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Journal of Superconductivity and Novel Magnetism

, Volume 21, Issue 6, pp 343–352 | Cite as

Geometrical Barriers and the Growth of Flux Domes in Thin Ideal Superconducting Disks

  • John R. Clem
Original Paper

Abstract

When an ideal (no bulk pinning) flat type-II superconducting disk is subjected to a perpendicular magnetic field H a , the first vortex nucleates at the rim when H a =H 0, the threshold field, and moves quickly to the center of the disk. As H a increases above H 0, additional vortices join the others, and together they produce a domelike field distribution of radius b. In this paper I present analytic solutions for the resulting magnetic-field and sheet-current-density distributions. I show how these distributions vary as b increases with H a , and I calculate the corresponding field-increasing magnetization.

PACS

74.25.-q 74.78.Bz 74.25.Op 

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References

  1. 1.
    Girard, J.-P., Paumier, E., Fortini, A.: J. Phys. (Paris) 32, 895 (1971) Google Scholar
  2. 2.
    Huebener, R.P., Kampwirth, R.T., Clem, J.R.: J. Low Temp. Phys. 6, 275 (1972) CrossRefADSGoogle Scholar
  3. 3.
    Clem, J.R., Huebener, R.P., Gallus, D.E.: J. Low Temp. Phys. 12, 449 (1973) CrossRefADSGoogle Scholar
  4. 4.
    Provost, J., Paumier, E., Fortini, A.: J. Phys. F 4, 439 (1974) CrossRefADSGoogle Scholar
  5. 5.
    Castro, H., Dutoit, B., Jacquier, A., Baharami, M., Rinderer, L.: Phys. Rev. B 59, 596 (1999) CrossRefADSGoogle Scholar
  6. 6.
    Indenbom, M.V., Kronmüller, H., Li, T.W., Kes, P.H., Menovsky, A.A.: Physica C 222, 203 (1994) CrossRefADSGoogle Scholar
  7. 7.
    Schuster, Th., Indenbom, M.V., Kuhn, H., Brandt, E.H., Konczykowski, M.: Phys. Rev. Lett. 73, 1424 (1994) CrossRefADSGoogle Scholar
  8. 8.
    Zeldov, E., Larkin, A.I., Geshkenbein, V.B., Konczykowski, M., Majer, D., Khaykovich, B., Vinokur, V.M., Shtrikman, H.: Phys. Rev. Lett. 73, 1428 (1994) CrossRefADSGoogle Scholar
  9. 9.
    Fortini, A., Paumier, E.: Phys. Rev. B 14, 55 (1976) CrossRefADSGoogle Scholar
  10. 10.
    Fortini, A., Haire, A., Paumier, E.: Phys. Rev. B 21, 5065 (1980) CrossRefADSGoogle Scholar
  11. 11.
    Benkraouda, M., Clem, J.R.: Phys. Rev. B 53, 5716 (1996) CrossRefADSGoogle Scholar
  12. 12.
    Doyle, T.B., Labusch, R., Doyle, R.A.: Physica C 290, 148 (1997) CrossRefADSGoogle Scholar
  13. 13.
    Maksimov, I.L., Elistratov, A.A.: Appl. Phys. Lett. 72, 1650 (1998) CrossRefADSGoogle Scholar
  14. 14.
    Benkraouda, M., Clem, J.R.: Phys. Rev. B 58, 15103 (1998) CrossRefADSGoogle Scholar
  15. 15.
    Mawatari, Y., Clem, J.R.: Phys. Rev. Lett. 86, 2870 (2001) CrossRefADSGoogle Scholar
  16. 16.
    Zhelezina, N.V., Maksimova, G.M.: Tech. Phys. Lett. 28, 618 (2002) CrossRefADSGoogle Scholar
  17. 17.
    Babaei Brojeny, A.A., Mawatari, Y., Benkraouda, M., Clem, J.R.: Supercond. Sci. Technol. 15, 1454 (2002) CrossRefADSGoogle Scholar
  18. 18.
    Schweigert, V.A., Peeters, F.M.: Phys. Rev. Lett. 83, 2409 (1999) CrossRefADSGoogle Scholar
  19. 19.
    Singha Deo, P., Schweigert, V.A., Peeters, F.M.: Phys. Rev. B 59, 6039 (1999) CrossRefADSGoogle Scholar
  20. 20.
    Brandt, E.H.: Phys. Rev. B 60, 11939 (1999) CrossRefADSMathSciNetGoogle Scholar
  21. 21.
    Brandt, E.H.: Physica C 332, 99 (2000) CrossRefADSGoogle Scholar
  22. 22.
    Brandt, E.H.: Low Temp. Phys. 27, 723 (2001) CrossRefADSGoogle Scholar
  23. 23.
    Babaei Brojeny, A.A., Clem, J.R.: Phys. Rev. B 68, 174514 (2003) CrossRefADSGoogle Scholar
  24. 24.
    Berdiyorov, G.R., Cabral, L.R.E., Peeters, F.M.: J. Math. Phys. 46, 095105 (2005) CrossRefADSMathSciNetGoogle Scholar
  25. 25.
    Pearl, J.: Appl. Phys. Lett. 5, 65 (1964) CrossRefADSGoogle Scholar
  26. 26.
    Mikheenko, P.N., Kuzovlev, Yu.E.: Physica C 204, 229 (1993) CrossRefADSGoogle Scholar
  27. 27.
    Clem, J.R., Sanchez, A.: Phys. Rev. B 50, 9355 (1994) CrossRefADSGoogle Scholar
  28. 28.
    Kupriyanov, M.Yu., Likharev, K.K.: Fiz. Tverd. Tela 16, 2829 (1974) [Sov. Phys. Solid State 16, 1835 (1975)] Google Scholar
  29. 29.
    Morozov, N., Zeldov, E., Konczykowski, M., Doyle, R.A.: Physica C 291, 113 (1997) CrossRefADSGoogle Scholar
  30. 30.
    Kuznetsov, A.V., Eremenko, D.V., Trofimov, V.N.: Phys. Rev. B 56, 9064 (1997) CrossRefADSGoogle Scholar
  31. 31.
    Kuznetsov, A.V., Eremenko, D.V., Trofimov, V.N.: Phys. Rev. B 57, 5412 (1998) CrossRefADSGoogle Scholar
  32. 32.
    Wang, Y.M., Zettl, A., Ooi, S., Tamegai, T.: Phys. Rev. B 65, 184506 (2002) CrossRefADSGoogle Scholar
  33. 33.
    Aslamazov, L.G., Lempicki, S.V.: Zh. Eksp. Teor. Phys. 84, 2216 (1983) Google Scholar
  34. 34.
    Zeldov, E., Clem, J.R., McElfresh, M., Darwin, M.: Phys. Rev. B 49, 9802 (1994) CrossRefADSGoogle Scholar
  35. 35.
    Vodolazov, D.Yu., Maksimov, I.L., Brandt, E.H.: Europhys. Lett. 48, 313 (1999) CrossRefADSGoogle Scholar
  36. 36.
    Doyle, R.B., Labusch, R., Doyle, R.A.: Physica C 332, 365 (2000) CrossRefADSGoogle Scholar
  37. 37.
    Elistratov, A.A., Vodolazov, D.Yu., Maksimov, I.L., Clem, J.R.: Phys. Rev. B 66, 220506(R) (2002); Erratum: Phys. Rev. B 67, 099901(E) (2003) CrossRefADSGoogle Scholar
  38. 38.
    Mawatari, Y., Clem, J.R.: Phys. Rev. B 68, 024505 (2003) CrossRefADSGoogle Scholar
  39. 39.
    Jackson, J.D.: Classical Electrodynamics. Wiley, New York (1962) Google Scholar
  40. 40.
    Lamb, H.: Hydrodynamics. Dover, New York (1945) Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Ames Laboratory and Department of Physics and AstronomyIowa State UniversityAmesUSA

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