The antiferromagnetic spin-3/2 Blume-Capel model on the Bethe lattice using the recursion method

Ising models and their many variations are envountered in different fields of physics and continue to be one of the most actively studied problems in statistical mechanics. The antiferromagnetic spin-3/2 Blume-Capel model on the Bethe lattice in an external magnetic field is investigated and phase diagrams are obtained. Using the recursion method we obtain the plots of magnetization versus external field for different temperatures and construct the resulting phase diagrams. The model exhibits distinct critical regions, including the first-order, second-order and tricritical point.