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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 calculate the phase, the temperature and the junction length dependence of the supercurrent for ballistic graphene Josephson-junctions. For low temperatures we find non-sinusoidal dependence of the supercurrent on the superconductor…

Superconductivity · Physics 2010-10-13 I. Hagymási , A. Kormányos , J. Cserti

Specific features of the equilibrium current-carrying state of a Josephson tunnel junction between diffusive superconductors are studied theoretically in the 1D geometry. It is found that the Josephson current induces localized states of…

Superconductivity · Physics 2014-12-03 E. V. Bezuglyi , E. N. Bratus' , V. P. Galaiko

We derive microscopically the dynamics associated with the d.c. Josephson effect in a superconducting tunnel junction interacting with an arbitrary electromagnetic environment. To do so, we extend to superconducting junctions the so-called…

Superconductivity · Physics 2013-05-29 Philippe Joyez

We investigate a chain of capacitively coupled Josephson junctions in the regime where the charging energy dominates over the Josephson coupling, exploiting the analogy between this system and a multi-dimensional crystal. We find that the…

Condensed Matter · Physics 2009-10-28 Yaroslav M. Blanter , Gerd Schön , Andrei D. Zaikin

We theoretically study the Josephson current in Ising superconductor-half-metal-Ising superconductor junctions. By solving the Bogoliubov-de Gennes equations, the Josephson currents contributed by the discrete Andreev levels and the…

Superconductivity · Physics 2020-01-22 Qiang Cheng , Qing-Feng Sun

We study the phase diagram and quantum critical properties of a resistively shunted Josephson junction array in one dimension from a strong coupling analysis. After mapping the dissipative quantum phase model to an effective sine-Gordon…

Superconductivity · Physics 2007-05-23 Pallab Goswami , Sudip Chakravarty

We perform microscopic numerical simulations of the Josephson effect through short junctions between two full-shell hybrid nanowires, comprised of a semiconductor core fully wrapped by a thin superconductor shell, both in the trivial and…

Mesoscale and Nanoscale Physics · Physics 2025-06-12 Carlos Payá , Ramón Aguado , Pablo San-Jose , Elsa Prada

Current-biased Josephson junctions exhibit hysteretic transitions between dissipative and superconducting states as characterized by switching and retrapping currents. Here, we develop a theory for diode-like effects in the switching and…

Superconductivity · Physics 2024-01-11 Jacob F. Steiner , Larissa Melischek , Martina Trahms , Katharina J. Franke , Felix von Oppen

A stationary Josephson effect in point contacts between triplet superconductors is analyzed theoretically for most probable models of the order parameter in UPt_{3} and Sr_{2}RuO_{4}. The consequence of misorientation of crystals in…

Superconductivity · Physics 2011-07-26 R. Mahmoodi , S. N. Shevchenko , Yu. A. Kolesnichenko

We study how the addition of defects in an otherwise uniform Josehpson junction array modifies the critical current of the array, by numerically solving the system of coupled Josephson equations. Our results confirm the existence of two…

Superconductivity · Physics 2007-05-23 D. -X. Chen , J. J. Moreno , A. Hernando , A. Sanchez

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 examine the dynamical consequences of Berry's phase for Josephson junctions, junction arrays, and their vortices. Josephson's equation and the related phase slip voltages are shown to be uneffected by Berry's phase. In an annular…

Condensed Matter · Physics 2007-05-23 Frank Gaitan , Subodh R. Shenoy

We present measurements on one-dimensional Josephson junction arrays formed by a chain of SQUID loops in the regime where $E_J / E_c\simeq 1$. We observe a blockaded zero current branch for small bias voltages. Above a certain voltage…

Mesoscale and Nanoscale Physics · Physics 2013-10-17 Roland Schäfer , Wanyin Cui , Kai Grube , Hannes Rotzinger , Alexey V. Ustinov

We study superconducting-normal-superconducting (SNS) Josephson junctions in one-dimensional topological superconductors which support more than one Majorana end mode. The variation of the energy spectrum with the superconducting phase is…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Doru Sticlet , Cristina Bena , Pascal Simon

The coherence of superconductivity and its suppression near a quantum phase transition is governed by the interplay between local pairing and macroscopic phase coherence. Using scanning SQUID, we image the local susceptibility in a hybrid…

We consider a planar SIS-type Josephson junction between diffusive superconductors (S) through an insulating tunnel interface (I). We construct fully self-consistent perturbation theory with respect to the interface conductance. As a…

Superconductivity · Physics 2021-09-15 A. S. Osin , Ya. V. Fominov

When a topological insulator is incorporated into a Josephson junction, the system is predicted to reveal the fractional Josephson effect with a 4$\pi$-periodic current-phase relation. Here, we report the measurement of a $4\pi$-periodic…

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

Topological superconductors differ from topologically trivial ones for the presence of topologically protected zero-energy modes. To date, experimental evidence of topological superconductivity in nanostructures has been mainly obtained by…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 Pasquale Marra , Roberta Citro , Alessandro Braggio