Three state random energy model

Sumedha; Matteo Marsili

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arXiv · 2410.13444

Three state random energy model

Sumedha·Matteo Marsili

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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.

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Sumedha, Matteo Marsili. 2024-10-17. Three state random energy model. https://arxiv.org/abs/2410.13444

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