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Spin-glass in low dimensions and the Migdal-Kadanoff approximation

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  • Curado, E.M.F.
  • Meunier, J.-L.

Abstract

We study the spin-glass problem within the Migdal-Kadanoff approximation of the hyper cubic lattices. Using various approaches, both analytical and numerical, we perform the real space renormalization of the problem. We find that a spin-glass transition occurs in three dimensions while it does not occur in two dimensions. The specific heat critical exponent for the transition is found to be large and negative, in agreement with the experimental results.

Suggested Citation

  • Curado, E.M.F. & Meunier, J.-L., 1988. "Spin-glass in low dimensions and the Migdal-Kadanoff approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 164-181.
    • Handle: RePEc:eee:phsmap:v:149:y:1988:i:1:p:164-181
    DOI: 10.1016/0378-4371(88)90212-9
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    1. Bogdanowicz-Bindert, Christine A., 1983. "Portugal, Turkey and Peru: Three successful stabilization programmes under the auspices of the IMF," World Development, Elsevier, vol. 11(1), pages 65-70, January.
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