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arXiv · 1006.3450

Bond diluted Levy spin-glass model and a new finite size scaling method to determine a phase transition

L. Leuzzi·G. Parisi·F. Ricci-Tersenghi·J. J. Ruiz-Lorenzo
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Abstract

A spin-glass transition occurs both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the inverse power of the distance. Varying the power in this long-range model corresponds, in a one-to-one relationship, to change the dimension in spin-glass short-range models. Using different finite size scaling methods evidence for a spin-glass transition is found also for systems whose equivalent dimension is below the upper critical dimension at zero magnetic field. The application of a new method is discussed, that can be exported to systems in a magnetic field.

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L. Leuzzi, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo. 2010-06-17. Bond diluted Levy spin-glass model and a new finite size scaling method to determine a phase transition. https://doi.org/10.1080/14786435.2010.534741

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