Acta Physica Hungarica

, Volume 63, Issue 1–2, pp 177–185 | Cite as

Computer simulation of pinning in type-II superconductors and the theory of collective pinning

  • E. H. Brandt
Condensed Matter


The problem of pinning of flux-lines by random inhomogeneities is discussed. The theory of collective pinning, which was established recently by Larkin and Ovchinnikov and has proven successful in weak-pinning amorphous alloys, is discussed in some detail. Then computer simulation of pinning is described and the results are discussed. They confirm collective pinning theory for weak two-dimensional pinning and modify it at strong pinning where the flux-line lattice becomes amorphous. The threshold-behaviour predicted by the “dilute limit theories” proves to be an artifact which is due to the non-existence of this limit in sufficiently large specimens.


Screw Dislocation Random Inhomogeneity Direct Summation Collective Pinning Weak Pinning 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    P.W. Anderson, Phys. Rev. Lett.,9, 309, 1962.CrossRefADSGoogle Scholar
  2. 2.
    K. Yamafuji and F. Irie, Phys. Lett.,A25, 387, 1967.CrossRefGoogle Scholar
  3. 3.
    R. Labusch, Cryst. Lattice Defects,1, 1, 1969.Google Scholar
  4. 4.
    A.M. Campbell and J.E. Evetts, Adv. Phys.,21, 199, 1972.CrossRefADSGoogle Scholar
  5. 5.
    A. I. Larkin and Yu. N. Ovchinnikov, J. Low Temp. Phys.,34, 409, 1979.CrossRefADSGoogle Scholar
  6. 6.
    E.H. Brandt, J. Low Temp. Phys.,53, 41 and 71; Phys. Rev. Lett.,50, 1599, 1983.CrossRefADSGoogle Scholar
  7. 7.
    P.A. Lee and T.M. Rice, Phys. Rev.,B19, 3970, 1979.ADSCrossRefGoogle Scholar
  8. 8.
    P.H. Kes and C.C. Tsuei, Phys. Rev. Lett.,47, 1930, 1981; Phys. Rev.,B28, 5126, 1983.CrossRefADSGoogle Scholar
  9. 9.
    E.H. Brandt, Phys. Rev. Lett., 56, 1381, 1986.CrossRefADSGoogle Scholar
  10. 10.
    R. Wördenweber and P.H. Kes, Phys. Rev. B.,34, 494, 1986.CrossRefADSGoogle Scholar
  11. 11.
    E.H. Brandt, Phys. Rev. Lett.,57, 1347, 1986.CrossRefADSGoogle Scholar
  12. 12.
    E.H. Brandt, J. Low Temp. Phys.,64, 375, 1986.CrossRefADSMathSciNetGoogle Scholar
  13. 13.
    H.R. Hilzinger, Phil. Mag.,36, 225, 1977.CrossRefADSGoogle Scholar
  14. 14.
    E.H. Brandt, J. Low Temp. Phys.,26, 709, 735;28, 263, 291, 1977.CrossRefADSGoogle Scholar
  15. 15.
    A. Seeger, Handbuch der Physik (Springer, Berlin, 1955, 1958), Vol. VII, 1, 1955, Vol. II, 2, 1958.Google Scholar
  16. 16.
    R. Schmucker, Phil. Mag.,35, 430, 1977.ADSGoogle Scholar
  17. 17.
    S.J. Mullock and J.E. Evetts, J. Appl. Phys.,57, 2588, 1985.CrossRefADSGoogle Scholar

Copyright information

© Akadémiai Kiadó 1988

Authors and Affiliations

  • E. H. Brandt
    • 1
  1. 1.Max Planck Institute for Metal ResearchInstitute for PhysicsStuttgartFRG

Personalised recommendations