Magnetic properties of the site-diluted spin-1/2 Ising bilayer system

Ainane, A.; Häußler, P.; Htoutou, K.; Saber, M.

doi:10.1016/j.susc.2007.04.089

Cited by 5 publications

(5 citation statements)

References 35 publications

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“…Even the theoretical study of these systems has its difficulties, considering that only a handful of them are exactly solvable [22]; we must therefore resort to approximation methods. For instance, spin-1/2, spin-1 and mixed-spin Ising bilayers have been studied within various approaches, such as the mean-field approximation (MFA) [23][24][25][26], the effective-field approximation (EFA) [27][28][29][30][31][32][33], renormalization group (RG) [24,34,35], transfer matrix (TM) [23,34,36], high-temperature series expansion [26], and Monte Carlo (MC) simulations [24,[37][38][39][40][41]. A cellular automata (CA) simulation method was also employed in the analysis of both spin-1/2 Ising and 3-states Potts model bilayers [42].…”

Section: Introductionmentioning

confidence: 99%

Compensation temperature in spin-1∕2 Ising trilayers: A Monte Carlo study

Diaz

Branco

2020

Physica A: Statistical Mechanics and its Applications

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We study the magnetic and thermodynamic properties of a spin-1/2 Ising system containing three layers, each of which is composed exclusively of one out of two possible types of atoms, A or B. The A-A and B-B bonds are ferromagnetic while the A-B bonds are antiferromagnetic. The study is performed through Monte Carlo simulations using the Wolff algorithm and the data are analyzed with the aid of the multiple-histogram reweighting technique and finite-size scaling tools. We verify the occurrence of a compensation phenomenon and obtain the compensation and critical temperatures of the model as functions of the Hamiltonian parameters. The influence of each parameter on the overall behavior of the system is discussed in detail and we present our results in the form of phase diagrams dividing the parameter space in regions where the compensation phenomenon is present or absent. Our results may provide invaluable information for experimentalists seeking to build materials with desired characteristics. *

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Section: Introductionmentioning

confidence: 99%

Compensation temperature in spin-1∕2 Ising trilayers: A Monte Carlo study

Diaz

Branco

2020

Physica A: Statistical Mechanics and its Applications

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“…Some papers have extended the studies to the interesting case of the spins larger than 1/2 [3,12,26], as well as to different spins in both magnetic planes [2,27,28]. In several works the dilution [2,29], amorphous structure [30,31], and the case of unequal coupling strengths in each magnetic plane [32] have been considered. Moreover, the anisotropic Heisenberg bilayers have been studied, for instance, in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…Magnetic bilayers have attracted considerable attention in recent literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Such systems are interesting both from experimental and theoretical point of view since they bridge the gap between the two-and three-dimensional magnets.…”

Section: Introductionmentioning

confidence: 99%

Ferrimagnetism in the Heisenberg–Ising bilayer with magnetically non-equivalent planes

Balcerzak

Szałowski

2014

Physica A: Statistical Mechanics and its Applications

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The Pair Approximation method is applied to the antiferromagnetic Heisenberg-Ising spin-1/2 bilayer with a simple cubic crystalline structure. The method allows for self-consistent calculations of thermodynamic quantities, based on the determination of Gibbs free-energy. In the paper the phase diagrams and planar magnetizations are calculated for the system in question. Special attention is paid to the case of magnetically non-equivalent planes, one of which is additionally randomly diluted. The occurrence of a compensation phenomenon is found and the compensation temperature is discussed for such a system. The characteristic concentration of magnetic atoms p , below which the compensation phenomenon vanishes, is examined as a function of the Hamiltonian parameters.

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“…Magnetic bilayers have attracted considerable attention in the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] as these systems bridge the gap between the two-and three-dimensional magnets. Studying their properties provides some insight into the cross-over between the behaviours characteristic of various dimensionalities [19,20].…”

Section: Introductionmentioning

confidence: 99%

The influence of interplanar coupling on the entropy and specific heat of the bilayer ferromagnet

Szałowski¹,

Balcerzak²

2013

Thin Solid Films

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The Pair Approximation method is applied to studies of the magnetic Ising-Heisenberg bilayer with simple cubic structure and spin S = 1/2. The method allows to take into account quantum effects related to Heisenberg couplings. In the paper the entropy and magnetic contribution to the specific heat are calculated. A special attention is paid to the case when the planes are magnetically non-equivalent and the interplanar coupling is relatively weak. A double peak structure in the temperature dependence of the specific heat and the entropy change in the external field is found. When the system is strongly anisotropic (the case of Ising couplings) the Exact Calculations for Finite Cluster are performed for comparison with the Pair Approximation method.

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Magnetic properties of the site-diluted spin-1/2 Ising bilayer system

Cited by 5 publications

References 35 publications

Compensation temperature in spin-1∕2 Ising trilayers: A Monte Carlo study

Compensation temperature in spin-1∕2 Ising trilayers: A Monte Carlo study

Ferrimagnetism in the Heisenberg–Ising bilayer with magnetically non-equivalent planes

The influence of interplanar coupling on the entropy and specific heat of the bilayer ferromagnet

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