Computer Study of a d = 2 Mixed Ising Ferrimagnet

Buendı́a, G. M.; Novotny, M. A.; Zhang, J.

doi:10.1007/978-3-642-79293-9_25

Cited by 10 publications

(6 citation statements)

References 8 publications

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“…Mean-field theory predicts that the J1-D model where Sd1,O and 0=+1/2,spinl-spin112 modelhas a compensation point, but Monte Carlo and transfer matrix results for both, the spin2-spin10 and spinl-spin112 cases, show that there is no compensation point for the J1-D model. For the spinl-spin112 model it was shown that the compensation point appears only when the interaction J4 is included [3]. We are interested to see if this is also the case for the spinZspinlR model presented here.…”

Section: The Modelmentioning

confidence: 73%

Critical Behavior of a Mixed Ising Ferrimagnet

Buendı́a

Novotny

1997

J. Phys. IV France

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The critical behavior of a 2-D mixed ferrirnagnetic spin2-spin112 Ising model has been studied with Monte Carlo and transfer-matrix techniques. This model is relevant for understanding bimetallic molecular ferrimagnetic materials. We calculate the finite temperature phase diagram putting special attention to the location and characterization of compensation points. We found that a compensation temperature appears when the interaction between the next-nearest neighbors spins 112 is included.

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Section: The Modelmentioning

confidence: 73%

Critical Behavior of a Mixed Ising Ferrimagnet

Buendı́a

Novotny

1997

J. Phys. IV France

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“…The 𝑇 c lines become constant for higher positive 𝐷/𝐽 at 𝑘𝑇 /𝐽 ∼ = 1.507, 2.008 and 3.009 for 𝑧 = 3, 4 and 6, respectively. They are higher, for example, when compared with the results of exact recursion relations on the Bethe lattice, [23] mapping, [24] discrete nonlinear map, [25] numerical matrix study [26] and MF renormalization group [27] and so on. The 𝑇 t lines of this work terminate at 𝐷/𝐽 = −1.6832, −2.3200 and −3.3760, which are higher than the expected values of −1.5, −2.0 and −3.0 for 𝑧 = 3, 4 and 6, respectively.…”

Section: -3mentioning

confidence: 99%

The Mixed Spin-1/2 and Spin-1 Ising–Heisenberg Model in the Mean-Field Approximation: a New Approach

Albayrak¹

2018

Chinese Phys. Lett.

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Thermodynamic properties of the mixed spin-1 and spin-1/2 Ising–Heisenberg model are studied on a honeycomb lattice using a new approach in the mean-field approximation to analyze the effects of longitudinal Dz and transverse Dx crystal fields. The phase diagrams are calculated in detail by studying the thermal variations of the order parameters, i.e., magnetizations and quadrupole moments, and compared with the literature to assess the reliability of the new approach. It is found that the model yields both second- and first-order phase transitions, and tricritical points. The compensation behavior of the model is also investigated for the sublattice magnetizations, and longitudinal and transverse quadrupolar moments. The latter type of compensation is observed in the literature but its possible importance is overlooked.

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“…For an infinite system, formed by two interpenetrating sublattices of σ = ± 1 2 and S = ±1, 0 spins, many studies have been performed to describe the appearance of a compensation point. The existence of T comp in this system was already investigated by mean-field theory [21,22], renormalizationgroup calculations [23], Monte-Carlo simulation [24][25][26] and high and low temperatures series [27]. The mean-field calculations show the appearance of a compensation point considering a model with only the nearest-neighbor couplings and a crystal field anisotropy.…”

Section: Introductionmentioning

confidence: 96%

Phase transition and magnetic properties of a bond-diluted mixed spin-1 and spin-\frac{1}{2} Ising model with the uniaxial and biaxial single-ion anisotropy

Belmamoun¹,

Kerouad²

2008

Phys. Scr.

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The effective-field theory with a probability distribution technique that accounts for the self-spin correlation functions is used to study the phase diagrams and magnetic properties of a bond-diluted mixed spin- and spin-1 Ising model with the uniaxial and biaxial single-ion anisotropy on a simple cubic structure. It is found that the phase diagrams of the system can exhibit re-entrant phenomena for certain values of the concentration p and uniaxial and biaxial single-ion anisotropy, D0/J, Dx/J and Dy/J. We have also studied the effect of these parameters on the existence of the tricritical behavior.

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Computer Study of a d = 2 Mixed Ising Ferrimagnet

Cited by 10 publications

References 8 publications

Critical Behavior of a Mixed Ising Ferrimagnet

Critical Behavior of a Mixed Ising Ferrimagnet

The Mixed Spin-1/2 and Spin-1 Ising–Heisenberg Model in the Mean-Field Approximation: a New Approach

Phase transition and magnetic properties of a bond-diluted mixed spin-1 and spin-\frac{1}{2} Ising model with the uniaxial and biaxial single-ion anisotropy

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