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We review the recent measurements of the current-phase relation in cuprate Josephson junctions. Special attention is paid to 45 degree grain boundary junctions and to c-axis junctions between YBCO and Nb. It is shown that the anomalous…

Superconductivity · Physics 2007-05-23 R. Hlubina , M. Grajcar , E. Il'ichev

We study the stationary Josephson current in a junction between a topological and an ordinary (topologically trivial) superconductor. Such an S-TS junction hosts a Majorana zero mode that significantly influences the current-phase relation.…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 P. A. Ioselevich , P. M. Ostrovsky , M. V. Feigelman

A Josephson junction (JJ) is a key device in the development of superconducting circuits, wherein a supercurrent in the JJ is controlled by the phase difference between the two superconducting electrodes. Recently, it has been shown that…

The RCSJ model of resistively and capacitively shunted Josephson junctions is used to describe superconducting point contacts over a wide range of resistances up to the metallic -- tunneling transition. Their small dynamic capacitance of…

Superconductivity · Physics 2007-05-23 Kurt Gloos , Frithjof Anders

At interfaces connecting two superconductors (SCs) separated by a metallic layer, an electric current is induced when there is a disparity in the phases of the two superconductors. We elucidate this phenomenon based on the weights of the…

Superconductivity · Physics 2024-05-24 Abhiram Soori

Synchronization between the internal dynamics of the superconducting phase in a Josephson junction (JJ) and an external ac signal is a fundamental physical phenomenon, manifesting as constant-voltage Shapiro steps in the current-voltage…

Superconductivity · Physics 2025-12-23 Pavel N. Tsarev , Yakov V. Fominov

We develop a microscopic analysis of superconducting and dissipative currents in junctions between superconductors with d-wave symmetry of the order parameter. We study the proximity effect in such superconductors and show that for certain…

Condensed Matter · Physics 2009-10-22 Yu. S. Barash , A. V. Galaktionov , A. D. Zaikin

In typical Josephson junctions, the Josephson current is an odd function of the superconducting phase difference. Recently, diode effect in Josephson junctions is observed in experiments wherein the maximum and the minimum values of the…

Superconductivity · Physics 2023-05-08 Abhiram Soori

Recently, a new theory of superconductivity has been put forward that attributes the origin of superconductivity to the appearance of a non-trivial Berry connection from many-electron wave functions. This theory reproduces the major results…

Superconductivity · Physics 2024-03-14 Hiroyasu Koizumi

We theoretically study topological planar Josephson junctions (JJs) formed from spin-orbit-coupled two-dimensional electron gases (2DEGs) proximitized by two superconductors and subjected to an in-plane magnetic field $B_\parallel$.…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 F. Setiawan , Ady Stern , Erez Berg

We theoretically study static and dynamic properties of short Josephson junctions (JJ) with singlet and triplet Josephson coupling. In singlet Josephson weak links, two singlet superconductors S are connected with each other by a normal…

Superconductivity · Physics 2017-08-15 Andreas Moor , Anatoly F. Volkov

We investigate the Josephson current J(\phi) through a quantum dot embedded between two superconductors showing a phase difference \phi. The system is modeled as a single Anderson impurity coupled to BCS leads, and the functional and the…

Strongly Correlated Electrons · Physics 2009-11-13 C. Karrasch , A. Oguri , V. Meden

While Josephson junctions can be viewed as highly non-linear impedances for superconducting quantum technologies, they also possess internal dynamics that may strongly affect their behavior. Here, we construct a computational framework that…

Superconductivity · Physics 2019-05-29 Benoit Rossignol , Thomas Kloss , Xavier Waintal

A zigzag boundary between a $d_{x^2-y^2}$ and an $s$-wave superconductor is believed to behave like a long Josephson junction with alternating sections of $0$ and $\pi$ symmetry. We calculate the field-dependent critical current of such a…

Superconductivity · Physics 2009-11-13 Ivan Tornes , David Stroud

The $4\pi$-periodic Josephson effect is an indicator of Majorana zero modes and a ground-state degeneracy which are central to topological quantum computation. However, the observability of a $4\pi$-periodic Josephson current-phase relation…

Mesoscale and Nanoscale Physics · Physics 2019-07-04 G. Tkachov

We study junctions between superconductors mediated by the edge states of a quantum spin Hall insulator. We show that such junctions exhibit a fractional Josephson effect, in which the current phase relation has a 4\pi, rather than a 2\pi…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Liang Fu , C. L. Kane

We report measurements of the current-phase relation of two voltage-controlled semiconductor-superconductor hybrid Josephson junctions (JJs) in series. The two hybrid junctions behave similar to a single-mode JJ with effective transparency…

Mesoscale and Nanoscale Physics · Physics 2025-01-08 L. Banszerus , W. Marshall , C. W. Andersson , T. Lindemann , M. J. Manfra , C. M. Marcus , S. Vaitiekėnas

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…

Recent advances have attracted attention to non-standard Josephson junctions in which a supercurrent can flow despite zero phase difference between the constituent superconducting leads. Here, we propose a zero-phase-difference…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 A. M. Eriksson , A. Vikström

Arrays of Josephson junctions are at the forefront of research on quantum circuitry for quantum computing, simulation and metrology. They provide a testing bed for exploring a variety of fundamental physical effects where macroscopic phase…