Abstract
A two-site cluster effective field theory in which all the single site kinematic relations are correctly accounted for is applied to a study of the spin-one Ising ferromagnet with the inclusion of biquadratic exchange and single-ion anisotropy. The theory is developed in detail for the honeycomb lattice and the second-order phase boundary and tricritical points are found for a range of interaction strengths. The results are compared to those of the single-site cluster theory recently reported in the literature as well as to other methods.
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