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Probing the Almeida-Thouless line away from the mean-field model

Helmut G. Katzgraber·A. P. Young
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Abstract

Results of Monte Carlo simulations of the one-dimensional long-range Ising spin glass with power-law interactions in the presence of a (random) field are presented. By tuning the exponent of the power-law interactions, we are able to scan the full range of possible behaviors from the infinite-range (Sherrington-Kirkpatrick) model to the short-range model. A finite-size scaling analysis of the correlation length indicates that the Almeida-Thouless line does not occur in the region with non-mean-field critical behavior in zero field. However, there is evidence that an Almeida-Thouless line does occur in the mean-field region.

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Helmut G. Katzgraber, A. P. Young. 2005-11-16. Probing the Almeida-Thouless line away from the mean-field model. https://doi.org/10.1103/physrevb.72.184416

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