Determination of the Current–Phase Relation in Josephson Junctions by Means of an Asymmetric Two-Junction SQUID


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Abstract

An analytical approach that makes it possible to reconstruct the current–phase relation (CPR) in Josephson structures included in one of the arms of a two-junction superconducting quantum interference device (SQUID), where the second junction has a significantly higher critical current and a known (sinusoidal) CPR, has been developed. The developed methods of analytical and numerical studies of current–flow transformations in two-junction SQUIDs make it possible to reconstruct the CPR of a junction with a low critical current taking into account both the existence of the self-inductance of the interferometer contour and a possible asymmetry in the supply current system. The efficiency of this approach has been confirmed by the experimental study of niobium–aluminum/aluminum oxide–niobium test structures with the known CPR.

About the authors

L. V. Ginzburg

Moscow Institute of Physics and Technology (State University); Institute of Solid State Physics

Email: nvklenov@gmail.com
Russian Federation, Dolgoprudnyi, Moscow region, 141700; Chernogolovka, Moscow region, 142432

I. E. Batov

Moscow Institute of Physics and Technology (State University); Institute of Solid State Physics

Email: nvklenov@gmail.com
Russian Federation, Dolgoprudnyi, Moscow region, 141700; Chernogolovka, Moscow region, 142432

V. V. Bol’ginov

Institute of Solid State Physics; Skobeltsyn Institute of Nuclear Physics

Email: nvklenov@gmail.com
Russian Federation, Chernogolovka, Moscow region, 142432; Moscow, 119991

S. V. Egorov

Institute of Solid State Physics

Email: nvklenov@gmail.com
Russian Federation, Chernogolovka, Moscow region, 142432

V. I. Chichkov

National University of Science and Technology MISiS

Email: nvklenov@gmail.com
Russian Federation, Moscow, 119049

A. E. Shchegolev

Faculty of Physics; Moscow Technical University of Communications and Informatics; Skobeltsyn Institute of Nuclear Physics

Email: nvklenov@gmail.com
Russian Federation, Moscow, 119991; Moscow, 111024; Moscow, 119991

N. V. Klenov

Moscow Institute of Physics and Technology (State University); Faculty of Physics; Moscow Technical University of Communications and Informatics; Skobeltsyn Institute of Nuclear Physics; Moscow Technological University (MIREA)

Author for correspondence.
Email: nvklenov@gmail.com
Russian Federation, Dolgoprudnyi, Moscow region, 141700; Moscow, 119991; Moscow, 111024; Moscow, 119991; Moscow, 119454

I. I. Soloviev

Moscow Institute of Physics and Technology (State University); Skobeltsyn Institute of Nuclear Physics; Moscow Technological University (MIREA)

Email: nvklenov@gmail.com
Russian Federation, Dolgoprudnyi, Moscow region, 141700; Moscow, 119991; Moscow, 119454

S. V. Bakurskiy

Moscow Institute of Physics and Technology (State University); Skobeltsyn Institute of Nuclear Physics

Email: nvklenov@gmail.com
Russian Federation, Dolgoprudnyi, Moscow region, 141700; Moscow, 119991

M. Yu. Kupriyanov

Moscow Institute of Physics and Technology (State University); Skobeltsyn Institute of Nuclear Physics

Email: nvklenov@gmail.com
Russian Federation, Dolgoprudnyi, Moscow region, 141700; Moscow, 119991

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