPS, as well as…

We present a set of necessary conditions for the appearance of charge and spin Josephson diode effects across strongly spin-polarized inhomogeneous magnetic materials (FM) placed between two spin-singlet superconductors. Noncoplanarity of…

Superconductivity · Physics 2025-12-29 Danilo Nikolić , Niklas L. Schulz , Matthias Eschrig

We study the anomalous Josephson effect, as well as the dependence on the direction of the critical Josephson current, in an S/N/S junction, where the normal part is realized by alternating spin-orbit coupled and ferromagnetic layers. We…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 M. Minutillo , D. Giuliano , P. Lucignano , A. Tagliacozzo , G. Campagnano

A Josephson phase shift can be induced in a Josephson junction by a strategically nearby pinned Abrikosov vortex (AV). For an asymmetric distribution of imprinted phase along the junction (controlled by the position of the AV) such a simple…

Superconductivity · Physics 2015-05-30 G. R. Berdiyorov , M. V. Milošević , L. Covaci , F. M. Peeters

Controlling the current-phase relation (CPR) of Josephson elements is essential for tailoring the eigenstates of superconducting qubits, tuning the properties of parametric amplifiers, and designing nonreciprocal superconducting devices.…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 L. Banszerus , C. W. Andersson , W. Marshall , T. Lindemann , M. J. Manfra , C. M. Marcus , S. Vaitiekėnas

We study a graphene Josephson junction where the inner graphene layer is subjected to spin-orbit coupling by proximity effect. This could be achieved, for example, by growing the graphene layer on top of a transition metal dichalcogenide,…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Federico Bonasera , Giuseppe A. Falci , Elisabetta Paladino , Francesco M. D. Pellegrino

Current-phase relation in a Josephson junction formed by putting two s-wave superconductors on the same edge of a two dimensional topological insulator is investigated. We consider the case that the junction length is finite and magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Shu-feng Zhang , Wei Zhu , Qing-feng Sun

We study Josephson junctions (JJs) in which the region between the two superconductors is a multichannel system with Rashba spin-orbit coupling (SOC) where a barrier or a quantum point contact (QPC) is present. These systems might present…

Mesoscale and Nanoscale Physics · Physics 2013-01-01 Andres A. Reynoso , Gonzalo Usaj , C. A. Balseiro , D. Feinberg , M. Avignon

The transition from the model of a long Josephson junction of variable width to the model of a junction with a coordinate-dependent Josephson current amplitude is effected through a coordinate transformation. This establishes the…

Superconductivity · Physics 2007-05-23 E. G. Semerdzhieva , T. L. Boyadjiev , Yu. M. Shukrinov

Equations describing the resistive state of a layered superconductor with anisotropic pairing are derived. The similarity with a stack of Josephson junctions is found at small voltages only, when current density in the direction…

Superconductivity · Physics 2009-10-30 S. N. Artemenko , A. G. Kobelkov

We calculate the dc Josephson current $I_J$ for two types of superconductor-ferromagnet (S/F) Josephson junctions. The junction of the first type is a S/F/S junction. On the basis of the Eilenberger equation, the Josephson current is…

Superconductivity · Physics 2009-11-07 F. S. Bergeret , A. F. Volkov , K. B. Efetov

Gate-tunable semiconductor-superconductor nanowires with superconducting leads form exotic Josephson junctions that are a highly desirable platform for two types of qubits: those with topological superconductivity (Majorana qubits) and…

We explore the phase-dependent charge and heat current in the short Josephson junctions with two normal metal regions attached at opposite ends, formed at helical edge states of two-dimensional topological insulators (TIs). For all finite…

Superconductivity · Physics 2023-08-14 Paramita Dutta

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 study theoretically the shape of the current-phase relation in a Josephson junction comprising the Zeeman-split superconductors (ZSs) and a normal metal (N). We show that at low temperatures the Josephson current in the ZS/N/ZS junctions…

Superconductivity · Physics 2023-10-24 Shu-Ichiro Suzuki , Yasuhiro Asano , Alexander A. Golubov

Planar Josephson junctions in a magnetic field exhibit the superconducting diode effect, by which the critical current magnitude depends on the polarity of the transport current. A number of different mechanisms for the effect have been…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 William F. Schiela , Melissa Mikalsen , William M. Strickland , Javad Shabani

Josephson junctions (JJs), where both time-reversal and inversion symmetry are broken, exhibit a phase shift $\phi_0$ in their current-phase relation. This allows for an anomalous supercurrent to flow in the junction even in the absence of…

Superconductivity · Physics 2022-01-11 Alberto Hijano , Stefan Ilić , F. Sebastián Bergeret