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Low Temperature Physics / Volume 36 / Issue 1

Low Temp. Phys. 36, 13 (2010); http://dx.doi.org/10.1063/1.3292280 (26 pages)

Critical states in thin planar type-II superconductors in a perpendicular or inclined magnetic field (Review)

G. P. Mikitik

B. I. Verkin Institute for Low-Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, pr. Lenina 47, Kharkov 61103, Ukraine

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The theory of the critical states of a vortex lattice in type-II superconductors is examined without any assumptions about the relative perpendicularity of the local magnetic fields and circulating currents in the sample. Such a theory has made it possible to solve a number of problems for thin films of superconductors in an external magnetic field oriented perpendicular to their surface: a theory of the shaking effect is constructed for rectangular superconducting plates and the critical states in samples with anisotropic pinning of the flux lines as well as in the presence of an order-disorder phase transition in a vortex lattice are studied. In addition, the critical states in a long superconducting strip in an inclined magnetic field are investigated.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
    1. Types of critical states in type-II superconductors
    2. Thin planar superconductors
  2. CRITICAL STATE IN TYPE-II SUPERCONDUCTORS OF ARBITRARY SHAPE
    1. Equations of the critical state
      1. Taking account of the dependence of jc⊥ on j∥
      2. Taking account of flux-line pinning anisotropy
    2. Critical state in thin planar superconductors
  3. THEORY OF VORTEX-SHAKING IN THIN PLANAR TYPE-II SUPERCONDUCTORS
    1. Shaking effect in a thin rectangular superconducting plate
      1. Transverse shaking effect
      2. Longitudinal shaking effect
      3. General case
    2. Generation of a constant electric field by an ac magnetic field in a superconducting strip
      1. Plate in a parallel field
      2. Strip in a perpendicular field
  4. CRITICAL STATES IN THIN PLANAR TYPE-II SUPERCONDUCTORS WITH ANISOTROPIC FLUX-LINE PINNING
    1. Critical state in a superconducting strip with anisotropic pinning
    2. Fishtail effect in thin planar superconductors
    3. Critical state in a superconducting strip with an order-disorder transition in the vortex lattice
    4. Determination of critical current density anisotropy from experimental data
  5. CRITICAL STATES IN A THIN SUPERCONDUCTING STRIP IN AN INCLINED MAGNETIC FIELD
    1. Bean critical states
    2. Critical T states with constant jc⊥

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KEYWORDS and PACS

Keywords

flux pinning, magnetic fields, order-disorder transformations, type II superconductors

PACS

  • 74.25.Wx

    Vortex pinning (includes mechanisms and flux creep)

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3292280

PUBLICATION DATA

ISSN

1063-777X (print)  
1090-6517 (online)

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$abstract.society.value is a Member of CrossRef American Institute of Physics

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