Bond diluted Levy spin-glass model and a new finite size scaling method to determine a phase transition
Computational Physics
2015-05-19 v1 Disordered Systems and Neural Networks
Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.1006.3450,
title = {Bond diluted Levy spin-glass model and a new finite size scaling method to determine a phase transition},
author = {L. Leuzzi and G. Parisi and F. Ricci-Tersenghi and J. J. Ruiz-Lorenzo},
journal= {arXiv preprint arXiv:1006.3450},
year = {2015}
}
Comments
8 pages, 8 figures, 1 table