IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v90y2017i11d10.1140_epjb_e2017-80498-3.html
   My bibliography  Save this article

Universal and shape dependent features of surface superconductivity

Author

Listed:
  • Michele Correggi

    (Dipartimento di Matematica, “Sapienza” Università di Roma)

  • Bharathiganesh Devanarayanan

    (National Institute of Technology Rourkela)

  • Nicolas Rougerie

    (Université Grenoble-Alpes & CNRS, LPMMC (UMR 5493))

Abstract

We analyze the response of a type II superconducting wire to an external magnetic field parallel to it in the framework of Ginzburg–Landau theory. We focus on the surface superconductivity regime of applied field between the second and third critical values, where the superconducting state survives only close to the sample’s boundary. Our first finding is that, in first approximation, the shape of the boundary plays no role in determining the density of superconducting electrons. A second order term is however isolated, directly proportional to the mean curvature of the boundary. This demonstrates that points of higher boundary curvature (counted inwards) attract superconducting electrons.

Suggested Citation

  • Michele Correggi & Bharathiganesh Devanarayanan & Nicolas Rougerie, 2017. "Universal and shape dependent features of surface superconductivity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(11), pages 1-7, November.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:11:d:10.1140_epjb_e2017-80498-3
    DOI: 10.1140/epjb/e2017-80498-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2017-80498-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/e2017-80498-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Keywords

    Solid State and Materials;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:90:y:2017:i:11:d:10.1140_epjb_e2017-80498-3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.