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

Source: Low Temp. Phys. 36, 2 (2010); doi:10.1063/1.3293696

Issue Date: 15 March 2010

KEYWORDS and PACS
Keywords
PACS
  • 74.70.-b
    Superconducting materials
  • 74.25.Wx
    Vortex pinning (includes mechanisms and flux creep)
  • 74.20.De
    Phenomenological theories of superconductivity
  • 74.25.Ha
    Magnetic properties of superconductors
  • 74.25.Ld
    Mechanical and acoustical properties of superconductors
  • 74.78.-w
    Superconducting films and low-dimensional structures
  • YEAR: 2010
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PUBLICATION DATA
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Ernst Helmut Brandt
Max Planck Institute for Metals Research, D-70506 Stuttgart, Germany
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 kappa. ©2010 American Institute of Physics
History: Submitted 2 May 2009
Permalink: http://link.aip.org/link/?LTPHEG/36/2/1

REFERENCES (27)

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  1. V. L. Ginzburg and L. D. Landau, Zh. Eksp. Teor. Fiz. 20, 1064 (1950);
  2. also in Men of Physics, edited by L. D. Landau and D. ter Haar, Pergamon, New York (1965), Vol. 1, p. 138.
  3. A. A. Abrikosov, Zh. Eksp. Teor. Fiz. 32, 1442 (1957)
  4. [Sov. Phys. JETP 5, 1174 (1957)].
  5. R. Feynman, Low Temp. Phys. 1, 36 (1955).
  6. D. Cribier, B. Jacrot, L. Madhav Rao, and B. Farnoux, in Progress in Low Temperature Physics, edited by C. J. Gorter, North Holland, Amsterdam (1967), Vol. 5, p. 161.
  7. U. Essmann and H. Träuble, Phys. Rev. A 24, 526 (1967);
  8. Phys. Status Solidi 32, 337 (1969).
  9. H. Träuble and U. Essmann, J. Appl. Phys. 39, 4052 (1969).
  10. E. H. Brandt, Phys. Status Solidi 35, 1027 (1969);
  11. 36, 371 (1969);
    36, 381 (1969);
    36, 393 (1969).
  12. E. T. Whittaker and G. N. Watson, Modern Analysis, Cambridge University Press, New York (1927).
  13. R. Labusch, Phys. Status Solidi 32, 439 (1969);
  14. E. H. Brandt, Phys. Status Solidi B 77, 551 (1976);
    M. A. Moore, Phys. Rev. B 39, 136 (1989).
  15. E. H. Brandt, Phys. Rev. B 56, 9071 (1997).
  16. E. H. Brandt, J. Low Temp. Phys. 26, 709 (1977);
  17. 26, 735 (1977);
  18. 28, 263 (1977);
  19. 28, 291 (1977).
  20. E. H. Brandt, Rep. Prog. Phys. 58, 1465 (1995).
  21. E. H. Brandt, Phys. Rev. B 34, 6514 (1986).
  22. D. Ihle, Phys. Status Solidi B 47, 423 (1971).
  23. E. H. Brandt, Phys. Rev. B 68, 054506 (2003).
  24. E. H. Brandt, Phys. Status Solidi B 51, 354 (1972).
  25. E. H. Brandt, Phys. Rev. Lett. 78, 2208 (1997).
  26. M. M. Doria, J. E. Gubernatis, and D. Rainer, Phys. Rev. B 39, 9573 (1989);
  27. 41, 6335 (1991);
    see also: U. Klein and B. Pottinger, Phys. Rev. B 44, 7704 (1991).
  28. I. L. Landau and H. Keller, Physica C 466, 131 (2007).
  29. E. H. Brandt, J. Low Temp. Phys. 73, 355 (1988).
  30. E. H. Brandt and A. Seeger, Adv. Phys. 35, 189 (1986).
  31. E. H. Brandt, Physica B 404, 695 (2009).
  32. E. H. Brandt, Phys. Rev. B 71, 014521 (2005).
  33. E. Conen and A. Schmid, J. Low Temp. Phys. 17, 331 (1974).
  34. M. M. Doria, E. H. Brandt, and P. M. Peeters, Phys. Rev. B 78, 054407 (2008).
  35. E. H. Brandt, Phys. Rev. B 64, 024505 (2001).
  36. L. D. Landau and E. M. Lifshitz, Course in Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media, Pergamon, Oxford (1960).

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