Magnetic properties of the Blume-Emery-Griffiths model in the vicinity of an antiferromagnetic Potts line

Abstract

The Blume-Emery-Griffiths model is studied for the range of parameters in a close neighborhood of the antiferromagnetic three-state Potts model. The cluster variational method in pair approximation is adopted for the studies. Particular attention is paid to the properties of ferrimagnetic and staggered quadrupolar phases which occur on a bipartite lattice. In particular, the isothermal susceptibility is calculated, revealing its splitting into two branches, each with different temperature behavior. The reentrant ferrimagnetism phenomenon is also discussed.