Ising Spin Glasses in dimension five
Disordered Systems and Neural Networks
2017-01-18 v1
Abstract
Ising spin glass models with bimodal, Gaussian, uniform and Laplacian interaction distributions in dimension five are studied through detailed numerical simulations. The data are analyzed in both the finite-size scaling regime and the thermodynamic limit regime. It is shown that the values of critical exponents and of dimensionless observables at criticality are model dependent. Models in a single universality class have identical values for each of these critical parameters, so Ising spin glass models in dimension five with different interaction distributions each lie in different universality classes. This result confirms conclusions drawn from measurements in dimension four and dimension two.
Keywords
Cite
@article{arxiv.1606.03108,
title = {Ising Spin Glasses in dimension five},
author = {P. H. Lundow and I. A. Campbell},
journal= {arXiv preprint arXiv:1606.03108},
year = {2017}
}
Comments
13 pages, 26 figures