±J model on the Bethe lattice with crystal field interaction

Albayrak, Erhan

doi:10.1016/j.jmmm.2013.11.046

Cited by 15 publications

(7 citation statements)

References 15 publications

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“…Figure 1(g) shows the place of spin glass phase transition temperature, see Ref. [9], for which we see that M = 0 but Q presents a jump at T SG . The last one, i.e., figure 1(h), shows that M gives a T c at lower values while Q again makes a jump at the T SG which is only seen for a very small interval of p as will be seen in the phase diagrams.…”

Section: Thermal Variations Of Order-parameters and Phase Diagramsmentioning

confidence: 81%

“…α is an adjustable parameter which adjusts the strength of F interactions with respect to the AF interactions, i.e., α = 1 corresponds to the symmetric case while α = 1.0 is the antisymmetric case. It is clear that when p = 1 (x = 1), the model is just the F BC (AF BC) model, when q = 0 it becomes ±J model [9] and when p = 0 (x = 0) it is the AF (F) bond diluted model. [16] Thus, equation ( 2) can be considered as the most general J i j distribution.…”

Section: Order-parameters and Free Energy In Terms Of Err'smentioning

confidence: 99%

“…1(g) and 1(h), please see also Ref. [9]. The asymmetric case of α = 1.0 will be considered as our next work.…”

Section: -4mentioning

confidence: 99%

“…The model is simulated on the Bethe lattice (BL) and exact recursion relations (ERR) are employed to calculate the order-parameters and free energy of the model. [9][10][11] The thermal variations of the order-parameter and free energy are studied numerically to obtain the phase diagrams on the possible planes spanned by our thermodynamic system parameters. It is found that our model presents either one of the phases F, AF, SG, and P depending on the values of system parameters.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic phase diagrams of Fe–Mn–Al alloy on the Bethe lattice

Albayrak¹

2017

Chinese Phys. B

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The magnetic behaviors of the Fe-Mn-Al alloy are simulated on the Bethe lattice by using a trimodal random bilinear exchange interaction (J) distribution in the Blume-Capel (BC) model. Ferromagnetic (J > 0) or antiferromagnetic (J < 0) bonds or dilution of the bonds (J = 0) are assumed between the atoms with some probabilities. It is found that the secondor the first-order phase boundaries separate the ferromagnetic (F), antiferromagnetic (AF), paramagnetic (P), or spin-glass (SG) phases from the possible other one. In addition to the tricritical points, the special points at which the second-and the first-order and the spin-glass phase lines meet are also found. Very rich phase diagrams in agreement with the literature are obtained.

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Section: Thermal Variations Of Order-parameters and Phase Diagramsmentioning

confidence: 81%

Section: Order-parameters and Free Energy In Terms Of Err'smentioning

confidence: 99%

“…1(g) and 1(h), please see also Ref. [9]. The asymmetric case of α = 1.0 will be considered as our next work.…”

Section: -4mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Magnetic phase diagrams of Fe–Mn–Al alloy on the Bethe lattice

Albayrak¹

2017

Chinese Phys. B

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“…Especially J is important in which the bimodal random distribution of ferromagnetic (F) and antiferromagnetic (AF) interactions leads to the spin glass phase, see Ref. [1] and the references therein. The other case of which may include the bond dilution in which J is either turned on or off randomly throughout the lattice.…”

Section: Introductionmentioning

confidence: 99%

Bond Dilution Effects on Bethe Lattice the Spin-1 Blume–Capel Model

Albayrak¹

2017

Commun. Theor. Phys.

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The bond dilution effects are investigated for the spin-1 Blume–Capel model on the Bethe lattice by using the exact recursion relations. The bilinear interaction parameter is either turned on ferromagnetically with probability p or turned off with probability 1 – p between the nearest-neighbor spins. The thermal variations of the order-parameters are studied in detail to obtain the phase diagrams on the possible planes spanned by the temperature (T), probability (p) and crystal field (D) for the coordination numbers q = 3, 4, and 6. The lines of the second-order phase transitions, Tc-lines, combined with the first-order ones, Tt-lines, at the tricritical points (TCP) are always found for any p and q on the (T, D)-planes. It is also found that the model gives only Tc-lines, Tc-lines combined with the Tt-lines at the TCP’s and only Tt-lines with the consecutively decreasing values of D on the (T, p)-planes for all q.

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