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We solve the Dirac-Bogoliubov-De-Gennes equation in an impurity-free superconductor-normal-superconductor (SNS) junction, to determine the maximal supercurrent that can flow through an undoped strip of graphene with heavily doped…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Titov , C. W. J. Beenakker

The current-phase relation (CPR) for asymmetric 45 degree Josephson junctions between two d-wave superconductors has been predicted to exhibit an anomalous periodicity. We have used the single-junction interferometer to investigate the CPR…

Titov and Beenakker [Phys. Rev. B 74, 041401(R) (2006)] found, by solving the Dirac-Bogoliubov-De-Gennes equation, that the product of critical current and normal-state resistance for superconductor-graphene-superconductor (S-g-S) Josephson…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Adam Rycerz

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

We perform extensive analysis of graphene Josephson junctions embedded in microwave circuits. By comparing a diffusive junction at 15 mK with a ballistic one at 15 mK and 1 K, we are able to reconstruct the current-phase relation.

Mesoscale and Nanoscale Physics · Physics 2020-07-21 Felix E. Schmidt , Mark D. Jenkins , Kenji Watanabe , Takashi Taniguchi , Gary A. Steele

We present the results of theoretical study of Current-Phase Relations (CPR) in Josephson junctions of SIsFS type, where 'S' is a bulk superconductor and 'IsF' is a complex weak link consisting of a superconducting film 's', a metallic…

Superconductivity · Physics 2015-06-17 S. V. Bakurskiy , N. V. Klenov , I. I. Soloviev , M. Yu. Kupriyanov , A. A. Golubov

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

Unlike for tunneling Josephson junctions, for which the current-phase relation is given by the sine function, with the critical current ($I_c$) and normal-state resistance ($R_N$) following the relation $I_cR_N=(\pi/2)\,\Delta_0/e$ (where…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Adam Rycerz

We study the effect of a dilute homogeneous spatial distribution of non-magnetic impurities on the equilibrium supercurrent sustained by a ballistic graphene Josephson junction in the short junction limit. Within the Dirac-Bogoliubov-de…

Mesoscale and Nanoscale Physics · Physics 2022-11-08 Francesco M. D. Pellegrino , Giuseppe Falci , Elisabetta Paladino

In this work we study by numerical methods the phase dynamics in ballistic graphene-based short Josephson junctions. The supercurrent through a graphene junction shows a non-sinusoidal phase-dependence, unlike a conventional junction ruled…

Superconductivity · Physics 2015-12-09 Claudio Guarcello , Davide Valenti , Bernardo Spagnolo

We investigate critical current noise in short ballistic graphene Josephson junctions in the open-circuit gate-voltage limit within the McWorther model. We find flicker noise in a wide frequency range and discuss the temperature dependence…

Mesoscale and Nanoscale Physics · Physics 2021-04-20 Francesco M. D. Pellegrino , Giuseppe Falci , Elisabetta Paladino

Josephson junctions with an intrinsic phase shift of pi, so-called pi Josephson junctions, can be realized by a weak link of a d-wave superconductor with an appropriate boundary geometry. A model for the pairing potential of an according…

Superconductivity · Physics 2015-05-13 A. Gumann , C. Iniotakis , N. Schopohl

The influence of chiral molecular potentials on phase-coherent transport in superconducting Josephson junctions is investigated. Within a Bogoliubov-de Gennes tight-binding framework, an SNS junction functionalized by adsorbed chiral…

Josephson junctions (JJs) with non-sinusoidal current-phase relations (CPRs) have gathered increasing attention, partly due to growing interest in topological 2D materials. Understanding how CPR and inhomogeneities in JJs influence their…

Superconductivity · Physics 2025-04-08 R. A. Hovhannisyan

We analyze the dc Josephson effect in a ballistic superconductor/half-metal/superconductor junction by means of the Bogoliubov de Gennes equations. We study the role of spin-active interfaces and compare how different superconductor…

Superconductivity · Physics 2012-03-09 Henrik Enoksen , Jacob Linder , Asle Sudbo

We investigate supercurrent interference patterns measured as a function of magnetic field in ballistic graphene Josephson junctions. At high doping, the expected $\Phi_{0}$-periodic "Fraunhofer" pattern is observed, indicating a uniform…

We investigate the in-field critical current density Jc(B) of SNS Josephson Junctions (JJs) and polycrystalline superconductors with grain boundaries modelled as Josephson type planar defects, both analytically and through computational…

Superconductivity · Physics 2021-10-06 A. I. Blair , D. P. Hampshire

The stationary Josephson current in a ballistic graphene system is theoretically studied with focus on a planar junction consisting of a monolayer graphene sheet on top of which a pair of superconducting electrodes is deposited. To…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Yositake Takane

We study the Josephson effect of a $\rm{T_1 F T_2}$ junction, consisting of spin-triplet superconductors (T), a weak ferromagnetic metal (F), and ferromagnetic insulating interfaces. Two types of the triplet order parameters are considered;…

Superconductivity · Physics 2017-09-01 Chi-Hoon Choi

We present theory of dc Josephson effect in contacts between Fe-based and spin-singlet $s$-wave superconductors. The method is based on the calculation of temperature Green's function in the junction within the tight-binding model. We…