Critical and compensation temperatures of the Ising bilayer system consisting of spin-1/2 and spin-1 atoms

Albayrak E. , Bulut T. , Yilmaz S.

JOURNAL OF STATISTICAL PHYSICS, cilt.127, sa.5, ss.967-983, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 127 Konu: 5
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10955-007-9311-3
  • Sayfa Sayıları: ss.967-983


The critical and compensation temperatures of the bilayer Bethe lattices with one of the layers having only spin-1/2 atoms and the other having only spin-1 atoms placed symmetrically are studied by using exact recursion relations in a pairwise approach. The Hamiltonian of the model consist of the bilinear intralayer coupling constants of the two layers J (1) and J (2) for the interactions of the atoms in layers with spin-1/2 and spin-1, respectively, and the bilinear interlayer coupling constant J (3) between the adjacent atoms with spin-1/2 and spin-1 of the layers. After obtaining the ground state phase diagram with J (1) > 0, the variations of the order-parameters and the free energy are investigated to obtain the phase diagram of the model by considering only the ferromagnetic ordering of the layers, i.e. J (1) > 0 and J (2) > 0, and ferromagnetic or antiferromagnetic ordering of the adjacent spins of the layers, J (3) > 0 or J (3) < 0, respectively. It was found that the system presents both second- and first-order phase transitions and, tricritical points. The compensation temperatures was also observed for the appropriate values of the system parameters.