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Abubrig, O.F.; Bobák, A.; Horváth, Denis; Jaščur, M.

doi:10.1023/a:1014430620402

Cited by 11 publications

(5 citation statements)

References 8 publications

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“…Quantum effects introduced into the Ising spin systems either by the transverse magnetic field or the transverse crystal field represent another challenging topic to account for within the framework of the mean-field treatment. The effect of transverse magnetic field on a magnetic behavior of the Ising models has been thoroughly investigated for example in the mixed-spin systems [98][99][100], ternary alloy [101] and thin films [102][103][104][105][106][107]. A lot of the mean-field calculations has been carried out for the transverse Ising models, which take into consideration a random character of the transverse magnetic field [108,109], the multispin interactions [110,111], the longitudinal magnetic field [112], the longitudinal [113,114] or transverse [115] crystal field.…”

Section: Historical Survey and Future Perspectivesmentioning

confidence: 99%

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: 99%

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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“…13), respectively. This may be very important from the materials science point of view, for obtaining the compensation temperature in the vicinity of room temperature [16].…”

Section: Resultsmentioning

confidence: 99%

“…It is interesting that the ferrimagnetic case shows that the signs of sublattice magnetizations are different, and there may be a compensation point at which the total magnetization per site [10,12,16], that is,…”

Section: Formulation Of the Modelmentioning

confidence: 99%

Spin compensation temperatures induced by longitudinal fields in a mixed spin-3/2 and spin-5/2 Ising ferrimagnet

Mohamad¹

2011

Journal of Magnetism and Magnetic Materials

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“…p p 1-As far as spin sizes are concerned, the equilibrium features of the mixed-spin ternary alloy system built of a great variety of combinations of the spin magnitudes have been investigated using Green's functions, Bethe approximation, Monte Carlo simulations, effective field theory, mean field theory, among others (see [6][7][8][9][10][11] and therein).…”

Section: Ab Cmentioning

confidence: 99%

Dynamic hysteresis curves in a mixed spin ternary alloy system under the time-dependent magnetic field

Ertaş,

Batı

2023

Phys. Scr.

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The dynamic hysteresis features in mixed spins-(1/2,3/2,5/2) ternary alloy system with formula AB_p 〖C 〗_((1-p)) was examined through Glauber-type stochastic dynamic and mean-field theory. The system includes two interpenetrating lattices, one has spin-1/2 components, while the other includes a random distribution of spin-3/2 and spin-5/2 compounds. The effect of Hamiltonian parameters on the dynamic hysteresis behavior was investigated in detail and observed that the physical characteristics have a significant impact on the shape and quantity of hysteresis loops. We compared our findings with other theoretical and experimental investigations; a high level of agreement is obtained.

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Untitled

Cited by 11 publications

References 8 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

Spin compensation temperatures induced by longitudinal fields in a mixed spin-3/2 and spin-5/2 Ising ferrimagnet

Dynamic hysteresis curves in a mixed spin ternary alloy system under the time-dependent magnetic field

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