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

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

2010-06-17

arxiv.org/abs/1006.3450v1

Philos. Mag. 91, 1917 (2011)

Physics

Computational Physics

8 pages, 8 figures, 1 table

Scientific paper

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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