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The spin-(1,12,1) sandwiched trilayer Bethe lattices

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  • Albayrak, Erhan
  • Aker, Aynur

Abstract

The Ising model for the spin-(1,12,1) sandwiched trilayer Bethe lattices is investigated in terms of the recursion relations with either ferromagnetic (FM) or antiferromagnetic (AFM) type of bilinear interactions between the nearest-neighbor (NN) spins. In addition to the ground-state (GS) phase diagrams, the thermal variations of the order-parameters, spin–spin correlation functions and free energies are studied; therefore, different topological temperature-dependent phase diagrams are obtained. It was found that the system exhibits second- and first-order phase transitions. The bicritical, critical end and multicritical points, and the stable and unstable tricritical points are observed in addition to the reentrant behavior for the coordination numbers q=3, 4 and 6.

Suggested Citation

  • Albayrak, Erhan & Aker, Aynur, 2010. "The spin-(1,12,1) sandwiched trilayer Bethe lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5677-5688.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:24:p:5677-5688
    DOI: 10.1016/j.physa.2010.08.044
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