On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field
Disordered Systems and Neural Networks
2021-11-08 v2 Mathematical Physics
math.MP
Probability
Abstract
We study the phase transition of the free energy in the Sherrington-Kirkpatrick mean-field spin glass model with centered Gaussian external field. We show that the corresponding Almeida-Thouless line is the correct transition curve that distinguishes between the replica symmetric and replica symmetry breaking solutions in the Parisi formula.
Keywords
Cite
@article{arxiv.2103.04802,
title = {On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field},
author = {Wei-Kuo Chen},
journal= {arXiv preprint arXiv:2103.04802},
year = {2021}
}
Comments
11 pages. Section 2 and Figures 1, 2 are added