Abstract
The antiferromagnetic spin-3/2 Blume–Capel model in an external magnetic field is formulated on the Bethe lattice by means of the exact recursion relations. This allows one to study the critical properties of the model as the properties of the iteration sequence ( x n , y n , z n ) in the limit n→∞. It is shown that the decomposition of the tricritical point into a critical end point and a double critical point for coordination number q=6.
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