Magnetocaloric effect in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si12.svg"><mml:mrow><mml:msub><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>–</mml:mo><mml:msub><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> transverse Ising model

Guerrero, Alejandra I.; Gaona, J Sonia

doi:10.1016/j.jmmm.2020.167140

Cited by 12 publications

(2 citation statements)

References 30 publications

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“…In this paper, we investigate the AF J 1 -J 2 Ising model on the bcc lattice within a cluster mean-field (CMF) approach. This method has been used in several recent studies of phase diagrams and thermodynamic quantities of frustrated spin models [5,6,[11][12][13][14][15][16][17][18][19][20][21][22][23][24]. In particular, this framework provided a description of phase transitions for J 1 -J 2 spin models on square [11,23] and honeycomb [6] lattices in very good agreement with recent Monte Carlo results.…”

Section: Introductionsupporting

confidence: 64%

The frustrated Ising model on the body-centered cubic lattice

Schmidt,

Kohlrausch,

Zimmer

2021

Preprint

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Recent results for the Ising model with first (J1) and second (J2) neighbour interactions on the body-centered cubic (bcc) lattice suggest that this model can host signatures of strong frustration, including Schottky anomalies and residual entropy, as well as, a spin-liquid-like phase [E. Jurčišinová and M. Jurčišin, Phys. Rev. B, 101 214443 (2020)]. Motivated by these findings, we investigate phase transitions and thermodynamics of this model using a cluster mean-field approach. In this lattice, tuning g = J2/J1 leads to a ground-state transition between antiferromagnetic (AF) and superantiferromagnetic (SAF) phases at the frustration maximum g = 2/3. Although the ordering temperature is reduced as g → 2/3, our findings suggest the absence of any Schottky anomaly and residual entropy, in good agreement with Monte Carlo simulations. We also find a direct transition between AF and SAF phases, ruling out the presence of the spin-liquid-like state. Furthermore, the cluster mean-field outcomes support a scenario with only continuous phase transitions between the paramagnetic state and the low-temperature long-range orders. Therefore, our results indicate the absence of strong frustration effects in the thermodynamics and in the nature of phase transitions, which can be ascribed to the higher dimensionality of the bcc lattice.

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Section: Introductionsupporting

confidence: 64%

The frustrated Ising model on the body-centered cubic lattice

Schmidt,

Kohlrausch,

Zimmer

2021

Preprint

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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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Thermodynamic Properties and Magnetocaloric Effect of a Diluted Kekulene-Like Structure with Defects

Diao

Wang

et al. 2022

J Supercond Nov Magn

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Magnetocaloric effect in the J1–J2 transverse Ising model

Cited by 12 publications

References 30 publications

The frustrated Ising model on the body-centered cubic lattice

The frustrated Ising model on the body-centered cubic lattice

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

Thermodynamic Properties and Magnetocaloric Effect of a Diluted Kekulene-Like Structure with Defects

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