Phase diagrams of the mixed ferro-ferrimagnetic ternary alloy with a single-ion anisotropy

Bobák, A.; Abubrig, Fathi; Balcerzak, T.

doi:10.1016/j.jmmm.2003.12.352

Cited by 11 publications

(4 citation statements)

References 4 publications

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“…For instance, the early mean-field results for the spin-S Blume-Capel [46][47][48][49][50][51][52][53] and Blume-Emery-Griffiths [54][55][56][57][58][59] models predicted a variety of multicritical phenomena including tricritical points, isolated critical points, critical end points, bicritical points, triple points and tetracritical points in addition to the usual critical points. It is worthy to notice, moreover, that an intriguing multicritical behavior have been later found using the mean-field calculations also in various mixed-spin Ising models with the uniaxial crystal-field anisotropy [60][61][62][63][64][65][66][67][68][69][70][71]. All aforementioned mean-field results were derived for the Ising-like spin systems, which represent plausible models for magnetic materials with a regular crystal structure.…”

Section: Historical Survey and Future Perspectivesmentioning

confidence: 89%

A brief account of the Ising and Ising-like models: Mean-field, effective-field and exact results

Strecka,

Jascur

2015

Preprint

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The present article provides a tutorial review on how to treat the Ising and Ising-like models within the mean-field, effective-field and exact methods. The mean-field approach is illustrated on four particular examples of the lattice-statistical models: the spin-1/2 Ising model in a longitudinal field, the spin-1 Blume-Capel model in a longitudinal field, the mixed-spin Ising model in a longitudinal field and the spin-S Ising model in a transverse field. The meanfield solutions of the spin-1 Blume-Capel model and the mixed-spin Ising model demonstrate a change of continuous phase transitions to discontinuous ones at a tricritical point. A continuous quantum phase transition of the spin-S Ising model driven by a transverse magnetic field is also explored within the mean-field method. The effective-field theory is elaborated within a single-and two-spin cluster approach in order to demonstrate an efficiency of this approximate method, which affords superior approximate results with respect to the mean-field results. The long-standing problem of this method concerned with a self-consistent determination of the free energy is also addressed in detail. More specifically, the effective-field theory is adapted for the spin-1/2 Ising model in a longitudinal field, the spin-S Blume-Capel model in a longitudinal field and the spin-1/2 Ising model in a transverse field. The particular attention is paid to a comprehensive analysis of tricritical point, continuous and discontinuous phase transitions of the spin-S Blume-Capel model. Exact results for the spin-1/2 Ising chain, spin-1 Blume-Capel chain and mixed-spin Ising chain in a longitudinal field are obtained using the transfer-matrix method, the crucial steps of which are also reviewed when deriving the exact solution of the spin-1/2 Ising model on a square lattice. The critical points of the spin-1/2 Ising model on several planar (square, honeycomb, triangular, kagomé, decorated honeycomb, etc.) lattices are rigorously obtained with the help of dual, star-triangle and decoration-iteration transformations. The mapping transformation technique [Continued on next page]

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Section: Historical Survey and Future Perspectivesmentioning

confidence: 89%

A brief account of the Ising and Ising-like models: Mean-field, effective-field and exact results

Strecka,

Jascur

2015

Preprint

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“…For example, the magnetic properties of a mixed ferro-ferrimagnetic ternary alloy of the type AB p C 1Àp consisting of three different metal ions with Ising spins 1 [32], and 0, 1 2 , 3 2 [33] have been investigated, theoretically. These studies were done within the effective-field theory (EFT) [20,22,27], the Monte Carlo (MC) simulation [28,32], the mean-field theory (MFT) based on Bogoliubov inequality for the Gibbs free energy [21,24,29] and the MFT [23,25,26,30,31,33]. The ground-state phase diagrams of the AB p C 1Àp ternary alloy consisting of Ising spins 3 2 , 1, and 5 2 in the presence of single-ion anisotropy have also been constructed [34].…”

Section: Introductionmentioning

confidence: 99%

Magnetic properties of the mixed ferrimagnetic ternary system with a single-ion anisotropy on the Bethe lattice

Deviren

Canko

Keskín

2009

Journal of Magnetism and Magnetic Materials

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“…On the theoretical side, magnetic properties of ternary Prussian blue analogs of the type 1− are investigated by several methods such as mean field theory (MFT) [15,16,17,18,19,20,21,22], effective field theory (EFT) [23,24,25], Bethe lattice approximation [26,27], Green's function technique [28], Monte Carlo (MC) simulation method [29,30,31,32,33,34,35,36]. In these studies, in accordance with real mixed ferro-ferrimagnets which comprised of Prussian blue analogs [2], the ternary alloy is considered to be composed of two sublattices.…”

Section: Introductionmentioning

confidence: 99%

Hysteresis properties of a mixed ferromagnetic-ferrimagnetic ternary alloy

Vatansever¹

2018

Academic Platform Journal of Engineering and Science

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In this work, we have investigated the hysteresis properties of a mixed ferro-ferrimagnetic ternary alloy system by Monte Carlo simulation method. The ternary alloy system contains two interpenetrating sublattices. One of the sublattice consists of type-A magnetic components with spin-3/2 while the other one is randomly occupied type-B and type-C magnetic components with spin-1 and spin-5/2, respectively. We consider both ferromagnetic and antiferromagnetic exchange interactions between nearest-neighbor magnetic components. The influences of the exchange interaction ratio, R, and the concentration value of type-B magnetic ions, p, on the remanent magnetization, coercivity and hysteresis loops of the system have been investigated in detail. It has been demonstrated that it is possible to modify the remanent magnetization, coercivity and also the saturation magnetization of the system by changing the concentration value and exchange interaction ratio.

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Phase diagrams of the mixed ferro-ferrimagnetic ternary alloy with a single-ion anisotropy

Cited by 11 publications

References 4 publications

A brief account of the Ising and Ising-like models: Mean-field, effective-field and exact results

A brief account of the Ising and Ising-like models: Mean-field, effective-field and exact results

Magnetic properties of the mixed ferrimagnetic ternary system with a single-ion anisotropy on the Bethe lattice

Hysteresis properties of a mixed ferromagnetic-ferrimagnetic ternary alloy

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