JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM, vol.29, no.10, pp.2535-2541, 2016 (SCI-Expanded)
The spin-1 model is studied on the Bethe lattice by including the bilinear J and biquadratic K exchange interactions into the Hamiltonian. The effects of J is randomized by using a bimodal random distribution with an adjustable parameter a which allows to study the cases of +/- J-model and bond-dilution. The thermal variations of the order-parameters are studied to obtain the possible phase diagrams of the model. It is found that second-order phase transitions lines separate the ordered-phases, ferromagnetic, or antiferromagnetic, from the disordered one, i.e., the paramagnetic phase. The staggered quadrupolar phase lines are also found and only seen for higher negative K values for coordination number q = 4 and 6, only. The reentrant behavior is also found for some of the phase transitions lines.