Critical and Compensation Temperatures of the Ising Bilayer System Consisting of Spin-1/2 and Spin-1 Atoms

Albayrak, Erhan; Bulut, T.; Yılmaz, Sait

doi:10.1007/s10955-007-9311-3

Cited by 7 publications

(3 citation statements)

References 42 publications

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“…The exact solution of the system was studied on different lattices, such as the honeycomb lattice, bathroom-tile or diced lattices, Bethe lattice, two-fold Cayley tree, etc. (see [32][33][34][35][36][37][38][39][40][41] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model in an oscillating magnetic field

Ertaş

Keskín

2015

Physica B: Condensed Matter

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a b s t r a c tHerein we study the dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model on a square lattice under a time-dependent magnetic field by means of the effective-field theory (EFT) with correlations based on Glauber dynamics. We present the dynamic phase diagrams in the reduced magnetic field amplitude and reduced temperature plane and find that the phase diagrams exhibit dynamic tricitical behavior, multicritical and zero-temperature critical points as well as reentrant behavior.We also investigate the influence of frequency (ω) and observe that for small values of ω the mixed phase disappears, but for high values it appears and the system displays reentrant behavior as well as a critical end point.

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Section: Introductionmentioning

confidence: 99%

Dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model in an oscillating magnetic field

Ertaş

Keskín

2015

Physica B: Condensed Matter

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“…Among such systems, the bilayer Ising model on the square lattice has attracted considerable interest [9][10][11][12][13][14][15][16]. 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].…”

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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“…The equilibrium properties of the mixed spin-(1/2, 1) Ising and its exact solution on different lattices have been studied in detail (see Refs. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and references therein). It should be pointed out that the exact solution of mixed spin (1/2, 1) Ising model is studied in detail on a honeycomb and diced lattices [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Dynamic phase diagrams of a ferrimagnetic mixed spin (1/2, 1) Ising system within the path probability method

Ertaş

Keskín

2015

Physica A: Statistical Mechanics and its Applications

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Critical and Compensation Temperatures of the Ising Bilayer System Consisting of Spin-1/2 and Spin-1 Atoms

Cited by 7 publications

References 42 publications

Dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model in an oscillating magnetic field

Dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model in an oscillating magnetic field

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

Dynamic phase diagrams of a ferrimagnetic mixed spin (1/2, 1) Ising system within the path probability method

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