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

E.M.F. Curado and J.-L. Meunier

Physica A: Statistical Mechanics and its Applications, 1988, vol. 149, issue 1, 164-181

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.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:149:y:1988:i:1:p:164-181

DOI: 10.1016/0378-4371(88)90212-9

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