Three state random energy model
Disordered Systems and Neural Networks
2024-11-05 v2 Statistical Mechanics
Abstract
We introduce a spin-1 version of the random energy model with crystal field. Crystal field controls the density of 0 spins in the system. We solve the model in the micro-canonincal ensemble. The model has a spin-glass transition at a finite temperature for all strengths of the crystal field. By introducing the magnetic field we also obtain the de Almeida Thouless line for the model. The spin-glass transition persists in the presence of external field. We also find that the magnetisation shows non-monotonic behaviour for high positive crystal field strengths. The zero magnetic field specific heat and magnetic susceptibility also exhibit a cusp beyond a threshold value of the crystal field.
Keywords
Cite
@article{arxiv.2410.13444,
title = {Three state random energy model},
author = {Sumedha and Matteo Marsili},
journal= {arXiv preprint arXiv:2410.13444},
year = {2024}
}