Abstract
The critical behaviour of the Blume Emery Griffiths (BEG) spin 1 Ising model on a diamond lattice is studied within the framework of a finite cluster theory. An expansion technique for the cluster identities that allows the kinematic properties of the spin operators to be accounted for in a systematic way is employed. The location of the tri-critical points in temperature versus single-ion anisotropy phase space is determined for a range of biquadratic exchange interaction strengths.
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