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Wires made of topological insulators (TI) are a promising platform for searching for Majorana bound states. These states can be probed by analyzing the fractional ac Josephson effect in Josephson junctions with the TI wire as a weak link.…

In a Josephson junction, the current phase relation relates the phase variation of the superconducting order parameter, $\varphi$, between the two superconducting leads connected through a weak link, to the dissipationless current . This…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Simon Messelot , Nicolas Aparicio , Elie de Seze , Eric Eyraud , Johann Coraux , Kenji Watanabe , Takashi Taniguchi , Julien Renard

Josephson junctions with ferromagnetic barrier can have positive or negative critical current depending on the thickness $d_F$ of the ferromagnetic layer. Accordingly, the Josephson phase in the ground state is equal to 0 (a conventional or…

Superconductivity · Physics 2010-03-18 C. Gürlich , S. Scharinger , M. Weides , H. Kohlstedt , R. G. Mints , E. Goldobin , D. Koelle , R. Kleiner

With a combination of simple analytical arguments and extensive numerical simulations, we theoretically propose a Josephson junction with $n+1$ superconductors where the current-phase relation can be toggled in situ between a…

Superconductivity · Physics 2017-09-13 Jabir Ali Ouassou , Jacob Linder

The $J(\phi)$ relation in SFIFS, SNINS and SIS tunnel junctions is studied. The method for analytical solution of linearized Usadel equations has been developed and applied to these structures. It is shown that the Josephson current across…

Superconductivity · Physics 2009-11-11 A. A. Golubov , M. Yu. Kupriyanov

We study the classical dynamics of an axion field (the signal) that is coupling into a Josephson junction (the detector) by means of a capacitive coupling of arbitrary size. Depending on the size of the coupling constant and the initial…

Chaotic Dynamics · Physics 2018-08-30 Jin Yan , Christian Beck

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 consider a short Josephson junction with a phase discontinuity $\kappa$ created, e.g., by a pair of tiny current injectors, at some point $x_0$ along the length of the junction. We derive the effective current-phase relation (CPR) for…

Superconductivity · Physics 2016-05-25 E. Goldobin , S. Mironov , A. Buzdin , R. G. Mints , D. Koelle , R. Kleiner

Embedded in an ohmic environment, the Josephson current peak can transfer part of its weight to finite voltage and the junction becomes resistive. The dissipative environment can even suppress the superconducting effect of the junction via…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Tom Morel , Christophe Mora

We study Josephson junctions based on second-order topological superconductors (SOTSs) which can be realized in quantum spin Hall insulators with large inverted gap in proximity to unconventional superconductors. We find that tuning the…

Superconductivity · Physics 2020-01-22 Song-Bo Zhang , Björn Trauzettel

The $4\pi$ Josephson Effect is a distinguishing feature of a topological Josephson junction. However, stringent conditions make it hard to observe in experiments. Here we numerically study the transient transport properties in a topological…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Dihao Sun , Jie Liu

Hybrid superconductor-semiconductor nanowire Josephson junctions exhibit skewed and phi-shifted current phase relations when an in-plane magnetic field is applied along the weak link's spin-orbit effective field direction. These junctions…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Tasnum Reza , Sergey M. Frolov

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

Majorana Josephson junctions in nanowire systems exhibit a pseudo-$4\pi$ period current-phase relation in the clean limit. In this work, we study how this current-phase relation responds to a tilted magnetic field in a disordered Majorana…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Hong Huang , Qifeng Liang , Daoxin Yao , Zhi Wang

The transmission of Cooper pairs between two weakly coupled superconductors produces a superfluid current and a phase difference; the celebrated Josephson effect. Because of time-reversal and parity symmetries, there is no Josephson current…

We study a diffusive superconductor--ferromagnet--superconductor (SFS) junction with in-plane ferromagnetic domains. Close to the superconducting transition temperature, we describe the proximity effect in the junction with the linearized…

Mesoscale and Nanoscale Physics · Physics 2007-10-02 B. Crouzy , S. Tollis , D. A. Ivanov

We model the dynamics of point Josephson junctions in a 1D microstrip line using a wave equation with delta distributed sine nonlinearities. The model is suitable for both low T$_c$ and high T$_c$ systems (0 and $\pi$ junctions). For a…

Superconductivity · Physics 2009-11-11 J. G. Caputo , L. Loukitch

Critical current was recently measured near the transition from 0 to $\pi$-contact in superconductor/ferromagnet/superconductor Josephson junctions. Contrary to expectations, it does not vanish at the transition point. It shows instead a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Houzet , V. Vinokur , F. Pistolesi

Superconductor/ferromagnet/superconductor Josephson junctions with anomalous phase shift $\varphi_0$ ($\varphi_0$-S/F/S JJs) implement a coupling between the superconducting phase and the spin degrees of freedom. Here we investigate the…

Superconductivity · Physics 2024-10-31 G. A. Bobkov , A. M. Bobkov , I. V. Bobkova

We study a junction between two time-reversal-invariant topological superconductors and show this system goes through a series of multiple transitions between a $0$-junction phase, where the free energy has its minimum for a superconducting…

Mesoscale and Nanoscale Physics · Physics 2019-11-01 Arbel Haim