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Low Temperature Physics / Volume 36 / Issue 1

Low Temp. Phys. 36, 2 (2010); http://dx.doi.org/10.1063/1.3293696 (11 pages)

Ideal and distorted vortex lattice in bulk and film superconductors (Review)

Ernst Helmut Brandt

Max Planck Institute for Metals Research, D-70506 Stuttgart, Germany

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The solution of the linearized Ginzburg-Landau theory describing a periodic lattice of vortex lines in type-II superconductors with high inductions and first discovered by Abrikosov is generalized to nonperiodic vortex arrangements, e.g. lattices with a vacancy, surrounded by a relaxing vortex lattice, and periodically distorted lattices that are needed in the nonlocal theory of elasticity of a vortex lattice. Generalizations to lower magnetic inductions and three-dimensional arrangements of curved vortex lines are also given. It is shown how a periodic vortex lattice can be computed for bulk superconductors and for thick and thin films in a perpendicular field for all inductions B and all Ginzburg-Landau parameters κ.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. ABRIKOSOV’S IDEAL VORTEX LATTICE NEAR Bc2
  3. DISTORTED VORTEX LATTICE NEAR Bc2
  4. VORTEX LATTICE VACANCY NEAR Bc2
  5. DISTORTED VORTEX LATTICE AWAY FROM BC2
  6. CURVED VORTICES
  7. NONLOCAL ELASTICITY OF A VORTEX LATTICE
  8. VORTEX ARRANGEMENTS AT LOW INDUCTIONS
  9. VORTEX LATTICE SOLUTION FOR ALL κ AND math
  10. VORTEX LATTICE FOR THIN AND THICK FILMS

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KEYWORDS and PACS

Keywords

elasticity, electromagnetic induction, flux pinning, Ginzburg-Landau theory, superconducting thin films, type II superconductors

PACS

  • 74.70.-b

    Superconducting materials other than cuprates

  • 74.25.Wx

    Vortex pinning (includes mechanisms and flux creep)

  • 74.20.De

    Phenomenological theories (two-fluid, Ginzburg-Landau, etc.)

  • 74.25.Ha

    Magnetic properties including vortex structures and related phenomena

  • 74.25.Ld

    Mechanical and acoustical properties, elasticity, and ultrasonic attenuation

  • 74.78.-w

    Superconducting films and low-dimensional structures

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3293696

PUBLICATION DATA

ISSN

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

Publisher

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

For access to fully linked references, you need to log in.
    H. Träuble and U. Essmann, J. Appl. Phys. 39, 4052 (1969)JAPIAU000039000009004052000001.

    E. H. Brandt, Phys. Rev. B 56, 9071 (1997).

    E. H. Brandt, Phys. Rev. B 34, 6514 (1986).

    E. H. Brandt, Phys. Rev. B 68, 054506 (2003).

    E. H. Brandt, Phys. Rev. Lett. 78, 2208 (1997).

    M. M. Doria, J. E. Gubernatis, and D. Rainer, Phys. Rev. B 39, 9573 (1989)
    41, 6335 (1991)
    see also: U. Klein and B. Pottinger, Phys. Rev. B 44, 7704 (1991).

    E. H. Brandt, Phys. Rev. B 71, 014521 (2005).

    M. M. Doria, E. H. Brandt, and P. M. Peeters, Phys. Rev. B 78, 054407 (2008).

    E. H. Brandt, Phys. Rev. B 64, 024505 (2001).


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