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Josephson junctions (JJ) are essential for superconducting quantum technologies and searches of self-conjugate quasiparticles, pivotal for fault-tolerant quantum computing. Measuring the current-phase relation (CPR) in JJ based on…

We develop a microscopic theory of ac Josephson effect in superconducting junctions described by an arbitrary scattering matrix that may include magnetic effects. In the limit of constant in time bias voltage $V$ applied to the junction we…

Superconductivity · Physics 2024-10-22 Mikhail S. Kalenkov , Andrei D. Zaikin

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

Motivated by a recent experiment directly measuring the current-phase relation (CPR) in graphene under the influence of a superconducting proximity effect, we here study the temperature dependence of the CPR in ballistic graphene SNS…

Superconductivity · Physics 2013-05-29 Annica M. Black-Schaffer , Jacob Linder

We present a theory of SNS junctions, a normal metal sandwiched between two superconductors, along the crossover from the BCS to the BEC regime. We calculate the Josephson current as a function of the chemical potential relative to the band…

Superconductivity · Physics 2026-01-05 Gautam Rai , Arman Babakhani , Ying Wang , Stephan Haas , Stefan Kettemann

We study the nonequilibrium Josephson current in a long two-dimensional ballistic SNS-junction with a normal reservoir coupled to the normal part of the junction. The current for a given superconducting phase difference $\phi$ oscillates as…

Superconductivity · Physics 2016-08-31 P. Samuelsson , A. Ingerman , V. S. Shumeiko , G. Wendin

We calculate the dc Josephson current for two superconductor-ferromagnet (S/F) bilayers separated by a thin insulating film. It is demonstrated that the critical Josephson current $I_{c}$ in the junction strongly depends on the relative…

Superconductivity · Physics 2009-11-07 F. S. Bergeret , A. F. Volkov , K. B. Efetov

Current-phase relation in a Josephson junction formed by putting two s-wave superconductors on the same edge of a two dimensional topological insulator is investigated. We consider the case that the junction length is finite and magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Shu-feng Zhang , Wei Zhu , Qing-feng Sun

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

Conventional superconductor/insulator/superconductor (SIS) Josephson junctions, devices where two superconductors are separated by a tunnel barrier are technologically important as elements in quantum circuits, particularly with their key…

Superconductivity · Physics 2025-09-19 Venkat Chandrasekhar

We calculate the critical current of a superconductor/ferromagnetic/superconductor (S/FM/S) Josephson junction in which the FM layer has a conical magnetic structure composed of an in-plane rotating antiferromagnetic phase and an…

Superconductivity · Physics 2009-07-06 Gábor B. Halász , J. W. A. Robinson , M. G. Blamire , James F. Annett

We formulate a fully self-consistent, microscopic model to study the retardation and correlation effects of the barrier within a Josephson junction. The junction is described by a series of planes, with electronic correlation included…

Superconductivity · Physics 2009-10-31 P. Miller , J. K. Freericks

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

We study the current-phase relation (CPR) of an InSb-Al nanowire Josephson junction in parallel magnetic fields up to $700$\,mT. At high magnetic fields and in narrow voltage intervals of a gate under the junction, the CPR exhibits…

Mesoscale and Nanoscale Physics · Physics 2023-10-06 Vukan Levajac , Hristo Barakov , Grzegorz P. Mazur , Nick van Loo , Leo P. Kouwenhoven , Yuli V. Nazarov , Ji-Yin Wang

Motivated by recent progress in development of cryogenic memory compatible with single flux quantum (SFQ) circuits we have performed a theoretical study of magnetic SIsFS Josephson junctions, where 'S' is a bulk superconductor, 's' is a…

We consider theoretically a Josephson junction with a superconducting critical current density which has a random sign along the junction's surface. We show that the ground state of the junction corresponds to the phase difference equal to…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Zyuzin , B. Spivak

Superconductor-Ferromagnetic-Superconductor (SFS) Josephson junctions are known to exhibit a transition between $\pi$ and 0 states. In this note we find the $\pi-0$ phase diagram of an SFS junction depending on the transparency of an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 N. M. Chtchelkatchev , W. Belzig , Yu. V. Nazarov , C. Bruder

The nano-bridge junction (NBJ) is a type of Josephson junction that is advantageous for the miniaturization of superconducting circuits. However, the current-phase relation (CPR) of the NBJ usually deviates from a sinusoidal function which…

Mesoscale and Nanoscale Physics · Physics 2023-08-03 Yue Wang , Lei Chen , Yinping Pan , Denghui Zhang , Shujie Yu , Guangting Wu , Xiaoyu Liu , Ling Wu , Weifeng Shi , Guofeng Zhang , Lu Zhang , Wei Peng , Jie Ren , Zhen Wang

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 study the peculiarities in current-phase relations (CPR) of the SIsFS junction in the region of $0$ to $\pi $ transition. These CPR consist of two independent branches corresponding to $0-$ and $\pi-$ states of the contact. We have found…

Superconductivity · Physics 2018-08-23 S. V. Bakurskiy , N. V. Klenov , I. I. Soloviev , N. G. Pugach , M. Yu. Kupriyanov , A. A. Golubov