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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 75))

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Abstract

Results of Monte Carlo simulations in three and four spatial dimensions of a simple model that seems to have the necessary ingredients for disordered type-II superconductor behavior in an external magnetic field are reported. The data suggest that in d = 3 dimensions there is a finite temperature phase transition at T ≈ 0.45 into a truly superconducting vortex glass phase with infinite d.c. conductivity The (effective) correlation length exponent v and the dynamic critical exponent z at this transition are in good agreement with experiments. In d = 4 dimensions the gauge glass transition is located at T ≈ 0.95. It is concluded that the lack of time reversal symmetry in the model places it into a universality class different from that of the XY spin glass.

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References

  1. J.A. Hertz, Phys. Rev. B 18, 4875 (1978)

    ADS  Google Scholar 

  2. G. Toulouse, Commun. Phys. 2, 115 (1977)

    Google Scholar 

  3. W.Y. Shih, C. Ebner and D. Stroud, Phys. Rev. B 30, 134 (1984)

    ADS  Google Scholar 

  4. S. John and T.C. Lubensky, Phys. Rev. B 34, 4815 (1986)

    ADS  Google Scholar 

  5. M.P.A. Fisher, Phys. Rev. Lett. 62, 1415 (1989)

    Article  ADS  Google Scholar 

  6. D.S. Fisher, M.P.A. Fisher and D.A. Huse, Phys. Rev. B 43, 130 (1991)

    ADS  Google Scholar 

  7. A.I. Larkin, Sov. Phys. JETP 31, 784 (1970)

    ADS  Google Scholar 

  8. A.I. Larkin and Yu. N. Ovchinikov, J. Low. Temp.. Phys. 34, 409 (1979)

    Article  ADS  Google Scholar 

  9. J. Toner, Phys. Rev. Lett. 66, 2523 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  10. Y.B. Kim and M.J. Stephen, in Superconductivity, edited by R.D. Parks (Dekker, New York, 1969), Vol. 2.

    Google Scholar 

  11. M. Tinkham, Phys. Rev. Lett. 61 1658 (1988)

    Article  ADS  Google Scholar 

  12. A.P. Malozemoff, in Physical Properties of High Temperature Superconductors I, edited by D.M. Ginsberg (World Scientific, Singapore, 1989)

    Google Scholar 

  13. K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986)

    Article  ADS  Google Scholar 

  14. S.F. Edwards and P.W. Anderson, J. Phys. F 5, 965 (1975)

    Article  ADS  Google Scholar 

  15. D.A. Huse and H.S. Seung, Phys. Rev. B 42, 1059 (1990)

    ADS  Google Scholar 

  16. S. Jain and A.P. Young, J. Phys. C 19, 3913 (1986)

    ADS  Google Scholar 

  17. B.W. Morris, S.G. Colborne, M.A. Moore, A.J. Bray and J. Canisius, J. Phys. C 19, 1157 (1986)

    ADS  Google Scholar 

  18. J.D. Reger, T.A. Tokuyasu, A.P. Young and M.P.A. Fisher, Phys. Rev. B 44, 7147 (1991)

    ADS  Google Scholar 

  19. R.N. Bhatt and A.P. Young, Phys. Rev. Lett. 54, 924 (1985)

    Article  ADS  Google Scholar 

  20. R.N. Bhatt and A.P. Young, Phys. Rev. B 37, 5606 (1988)

    ADS  Google Scholar 

  21. A.J. Bray and M.A. Moore, Phys. Rev. B 31, 631 (1985)

    ADS  Google Scholar 

  22. W.L. McMillan, Phys. Rev. B 31, 340 (1985)

    ADS  Google Scholar 

  23. T. Ohta and D. Jasnow, Phys. Rev. B 20, 139 (1979)

    ADS  Google Scholar 

  24. C. Ebner and D. Stroud, Phys. Rev. B 28, 5053 (1983)

    ADS  Google Scholar 

  25. R.H. Koch, V. Foglietti, W.J. Gallagher, G. Koren, A. Gupta and M.P.A. Fisher, Phys. Rev. Lett. 63, 1511 (1989);

    Article  ADS  Google Scholar 

  26. P.L. Gammel, L.F. Schneemener and D.J. Bishop, Phys. Rev. Lett. 66, 953 (1991)

    Article  ADS  Google Scholar 

  27. H.K. Olsson, R.H. Koch, W. Eidelloth and R.P. Robertazzi, Phys. Rev. Lett. 66, 2661 (1991)

    Article  ADS  Google Scholar 

  28. R.N. Bhatt and A.P. Young (unpublished)

    Google Scholar 

  29. D.S. Fisher and D.A. Huse, private communication.

    Google Scholar 

  30. M.P.A. Fisher, T.A. Tokuyasu and A.P. Young, Phys. Rev. Lett. 66, 2931 (1991)

    Article  ADS  Google Scholar 

  31. M.J.P. Gingras, (unpublished)

    Google Scholar 

  32. M.A. Moore and S. Murphy, Phys. Rev. B 42, 2587 (1990)

    ADS  Google Scholar 

  33. M.J.P. Gingras, Phys. Rev. B 43, 13747 (1991)

    ADS  Google Scholar 

  34. M. Cieplak, J.R. Banavar and A. Khurana, J. Phys. A 24, L145 (1991)

    ADS  Google Scholar 

  35. M. Cieplak, J.R. Banavar, M.S. Li and A. Khurana Phys. Rev. B 45, 786 (1992)

    ADS  Google Scholar 

  36. M.J.P. Gingras, Phys. Rev. B 44, 7139 (1991)

    ADS  Google Scholar 

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© 1993 Springer-Verlag Berlin Heidelberg

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Reger, J.D. (1993). The Gauge Glass Transition. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics V. Springer Proceedings in Physics, vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78083-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-78083-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78085-1

  • Online ISBN: 978-3-642-78083-7

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