We study the statistical mechanics of spin-one Ising models on the Bethe lattice assuming that the spins interact by dipolar and quadrupolar interactions. An exact calculation of the properties of the system is performed on the basis of the general formulation of Morita. An exact expression for...

The continued fraction coherent anomaly method (CAM) is applied to study the criticality of the Blume-Capel model. For comparison, we present also the power series approach with a different way of calculating the critical coefficients. The variation of the Curie temperature Tc with respect to...

In this paper we present a detailed study of the physical properties of a non-Heisenberg spin model described by a Hamiltonian which consists of an usual bilinear coupling with the nearest-neighbour coupling constant J and a three-site interaction measured by a coupling constant L. This study is...