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Phenomenological Model of the Nonlinear Microwave Response of a Superconductor Containing Weak Links

1999/03/19 by A. V. Velichko, Anton V. Velichko, Adrian Porch +2
Engineering · Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Physics of Superconductivity and Magnetism #Superconducting Materials and Applications #Superconductivity (cond-mat.supr-con) #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/9903304

7 pages, 4 figures (figures embedded into the text). Third Edition. Text is revised and extended. Figures are the same. Unpublished

openalex publication_date 1999/03/19 · arxiv created 2000/10/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A phenomenological model is proposed which describes the effect of both dc and rf magnetic fields, H, on the microwave surface impedance, Zs=Rs+jXs, of a superconductor containing weak link. Two cases are considered; a weak link between two grains, shunted by another grain, and a non-shunted weak link. In both cases the dependences of Rs and Xs on applied field H were found to be anomalous. Under certain conditions, the values of Zs(H) can fall below the zero-field values. Comparison with experiment is performed, and very good qualitative and (in some cases) quantitative agreement is found.

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