Three state random energy model
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917826557640704 |
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| author | Sumedha Marsili, Matteo |
| author_facet | Sumedha Marsili, Matteo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13444 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three state random energy model Sumedha Marsili, Matteo Disordered Systems and Neural Networks Statistical Mechanics 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. |
| title | Three state random energy model |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2410.13444 |