Mixed spin-3/2 and spin-5/2 Ising system on the Bethe lattice

Albayrak, Erhan; Yigit, Ali

doi:10.1016/j.physleta.2005.12.077

Cited by 59 publications

(28 citation statements)

References 16 publications

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“…So, the magnetization curves have exhibited some characteristics; that is, it has been shown that the mixed-spin ferrimagnetic system, which is considered, may exhibit an outstanding feature (many compensation points). Thus, one can compare our results with these of a mixed spin-1 and spin-3/2 system [3] and mixed spin-3/2 and spin-5/2 on the basis of the Bethe lattice [13], in which the mixed-spin model shows one or two compensation temperatures depending on the values of the crystal fields, respectively. It is worth the noting that our model may exhibit three compensation points.…”

Section: Discussionmentioning

confidence: 86%

The Possibility of Many Compensation Points in a Mixed-Spin Ising Ferrimagnetic System

Mohamad

2013

ISRN Condensed Matter Physics

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The magnetic properties of a ferrimagnetic mixed spin-3/2 and spin-5/2 Ising model with different anisotropies are investigated by using the mean-field approximation (MFA). In particular, the effect of magnetic anisotropies on the compensation phenomenon, acting on A-atoms and B-ones for the mixed-spin model, has been considered in a zero field. The free energy of a mixed-spin Ising ferrimagnetic system from MFA of the Hamiltonian is calculated. By minimizing the free energy, we obtain the equilibrium magnetizations and the compensation points. The phase diagram of the system in the anisotropy dependence of transition temperature has been discussed as well. Our results of this model predict the existence of many (two or three) compensation points in the ordered system on a simple cubic lattice.

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Section: Discussionmentioning

confidence: 86%

The Possibility of Many Compensation Points in a Mixed-Spin Ising Ferrimagnetic System

Mohamad

2013

ISRN Condensed Matter Physics

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“…From the two Figs. (1,2), we find that the first-order phase transition lines never connect to those of second-order phase transition [15,16] …”

Section: Resultsmentioning

confidence: 96%

Ferrimagnetism in the Mean-Field Approximation of the Mixed Spin-3/2 and Spin-5/2 Ising System

Mohamad

2015

ILCPA

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Using the Mean-field theory based on Bogoliubov inequality for the free energy, a ferrimagnetic mixed spin-3/2 and spin-5/2 Ising model with different anisotropies is investigated. The free energy of a mixed spin Ising ferrimagnetic system from MF approximation of the Hamiltonian is calculated. By minimizing the free energy, we obtain the equilibrium magnetizations and compensation points. In particular, we investigate the effect of a single-ion anisotropy on the magnetic properties including the compensation phenomenon, in order to clarify the characteristic behaviours in a series of molecular- . The phase diagram of the system is also discussed in the anisotropy dependence of transition temperature. Our results of this model predict the existence of many(two or three) compensation points in the ordered system on a simple cubic lattice. 1.Introduction:Recently, Several theoretical investigations have been reported concerning the extension of efforts to a mixed spin Ising model with one constituent having spin-1 and another having spin-3/2. The magnetic properties of this system have been discovered experimentally in (Ni , which is prepared by the addition of manganese) triflate to aqueous solutions of the hexacyanovanadate(The theoretical work may be classified into two types . In the first type, the spin compensation temperature of the system( k T ) can be obtained by requiring the total magnetization as being equal to zero for various values of anisotropies; though the reduced magnetization of the sublattices forming the system are not equal to zero [2,3,5,6,7]. In the second class of work, the first and second order phase transitions demand Landau expansion of the free energy in the order parameter [2,5,8,9]. In this correspondence we are concerned to work on both classes. The purpose of this work is to investigate a mixed-spin Ising model, consisting of spin-3/2 and spin-5/2. We firstly determine the ground-state phase diagram and study sublattice magnetizations of the mixed spin ferrimagnetic Ising system with various values of the anisotropies on the basis of the mean-field theory. A Landau expression of the free energy in the order parameter is demanded in this respect. It has briefly been presented the basic framework of the theory based on the Bogoliubov inequality for the free energy. The phase diagrams and sublattice magnetizations for various values of the single-ion anisotropies acting on both atoms have been discussed .

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“…The magnetic properties of these systems are studied by using different method, such as mean field theory (MFT), effective field theory (EFT), Monte Carlo (MC) simulations etc. (see [4][5][6][7][8][9][10][11][12][13] and references therein). Up until now, few people have ever touched upon a mixed Ising model with both spin-integer ions, namely the mixed spin-1 and spin-2 Ising system [14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Hysteresis and Compensation Behaviors of Mixed Spin-1 and Spin-2 Hexagonal Ising Nanowire System

Ertaş

2016

J Supercond Nov Magn

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By utilizing the framework of the effective-field theory with correlation, hysteresis and compensation behaviors of mixed spin-1 and spin-2 hexagonal Ising nanowire system is investigated in detail. The effects of Hamiltonian parameters on hysteresis behaviors are discussed, in detail. The compensation behavior of the system is also studied and according to values of Hamiltonian parameters, the Q-, S-, R-and N-type compensation behaviors is obtained in the system. Finally, the obtaining results are compared with some experimental and theoretical results and found in a qualitatively good agreement.

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Mixed spin-3/2 and spin-5/2 Ising system on the Bethe lattice

Cited by 59 publications

References 16 publications

The Possibility of Many Compensation Points in a Mixed-Spin Ising Ferrimagnetic System

The Possibility of Many Compensation Points in a Mixed-Spin Ising Ferrimagnetic System

Ferrimagnetism in the Mean-Field Approximation of the Mixed Spin-3/2 and Spin-5/2 Ising System

Hysteresis and Compensation Behaviors of Mixed Spin-1 and Spin-2 Hexagonal Ising Nanowire System

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