Replica analysis of partition-function zeros in spin-glass models
Disordered Systems and Neural Networks
2015-03-17 v2 Statistical Mechanics
Abstract
We study the partition-function zeros in mean-field spin-glass models. We show that the replica method is useful to find the locations of zeros in a complex parameter plane. For the random energy model, we obtain the phase diagram in the plane and find that there are two types of distribution of zeros: two-dimensional distribution within a phase and one-dimensional one on a phase boundary. Phases with a two-dimensional distribution are characterized by a novel order parameter defined in the present replica analysis. We also discuss possible patterns of distributions by studying several systems.
Cite
@article{arxiv.1101.3658,
title = {Replica analysis of partition-function zeros in spin-glass models},
author = {Kazutaka Takahashi},
journal= {arXiv preprint arXiv:1101.3658},
year = {2015}
}
Comments
23 pages, 12 figures; minor changes