Phase diagrams and magnetization curves of the three-dimensional spin-1 Ashkin-Teller model including metastable and unstable states

Francisco, R.M.; Carvalho, José Jorge Sousa; Oyadomari, G.Y.; Santos, J.P.

doi:10.1016/j.physa.2019.121819

Cited by 10 publications

(2 citation statements)

References 16 publications

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“…To obtain the above variational parameter, we must minimize the free energy as presented more in detail in the references [64,68,80]. After the calculations, we obtain expressions for free energy and magnetization, given by…”

Section: Model and Formulationmentioning

confidence: 99%

Theoretical analysis of magnetic properties and the magnetocaloric effect using the Blume-Capel model

Oliveira¹,

Morais²,

Santos³

et al. 2022

Condens. Matter Phys.

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This work investigates the magnetic properties and the magnetocaloric effect in the spin-1 Blume-Capel model. The study was carried out using the mean-field theory from the Bogoliubov inequality to obtain the expressions of free energy, magnetization and entropy. The magnetocaloric effect was calculated from the variation of the entropy obtained by the mean-field theory. Due to the dependence on the external magnetic field and the anisotropy included in the model, the results for the magnetocaloric effect provided the system with first-order and continuous phase transitions. To ensure the results, the Maxwell relations were used in the intervals where the model presents continuous variations in magnetization and the Clausius-Clapeyron equation in the intervals where the model presents discontinuity in the magnetization. The methods and models for the analysis of a magnetic entropy change and first-order and continuous magnetic phase transitions, such as mean-field theory and the Blume-Capel model, are useful tools in understanding the nature of the magnetocaloric effect and its physical relevance.

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Section: Model and Formulationmentioning

confidence: 99%

Theoretical analysis of magnetic properties and the magnetocaloric effect using the Blume-Capel model

Oliveira¹,

Morais²,

Santos³

et al. 2022

Condens. Matter Phys.

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“…Furthermore, the oxygen estimate can also be adapted in YBa 2 Cu 3 O z to the two-dimensional Ashkin-Teller model [13]. This model has also been applied over the years in other fields such as chemical reactions in metal alloys [20]. In addition and because of the similarities to this model, which presents a complex and important phase diagram, different theoretical and numerical methods have been applied including Monte Carlo simulation [21], mean field approximation [22], effective field theory [23], matrix transfer method [24] and renormalization group theory [25].…”

Section: Introductionmentioning

confidence: 99%

Study of the Ashkin Teller model with spins S = 1 and σ = 3/2 subjected to different crystal fields using the Monte-Carlo method

Amimer¹,

Bekhechi²,

Brahmi³

et al. 2020

Condens. Matter Phys.

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Using the Monte-Carlo method, we study the magnetic properties of the Ashkin-Teller model (ATM) under the effect of the crystal field with spins S = 1 and σ = 3/2. First, we determine the most stable phases in the phase diagrams at temperature T = 0 using exact calculations. For higher temperatures, we use the Monte-Carlo simulation. We have found rich phase diagrams with the ordered phases: a Baxter 3/2 and a Baxter 1/2 phases in addition to a σS phase that does not show up either in ATM spin 1 or in ATM spin 3/2 and, lastly, a σ = 1/2 phase with first and second order transitions.

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Magnetic Properties in the Spin-3/2 Ashkin-Teller Model from Mean Field Theory

Santos,

Nascimento,

Morais

et al. 2024

Braz J Phys

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Phase diagrams and magnetization curves of the three-dimensional spin-1 Ashkin-Teller model including metastable and unstable states

Cited by 10 publications

References 16 publications

Theoretical analysis of magnetic properties and the magnetocaloric effect using the Blume-Capel model

Theoretical analysis of magnetic properties and the magnetocaloric effect using the Blume-Capel model

Study of the Ashkin Teller model with spins S = 1 and σ = 3/2 subjected to different crystal fields using the Monte-Carlo method

Magnetic Properties in the Spin-3/2 Ashkin-Teller Model from Mean Field Theory

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