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The critical current density of an SNS Josephson-junction in high magnetic fields.

Carty, G.J. and Hampshire, D.P. (2013) 'The critical current density of an SNS Josephson-junction in high magnetic fields.', Superconductor science and technology., 26 (6). 065007.


Although the functional form of the critical current density (Jc) of superconducting–normal–superconducting (SNS) Josephson-junctions (J-Js) has long been known in the very low field limit (e.g. the sinc function), includes the local properties of the junction and has been confirmed experimentally in many systems, there have been no such general solutions available for high fields. Here, we derive general analytic equations for Jc in zero field and in high fields across SNS J-Js for arbitrary resistivity of the superconductor and the normal layer which are consistent with the literature results available in limiting cases. We confirm the validity of the approach using both computational solutions to time-dependent Ginzburg–Landau (TDGL) theory applied to SNS junctions and experimental Jc data for an SNS PbBi–Cd–PbBi junction. We suggest that since SNS junctions can be considered the basic building blocks for the description of the grain boundaries of polycrystalline materials because they both provide flux-flow channels, this work may provide a mathematical framework for high Jc technological polycrystalline superconductors in high magnetic fields.

Item Type:Article
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Publisher statement:© 2013 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Superconductor science and technology. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at
Date accepted:No date available
Date deposited:16 December 2014
Date of first online publication:June 2013
Date first made open access:No date available

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