Thermodynamic properties of magnetic bilayers

Kapor, D.; Pantić, M.; Manojlovic, Marko; Škrinjar, M. J.; Stojanović, S.; Pavkov, M.

doi:10.1016/j.jpcs.2005.10.176

Cited by 7 publications

(5 citation statements)

References 16 publications

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“…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%

“…Until now, numerous works have concentrated mainly on the bilayer Ising ferromagnets [1, 3-5, 8, 10, 11]. 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.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 99%

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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“…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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“…The studies included also other underlying planar lattices [17], especially the Bethe lattice [18][19][20][21]. Some works covered the interesting case of the spins larger that 1/2 [9,22,23], as well as the spins different in both magnetic planes [24][25][26]. The considerations have been extended to include dilution [27,28], amorphous structure [29,30], and the case of unequal coupling strengths in each magnetic plane [31].…”

Section: Introductionmentioning

confidence: 99%

Critical temperature studies of the anisotropic bilayer and multilayer Heisenberg ferromagnets in Pair Approximation

Szałowski

Balcerzak

2012

Physica A: Statistical Mechanics and its Applications

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The Pair Approximation method is applied to studies of the bilayer and multilayer magnetic systems with simple cubic structure. The method allows to take into account quantum effects related with non-Ising couplings. The paper adopts the anisotropic Heisenberg model for spin S = 1/2 and considers the phase transition temperatures as a function of the exchange integrals strength in line with the role of intra-and interplanar anisotropic interactions in the onset of low-dimensional magnetism. The compensation effect for the Curie temperature is found for asymmetric interactions within the neighbouring planes of the bilayer system. The paper predicts the saturation of the Curie temperature for strong interplanar interactions. However, such an effect for the multilayer system occurs only when the interplanar interactions are of purely isotropic character. Figure 1: (a) A schematic view of the bilayer composed of two layers, A and B. The intraplanar couplings are J AA x = J AA y = J AA ⊥ , J AA z and J BB x = J BB y = J BB ⊥ , J BB z , respectively. The interplanar coupling is J AB x = J AB y = J AB ⊥ , J AB z . (b) A schematic view of a multilayer, containing an infinite number of subsequent layers A and B.visible in Fig. 8 (b) this reduction of T c becomes less pronounced for the increasing coupling in the B plane. On the other hand, when J BB z is comparable with J AA z the behaviour of the critical temperature follows the trend presented in the Fig. 8(a). It is particularly interesting that at some value of J BB z /J AA z the critical temperature k B T c /J AA z = 1/2 ln 2 is restored for each curve, even though the disordering Heisenberg interplanar couplings are present. The value of J BB z /J AA z at which the compensation of the opposite influences of J AB ⊥ and J BB z takes place is very weakly sensitive to the strength of interplanar coupling. This is visible in the Fig. 8 (b) as an approximate interception point of all the curves plotted for various values of J AB z /J AA z . The insensitivity of the coupling ratio J BB z /J AA z * , for which T c has the constant value (characteristic of an uncoupled bilayer system), on the interplanar interaction is further illustrated in the Fig. 9. There, the values of J BB z /J AA z * are plotted as a function of the interplanar coupling J AB z /J AA z strength. The plot is prepared not only for isotropic

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Thermodynamic properties of magnetic bilayers

Cited by 7 publications

References 16 publications

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

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

Critical temperature studies of the anisotropic bilayer and multilayer Heisenberg ferromagnets in Pair Approximation

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