Critical temperatures for a spin-1 Ising model with dipolar and quadrupolar interactions

Abstract
The critical temperature for an isotropic Blume-Emery-Griffiths model is discussed in a new type of effective-field approximation. The method, which can systematically include correlation effects, is illustrated by applying to a linear, honeycomb, and simple-cubic lattices. The relation between the present method and that very recently proposed by Chakraborty is widely discussed.