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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 study the current-phase relation of a ballistic SIFIT junction, consisting of a spin-singlet superconductor (S), a weak ferromagnetic metal (F), a spin-triplet superconductor (T), and insulating ferromagnetic interfaces (I). We use the…

Superconductivity · Physics 2018-03-14 Chi-Hoon Choi

We analyze the dc Josephson effect in a ballistic superconductor/ferromagnet/superconductor junction by means of the Bogoliubov-de Gennes equations in the quasiclassical Andreev approximation. We consider the possibility of ferromagnetism…

Superconductivity · Physics 2015-05-20 Gaetano Annunziata , Henrik Enoksen , Jacob Linder , Mario Cuoco , Canio Noce , Asle Sudbø

The concept of a self-consistent field in the theory of superconductivity based on the diagram method of the time-dependent perturbation theory is presented. It is shown that the well-known Bardeen-Cooper-Schrieffer equation for the order…

Superconductivity · Physics 2019-03-14 E. E. Zubov

The current-phase relation (CPR) of a Josephson junction (JJ) determines how the supercurrent evolves with the superconducting phase difference across the junction. Knowledge of the CPR is essential in order to understand the response of a…

We study the Josephson coupling of superconducting (SC) islands through the surface of single-layer (SLG) and bilayer (BLG) graphene, as a function of distance between the grains, temperature, chemical potential and external (transverse)…

Superconductivity · Physics 2016-03-22 Francesco Mancarella , Jonas Fransson , Alexander Balatsky

Josephson effect in a planar graphene junction is studied by assuming that the coupling of a graphene sheet and two superconductors deposited on its top is described by a tunneling Hamiltonian. This model properly takes account of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Yositake Takane , Ken-Ichiro Imura

We study a diffusive superconductor - normal metal - superconductor (SNS) junction in an external magnetic field. In the limit of a long junction, we find that the form of the dependence of the Josephson current on the field and on the…

Superconductivity · Physics 2013-04-16 B. Crouzy , D. A. Ivanov

We determine, using a self consistent method, the charge and spin currents in ballistic Josephson junctions consisting of ferromagnetic ($F$) layers sandwiched between superconducting ($S$) electrodes ($SFS$-type junctions). When there are…

Superconductivity · Physics 2015-11-24 Klaus Halterman , Oriol T. Valls , Chien-Te Wu

In 2010, several experimental groups obtained compelling evidence for spin-triplet supercurrent in Josephson junctions containing strong ferromagnetic materials. Our own best results were obtained from large-area junctions containing a…

Superconductivity · Physics 2012-08-27 Yixing Wang , W P Pratt, , Norman O Birge

Recent measurements of the Josephson critical current through LSCO/LCO/LSCO thin films showed an unusually large proximity effect. Using the Bogoliubov-de Gennes (BdG) equations for a tight binding Hamiltonian we describe the proximity…

Superconductivity · Physics 2009-11-11 Lucian Covaci , Frank Marsiglio

We calculate the persistent currents in $S-F_{\uparrow}F_{\uparrow[\downarrow]}-S$ structures (S denotes the superconductor in a closed ring geometry, F the ferromagnet in a two dimensional geometry, and the arrows the alignment of exchange…

Superconductivity · Physics 2007-05-23 N. Stefanakis

The fractional Josephson effect is known to be a characteristic phenomenon of topological Josephson junctions hosting Majorana zero modes (MZMs), where the Josephson current has a $4\pi$ (rather than a $2\pi$) periodicity in the phase…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Akira Furusaki

Josephson junctions with graphene as the weak link between superconductors have been intensely studied in recent years, with respect to both fundamental physics and potential applications. However, most of the previous work was based on…

Superconductivity · Physics 2018-03-14 Tianyi Li , John Gallop , Ling Hao , Edward Romans

A semiconductor nanowire based superconductor-normal-superconductor (SNS) junction is modeled theoretically. A magnetic field is applied along the nanowire axis, parallel to the current. The Bogoliubov-de Gennes equations for Andreev bound…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Kaveh Gharavi , Jonathan Baugh

In this work, we consider superconductor/flat band material/superconductor (S/FB/S) Josephson junctions (JJs) where the flat band material possesses isolated flat bands with exactly zero Fermi velocity. Contrary to conventional S/N/S JJs…

Superconductivity · Physics 2024-06-14 Zhong C. F. Li , Yuxuan Deng , Shuai A. Chen , Dmitri K. Efetov , K. T. Law

The Josephson effect in ballistic point contacts between single-band and multi-band superconductors was investigated. It was found that in the case of Josephson junctions formed by a single-band and an $s_\pm$-wave two-band superconductor…

Superconductivity · Physics 2015-12-11 Y. S. Yerin , A. S. Kiyko , A. N. Omelyanchouk , E. Il'ichev

We study theoretically the Josephson effect in junctions based on unconventional superconductors with diffusive barriers, using the quasiclassical Green's function formalism. Generalized boundary conditions at junction interfaces applicable…

Superconductivity · Physics 2009-11-11 T. Yokoyama , Y. Tanaka , A. A. Golubov

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

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