The Blume-Emery-Griffiths model on a Bethe lattice: bicritical line and re-entrant behaviour

Abstract

The authors analyse the global phase diagram of the Blume-Emery-Griffiths model on a Bethe lattice. As a function of coordination, they describe the main features of a staggered quadrupolar phase, and discuss the re-entrant character of some multicritical lines and phase boundaries. In the limit of infinite coordination, they regain the results of a two-sublattice mean-field calculation.