The Phase Diagrams of Spin-1/2 Ising Model on a Two-Layer Bethe Lattice with AFM/AFM Interactions

• Authors: E. Albayrak , A. Yigit
• Languages of publication: EN

Abstracts

EN

The phase diagrams of spin-1/2 Ising model on a two-layer Bethe lattice with antiferromagnetic interactions for each layer and either antiferromagnetic or ferromagnetic interaction between the layers are investigated by using the pairwise approach for given values of coordination number q. The exact expressions of the order-parameters, response functions and free energy are obtained in terms of the recursion relations. The ground-state phase diagrams are calculated for given system parameters of the model. In the guidance of the ground-state phase diagrams, the temperature dependent phase diagrams of the model are also studied in detail for given coordination numbers q = 3, 4 and 6. It was found that the system presents only second-order phase transitions with different thermal behaviors for all values of q. In addition, two Néel temperatures, T_{N}, are found for q = 6 only.

Keywords

EN

05.50.+q; 68.35.Rh; 64.60.Cn

Discipline

• 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)
• 68.35.Rh: Phase transitions and critical phenomena
• 64.60.Cn: Order-disorder transformations(see also 81.30.Hd Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder in materials science; for effects of disorder on superconducting transition temperature, see 74.62.En)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 2
• Pages: 127-134

Dates

published

2009-08

received

2008-11-18

(unknown)

2009-05-14

Contributors

author

E. Albayrak

• Department of Physics, Erciyes University, 38039 Kayseri, Turkey

author

A. Yigit

• Department of Physics, Erciyes University, 38039 Kayseri, Turkey

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Identifiers

DOI

10.12693/APhysPolA.116.127