Phase diagrams of soluble multi-spin glass models
Disordered Systems and Neural Networks
2011-11-09 v1 Statistical Mechanics
Abstract
We include p-spin interactions in a spherical version of a soluble mean-field spin-glass model proposed by van Hemmen. Due to the simplicity of the solutions, which do not require the use of the replica trick, we are able to carry out a detailed investigation of a number of special situations. For p larger or equal to 3, there appear first-order transitions between the paramagnetic and the ordered phases. In the presence of additional ferromagnetic interactions, we show that there is no stable mixed phase, with both ferromagnetic and spin-glass properties.
Keywords
Cite
@article{arxiv.cond-mat/0505566,
title = {Phase diagrams of soluble multi-spin glass models},
author = {P. T. Muzy and A. P. Vieira and S. R. Salinas},
journal= {arXiv preprint arXiv:cond-mat/0505566},
year = {2011}
}
Comments
To appear in Physica A