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Three-state random energy model
Sumedha1,2, Matteo Marsili3
1National Institute of Science Education and Research, School of Physical Sciences, Bhubaneswar, P.O. Jatni 752050, India.
Physical Review. E
|March 19, 2025
Summary
This study introduces a spin-1 random energy model with a crystal field, revealing a spin-glass transition at finite temperatures. The transition persists with magnetic fields, showing unique magnetization and thermodynamic behaviors.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Magnetism
Background:
- The random energy model is a fundamental model in statistical physics.
- Understanding spin-glass transitions is crucial for materials science.
- Crystal fields significantly influence magnetic properties.
Purpose of the Study:
- To introduce and analyze a spin-1 random energy model incorporating a crystal field.
- To investigate the impact of crystal fields on spin density and phase transitions.
- To explore the model's behavior under external magnetic fields.
Main Methods:
- Solving the model in the microcanonical ensemble.
- Analyzing the effects of crystal field strength on spin-1 systems.
- Introducing magnetic fields to study phase diagram modifications.
Main Results:
- A spin-glass transition occurs at finite temperatures for all crystal field strengths.
- The de Almeida-Thouless line is derived, and the transition persists under magnetic fields.
- Nonmonotonic magnetization and cusp anomalies in specific heat and susceptibility are observed.
Conclusions:
- The spin-1 random energy model with a crystal field exhibits rich magnetic behavior.
- Crystal fields play a critical role in determining spin-glass properties and phase transitions.
- The model provides insights into complex magnetic systems with competing interactions.
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