Abstract:We use exact recursion relations to study the magnetic properties of the half-integer mixed spin-5/2 and spin-3/2 Blume-Capel Ising ferromagnetic system on the two-fold Cayley tree that consists of two sublattices A and B. Two positive crystal-field interactions ∆ 1 and ∆ 2 are considered for the sublattice with spin-5/2 and spin-3/2 respectively.
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