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

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

2005-07-06

arxiv.org/abs/cond-mat/0507138v4

Phys. Rev. B 72, 184416 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 3 figures, 3 tables

Scientific paper

10.1103/PhysRevB.72.184416

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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