Magnetic properties of the bond and crystal field dilution spin-3/2 Blume–Capel model in an external magnetic field

Xing, Lingyi; Su, Yan

doi:10.1016/j.jmmm.2012.04.038

Cited by 9 publications

(3 citation statements)

References 26 publications

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“…Quenched disorder effects, which is another important topic is widely worked out for the S − 3/2 Ising model. Effect of the discrete random longitudinal field distribution (bimodal distribution) [54][55][56][57][58] and random crystal field distribution [59][60][61], random bond distribution [62][63][64], bond dilution [65], site dilution [66,67] problems have been worked out. Note that, EFT has been used in most of these quenched disorder works.…”

Section: Introductionmentioning

confidence: 99%

On the hysteresis behaviors of the higher spin Ising model

Akıncı

2017

Physica A: Statistical Mechanics and its Applications

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Hysteresis characteristics of the general Spin-S (S > 1) Blume-Capel model have been studied within the effective field approximation. Particular emphasis has been paid on the large negative valued crystal field region and it has been demonstrated for this region that, Spin-S Blume-Capel model has 2S windowed hysteresis loop in low temperatures. Some interesting results have been obtained such as nested characteristics of the hysteresis loops of successive spin-S Blume-Capel model. Effect of the rising crystal field and temperature on these hysteresis behaviors have been investigated in detail and physical mechanisms have been given. IntroductionHigher spin Ising model (S > 1) is very important for understanding of the real magnetic materials. Althought S − 1/2 problems are the most widely studied in the literature on the theoretical side, it is a well known fact that S − 1/2 systems are highly idealized systems. For instance none of the known ferromagnetic/antiferromagnetic atom in the periodic table has 1/2. When the atoms brought together in a solid, different spin values emerge due to the overlapping of the atomic orbitals of the constituent atoms. Indeed, there are numerous molecules that have very high spins in the ground state, for instance S − 6 [1], S − 8, S − 10 [2]. Besides, the most of the magnetic materials are represented by higher spin systems. For instance bimetalic Prussian blue analogs. Altought it is very important to investigate higher spin systems, there is a downward trend with the rising spin value in the theoretical literature. This is due to the fact that, rising computational time for simulations and rising mathematical difficulties for approximation schemes for greater spin values.Ising model including the crystal field or the single-ion anisotropy was introduced as a S − 1 Blume -Capel (BC) model [4,5]. Later on, it was generalized to the higher spin problems and solved within the mean field approximation (MFA) [6]. Some variants of the model exist such as spin-S model with biquadrartic exchange interaction and it was solved within the cluster variation method [7,8]. Also, transverse Ising model with higher spin has been solved within the effective field theory (EFT) [9][10][11]. Quenched disorder effects such as site dilution has been also investigated for spin -S BC model with EFT [12,13] and random crystal field problem within the pair approximation [14]. Some other techniques such as Monte Carlo (MC) simulation exist for the higher spin BC model [15]. This short literature was for the general spin-S models. If we look at the specific spin valued BC model, we see downward trend with rising spin values.

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Section: Introductionmentioning

confidence: 99%

On the hysteresis behaviors of the higher spin Ising model

Akıncı

2017

Physica A: Statistical Mechanics and its Applications

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“…We again expand terms on the right-hand side of Eqs. ( 18) and (19) as in the first approximation, then by using the decoupling approximation one can obtain the numerically calculable order-parameter equations. All details of this approximation can be found in Ref.…”

Section: Eft Based On the Approximated Van Der Waerden Identitymentioning

confidence: 99%

“…[18] The second work studied the magnetic properties of the bond and CF dilution for the spin-3/2 BC model in an external magnetic field. [19] The third work used the Migdal-Kadanoff renormalization group technique to study the spin-3/2 BC model under an RCF, in the two-and threedimensional cases and it was found that the randomness removes completely the first order transition between the two ferromagnetic phases presented. [20] The fourth one studied the diluted and symmetric random crystal field in the pair approximation based on Bogoliubov inequality for the free energy and the global phase diagrams were obtained in the temperature versus crystal field plane for the whole range of concentration in the diluted model.…”

Section: Introductionmentioning

confidence: 99%

Phase diagrams of spin-3/2 Ising model in the presence of random crystal field within the effective field theory based on two approximations

Yigit¹,

Albayrak²

2013

Chinese Phys. B

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The bimodal random crystal field (Δ) effects are investigated on the phase diagrams of spin-3/2 Ising model by using the effective-field theory with correlations based on two approximations: the general van der Waerden identity and the approximated van der Waerden identity. In our approach, the crystal field is either turned on or turned off randomly for a given probability p or q = 1 - p, respectively. Then the phase diagrams are constructed on the (Δ,kT/J) and (p,kT/J) planes for given p and Δ, respectively, when the coordination number is z = 3. Furthermore, the effect of randomization of the crystal field is illustrated on the (Δ,kT/J) plane for p = 0.5 when z = 3,4, and 6. All these are carried out for both approximations and then the results are compared to point out the differences. In addition to the lines of second-order phase transitions, the model also exhibits first-order phase transitions and the lines of which terminate at the isolated critical points for high p values.

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Dynamic Magnetic Properties of the Spin-3/2 Ising Model on a Cylindrical Nanowire in an Oscillating Magnetic Field

Kantar

Keskín

2016

J Supercond Nov Magn

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Magnetic properties of the bond and crystal field dilution spin-3/2 Blume–Capel model in an external magnetic field

Cited by 9 publications

References 26 publications

On the hysteresis behaviors of the higher spin Ising model

On the hysteresis behaviors of the higher spin Ising model

Phase diagrams of spin-3/2 Ising model in the presence of random crystal field within the effective field theory based on two approximations

Dynamic Magnetic Properties of the Spin-3/2 Ising Model on a Cylindrical Nanowire in an Oscillating Magnetic Field

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