+/- J model on the Bethe lattice with crystal field interaction

Albayrak E.

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, cilt.355, ss.18-21, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 355
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.jmmm.2013.11.046
  • Sayfa Sayısı: ss.18-21


+/- J model was exploited on the Bethe lattice for the spin-1 Blume-Capel model. Either ferromagnetic (J > 0) or antiferromagnetic (J < 0) interactions are assumed between the nearest-neighbor (NN) spins on the Bethe lattice for given probabilities p or 1 - p, respectively. The phase diagrams of the model were calculated exactly on the temperature (T)-probability (p) or crystal field (D) planes for given coordination numbers q = 3, 4 and 6. In addition to the first- and second-order phase transitions, another kind phase transition with zero magnetization and quadrupolar order-parameter presenting a jump was obtained above the second-order phase transition temperature which seems to be indicating the spin glass phase. When the lines of these three phases combine is a multicritical point and the first two combine is a tricritical point. In the (T,p) planes, the lower critical dimensions (the value of q) of obtaining any phase transition increase with increasing negative D values. (C) 2013 Elsevier B.V. All rights reserved,Spin-1 Bethe lattice Bilinear interaction Blume-Capel Spin glass