Magnetic properties of an Ising ferromagnetic model on a square lattice with next-nearest-neighbor and crystal field interactions

Espriella, N. De La; Arenas, Abraham J.; Meza, Manuel S. Páez

doi:10.1016/j.jmmm.2016.05.090

Cited by 19 publications

(6 citation statements)

References 61 publications

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“…Many interesting results have been observed in the phase transition theory by means of exactly solvable Ising models [3]. Recently, several extensions have been carried out in mixed spin Ising models to describe a wide range of systems [6][7][8]. Because it is the lowest mixed-spin system, the mixed spin-1 and spin-1/2 system is an excellent candidate for studying mixed-spins.…”

Section: Introductionmentioning

confidence: 99%

Phase transition for the Ising model with mixed spins on a Cayley tree

Akın¹,

Mukhamedov²

2022

J. Stat. Mech.

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In the present paper, we consider the Ising model with mixed spin- (1, 1/2) on the second order Cayley tree. For this model, a construction of splitting Gibbs measures is given that allows us to establish the existence of the phase transition (non-uniqueness of Gibbs measures). We point out that, in the phase transition region, the considered model exhibits three translation-invariant Gibbs measures in the ferromagnetic and anti-ferromagnetic regimes, respectively, while the classical Ising model does not possess such Gibbs measures in the anti-ferromagnetic setting. It turns out, that like the classical Ising model, we can find a disordered Gibbs measure, therefore, its non-extremity and extremity are investigated by means of tree-indexed Markov chains.

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Section: Introductionmentioning

confidence: 99%

Phase transition for the Ising model with mixed spins on a Cayley tree

Akın¹,

Mukhamedov²

2022

J. Stat. Mech.

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“…Many interesting results have been observed in the phase transition theory by means of exactly solvable Ising models [1]. Recently, several extension have been carried out in the a mixed spin Ising model to describe a wide range of systems [4,5,6]. Because it is the lowest mixed-spin system, the mixed spin-1 and spin-1/2 system is an excellent candidate for studying mixed-spins.…”

Section: Introductionmentioning

confidence: 99%

Gibbs measures of the Ising model with mixed spin-1 and spin-1/2 on a Cayley tree

Akın¹,

Mukhamedov²

2022

Preprint

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In the present paper, the Ising model with mixed spin-(1,1/2) is considered on the second order Cayley tree. A construction of splitting Gibbs measures corresponding the model is given which allows to establish the existence of the phase transition (non-uniqueness of Gibbs measures). We point out that, in the phase transition region, the considered model has three translation-invariant Gibbs measures in the ferromagnetic and anti-ferromagnetic regimes, while the classical Ising model does not possesses such Gibbs measures in the anti-ferromagnetic regime. It turns out that the considered model, like the Ising model, exhibits a disordered Gibbs measure. Therefore, non-extremity and extremity of such disordered Gibbs measures is investigated by means of tree-indexed Markov chains.

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“…Masrour and co‐workers [ 16–23 ] and Wang et al [ 24 ] investigated magnetic features of the mixed‐spin (2, 5/2) Ising ferromagnetic system on different lattice structures, such as the Bethe lattice, [ 16,17 ] decorated square and triangular lattices, [ 18 ] a dendrimer structure, [ 19 ] two alternative layers on a honeycomb lattice, [ 20 ] Kekulene structure, [ 21,22 ] a decorated square lattice, [ 23 ] and decorated Kagome‐like lattice [ 24 ] by applying the well‐known methods in equilibrium statistical physics and condensed matter physics. De Le Espriella and co‐workers [ 25,26 ] investigated the magnetic behaviors of the model on a square lattice within the MCS. Moreover, the model utilized a study of thermal and magnetic features of the molecular‐based AFe II Fe III (C 2 O 4 ) 3 nanoribbons [ 27 ] and nanographene layer [ 28 ] within the MCS, the magnetic features of Fe 7 S 8 compound by using by the MFA and MCS, [ 29 ] and the dielectric features of BiFeO 3 /YMnO 3 bilayer films within the MCS, [ 30 ] and Fe 3 S 4 component within Ab‐initio calculations and the MCS.…”

Section: Introductionmentioning

confidence: 99%

“…square lattice, [23] and decorated Kagome-like lattice [24] by applying the well-known methods in equilibrium statistical physics and condensed matter physics. De Le Espriella and co-workers [25,26] investigated the magnetic behaviors of the model on a square lattice within the MCS. Moreover, the model utilized a study of thermal and magnetic features of the molecular-based AFe II Fe III (C 2 O 4 ) 3 nanoribbons [27] and nanographene layer [28] within the MCS, the magnetic features of Fe 7 S 8 compound by using by the MFA and MCS, [29] and the dielectric features of BiFeO 3 /YMnO 3 bilayer films within the MCS, [30] and Fe 3 S 4 component within Ab-initio calculations and the MCS.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Magnetic Features of a Mixed‐Spin‐2 and Spin‐5/2 Ising Ferrimagnetic System under a Time‐Dependent Oscillating Magnetic Field: Path Probability Method Approach

Gençaslan

Özlü

Keskín

2022

Physica Status Solidi (b)

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A study, within the path probability method, of the dynamic magnetic features of the mixed spin (2, 5/2) Ising ferrimagnetic system on a hexagonal lattice under the presence of a sinusoidal external magnetic field is presented. The Hamiltonian of the system contains intersublattice, intrasublattice, and crystal‐field interactions. The intersublattice interaction is taken as antiferromagnetic. The time variations of average dynamic magnetizations and the thermal behavior of the dynamic magnetizations are investigated to obtain the phases in the system and to characterize the nature of the dynamic phase transitions and find the dynamic phase transition temperature points. The dynamic phase diagrams in six different phase planes are presented, in which they contain the paramagnetic (p) phase, three different ferrimagnetic (i 1, i 2, i 3) fundamentals, and the p + i 1, i 1 + i 2, and i 2 + i 3 mixed phases as well as the dynamic tricritical point and the dynamic double critical end point, depending on the interaction parameters. The dynamic compensation behavior is also examined and only N‐type behaviors are observed. Some of the obtained dynamic phase diagrams are in qualitatively good agreement within some works on the dynamics of mixed‐spin Ising system.

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Magnetic properties of an Ising ferromagnetic model on a square lattice with next-nearest-neighbor and crystal field interactions

Cited by 19 publications

References 61 publications

Phase transition for the Ising model with mixed spins on a Cayley tree

Phase transition for the Ising model with mixed spins on a Cayley tree

Gibbs measures of the Ising model with mixed spin-1 and spin-1/2 on a Cayley tree

Dynamic Magnetic Features of a Mixed‐Spin‐2 and Spin‐5/2 Ising Ferrimagnetic System under a Time‐Dependent Oscillating Magnetic Field: Path Probability Method Approach

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