The correspondence between long-range and short-range spin glasses
Disordered Systems and Neural Networks
2012-11-12 v1 Statistical Mechanics
Abstract
We compare the critical behavior of the short-range Ising spin glass with a spin glass with long-range interactions which fall off as a power sigma of the distance. We show that there is a value of sigma of the long-range model for which the critical behavior is very similar to that of the short-range model in four dimensions. We also study a value of sigma for which we find the critical behavior to be compatible with that of the three dimensional model, though we have much less precision than in the four-dimensional case.
Cite
@article{arxiv.1207.7014,
title = {The correspondence between long-range and short-range spin glasses},
author = {R. A. Baños and L. A. Fernandez and V. Martin-Mayor and A. P. Young},
journal= {arXiv preprint arXiv:1207.7014},
year = {2012}
}
Comments
15 pages, 10 figures