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arXiv · 0811.3435

Ising spin glass transition in magnetic field out of mean-field

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

The spin-glass transition in external magnetic field is studied 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. Evidence for a spin-glass transition in magnetic field is found also for systems whose equivalent dimension is below the upper critical dimension at zero magnetic field.

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L Leuzzi, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo. 2009-05-07. Ising spin glass transition in magnetic field out of mean-field. https://doi.org/10.1103/physrevlett.103.267201

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