Abstract
Scaling in the transition to coherence of randomly coupled granular superconductors is described by critical exponents unexpectedly close to those reported for the spin-glass transition. We discuss a model of non-homogeneous transitions, localised in the regions of highest coupling energy in the sample. Thermal exponents are expressed in terms of percolation exponents; the numerical values thus obtained are in good agreement with the experimental ones.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. Pellan, G. Dousselin, H. Cortes and J. Rosenblatt, Sol. St. Comm.,11, 427, 1972.
B. Abeles, P. Sheng, M.I. Coutts and Y. Arie, Adv. Phys.,23, 407, 1975.
E. Simanek, Sol. St. Comm.,31, 419, 0979.
G. Deutscher, Y. Imry and L.C. Gunther, Phys. Rev., B10, 4598, 1974.
B.G. Orr, H.M. Jaeger, A.M. Goldman and C.G. Kuper, Phys. Rev. Lett.,56, 378, 1986.
J. Rosenblatt, A. Raboutou and P. Pellan, Proc. of LT 14, ed. by M. Krusius and M. Vuorio, North Holland, Amsterdam, 1975, Vol. 2, p. 361.
J. Rosenblatt in Percolation, Localization and Superconductivity, ed. by A.M. Goldman and S.A. Wolf, NATO A.S.I. Series, Plenum Press N.Y., 1984, 9. 431.
A. Raboutou, J. Rosenblatt and P. Peyral, Phys. Rev. Lett.,45, 1035, 1980.
J. Rosenblatt, P. Peyral and A. Raboutou, Phys. Lett.,98A, 463, 1983.
C. Lebeau, J. Rosenblatt, A. Raboutou and P. Peyral, Europhys. Lett.,1, 313, 1986.
P. Peyral, A. Raboutou, C. Lebeau and J. Rosenblatt, to be published in J. Phys. C.
J.L. Tholence, Proceedings of LT 17, Physica126B, 157, 1984.
G. Toulouse, Commun. Phys.,2, 155, 1977.
W.Y. Shih, C. Ebner and D. Stroud, Phys. Rev., B30, 134, 1984; C. Ebner and D. Stroud, Phys. Rev.,B29, 5053, 1983.
J. Sajeev and T.C. Lubensky, Phys. Rev. Lett.,55, 1014, 1985.
A. Brooks Harris, J. Phys.C7, 1671, 1974.
A. Weinrib and B.I. Halperin, Phys. Rev., B27, 413, 1983.
B.B. Mandelbrot, “The Fractal Geometry of Nature”, Freeman, San Francisco, 1982.
D. Stauffer, Phys. Rep.,54, 1, 1979; J.W. Essam, Rep. Prog. Phys.,43, 53, 1980.
J. Rosenblatt, Phys. Rev.,B28, 5316, 1983.
M. Susuki, Phys. Lett.,A38, 23, 1972, Prog. Theor. Phys.,69, 65, 1983.
J.C. Le Guillou and J. Zinn-Justin, Phys. Rev. Lett.,39, 95, 1977.
K.H. Mueller, F. Pobell and G. Ahlers, Phys. Rev. Lett.,34, 513, 1975.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rosenblatt, J. Analogies between granular superconductors and spin-glasses. Acta Physica Hungarica 63, 187–193 (1988). https://doi.org/10.1007/BF03155772
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03155772