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

Luca Leuzzi (1) , Federico Ricci-Tersenghi (2) , Giorgio Parisi (2) , Juan J Ruiz-Lorenzo (3)

1 UOS Rome
2 Physics
3 Physics

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.

Mots clés: Physical Sciences

Luca Leuzzi, Federico Ricci-Tersenghi, Giorgio Parisi, Juan J Ruiz-Lorenzo. Bond diluted Levy spin-glass model and a new finite size scaling method to determine a phase transition. Philosophical Magazine, 2010, pp.1. ⟨10.1080/14786435.2010.534741⟩. ⟨hal-00654136⟩