Abstract
Recent developments in the theory of spin glasses are discussed. There has been considerable progress, due to Parisi, Sompolinsky, and others, towards understanding the infinite range (mean field) model of Sherrington and Kirkpatrick. Relaxation times diverge in the thermodynamic limit, and this nonergodic behavior is now understood to be the cause of earlier difficulties. There has been less progress in the study of more realistic models with short-range interactions, but numerical studies have shown rather clearly the absence of a finite temperature transition in two dimensions. There is probably no transition ind=3 either, though the evidence is less clearcut, which makes it difficult to understand the sharpness of the “freezing” observed experimentally. Well below the freezing temperature ESR and torque measurements have been fairly well explained by a theory of Henley, Sompolinsky, and Halperin, in which an important ingredient is anisotropy due to the Dzyloshinsky-Moriya interaction proposed by Fert and Levy.
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Young, A.P. Spin glasses. J Stat Phys 34, 871–881 (1984). https://doi.org/10.1007/BF01009446
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DOI: https://doi.org/10.1007/BF01009446