Magnetic properties of the Ashkin–Teller model on a hexagonal nanotube

Francisco, R.M.; Santos, J.P.

doi:10.1016/j.physleta.2019.01.001

Cited by 17 publications

(2 citation statements)

References 38 publications

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“…On the other hand, magnetic nanomaterials have been extensively theoretically investigated using various models and approaches [12][13][14][15][16][17][18][19]. For example, N. Hachem et al [13] used the mean field approximation (MFA) to investigate the effects of exchange couplings and the crystal field on the magnetizations and phase diagrams of a ferrimagnetic mixed-spin (1/2, 3/2) nanotube with a core-shell structure, obtaining first and second-order phase transitions and compensation behaviors.. A. Kadiri et al [15] have also explored the phase diagrams, magnetic susceptibility, and hysteresis loops of ferromagnetic mixed spin-1/2 core and spin-3/2 shell Ising nanoparticles using Monte Carlo Simulation (MCS).…”

Section: Introductionmentioning

confidence: 99%

Mean Field Study of a Cylindrical Ferrimagnetic Nanotube with Different Anisotropies

Al Qahoom,

El Kihel,

Aharrouch

et al. 2023

JNanoR

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In this paper, the ferrimagnetic mixed spins (1, 5/2) Blume-Capel model is proposed to investigate the phase diagrams and hysteresis behaviors of a magnetic cylindrical nanotube with a core-shell structure using the mean-field approximation based on the Bogoliubov inequality for the Gibbs free energy. The core sites are occupied by σ= ±1, 0 spins, whereas the shell sites are filled by S= ±5/2, ±3/2, ±1/2 spins. The effects of exchange couplings (Jin, JS) and single-ion anisotropies (DC, DS) on core, shell, and total magnetizations are investigated, as well as hysteresis behaviors. The entropy, free energy, and specific heat are analyzed to establish the stability of the solutions. The presentation and discussion of phase diagrams is detailed. The system shows a first-order and second-order phase transitions, as well as tricritical and critical end- points. In addition, the system shows compensation and reentrant behaviors. Various multiple hysteresis loop behaviors are seen according on the Hamiltonian parameters, such as the presence of triple, quintuple, and septuple hysteresis loops.

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Section: Introductionmentioning

confidence: 99%

Mean Field Study of a Cylindrical Ferrimagnetic Nanotube with Different Anisotropies

Al Qahoom,

El Kihel,

Aharrouch

et al. 2023

JNanoR

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“…Regarding the models used in the study of magnetocaloric properties, what stands out mostly is the spin-1/2 Ising model [43][44][45][46][47][48]. In addition to this, other models can be used in the study of magnetic and thermodynamic characteristics of magnetic materials, such as: Ashkin-Teller (AT) model [49][50][51][52][53],…”

Section: Introductionmentioning

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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The Behavior of the Three-Dimensional Askin–Teller Model at the Mixed Phase Region by a New Monte Carlo Approach

Wojtkowiak

Musiał

2022

J Stat Phys

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The new approach of performing Monte Carlo (MC) simulations, which eliminates large oscillations of the values of the thermodynamic quantities computed for a mixed phase region, is demonstrated. The results are presented on the example of the mixed phase region in the 3D Askin–Teller (AT) model, where within a certain range of parameters with equal probabilities there appear two different, but equivalent, ways of ordering two of the three order parameters showing independent behavior. This new approach allowed us to exploit magnetization and internal energy curves, Binder cumulant, Challa- and the Lee-Kosterlitz-like cumulants as well as the internal energy distribution histogram. According to the most effective strategy, in the critical region, we use our recently proposed cluster MC algorithm and the Metropolis algorithm beyond it wherever it is applicable. The existence of two tricritical points and the bifurcation point in this area of the phase diagram is confirmed, and their locations are determined. It is explained that although the system as a whole does not show the presence of latent heat at the boundary of the mixed phase region and the antiferromagnetic phase, it does occur for various order parameters. Specifically, the increase in the energy of the degrees of freedom of one kind is accompanied by an equal decrease in the energy of the degrees of freedom of the other kind.

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Magnetic properties of the Ashkin–Teller model on a hexagonal nanotube

Cited by 17 publications

References 38 publications

Mean Field Study of a Cylindrical Ferrimagnetic Nanotube with Different Anisotropies

Mean Field Study of a Cylindrical Ferrimagnetic Nanotube with Different Anisotropies

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

The Behavior of the Three-Dimensional Askin–Teller Model at the Mixed Phase Region by a New Monte Carlo Approach

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