Mixed spin-3/2 and spin-5/2 Ising system on the Bethe lattice

In order to study the critical behaviors of the half-integer mixed spin-3/2 and spin-5/2 Blume–Capel Ising ferrimagnetic system, we have used the exact recursion relations on the Bethe lattice. The system was studied for the coordination numbers with q=3q=3, 4, 5 and 6, and the obtained phase diagrams are illustrated on the (kTc/|J|,DA/|J|)(kTc/|J|,DA/|J|) plane for constant values of DB/|J|DB/|J|, the reduced crystal field of the sublattice with spin-5/2, and on the (kTc/|J|,DB/|J|)(kTc/|J|,DB/|J|) plane for constant values of DA/|J|DA/|J|, the reduced crystal field of the sublattice with spin-3/2, for q=3q=3 only, since the cases corresponding to q=4q=4, 5 and 6 reproduce results similar to the case for q=3q=3. In addition we have also presented the phase diagram with equal strengths of the crystal fields for q=3q=3, 4, 5 and 6. Besides the second- and first-order phase transitions, the system also exhibits compensation temperatures for appropriate values of the crystal fields. In this mixed spin system while the second-order phase transition lines never cut the reduced crystal field axes as in the single spin type spin-3/2 and spin-5/2 Ising models separately, the first-order phase transition lines never connect to the second-order phase transition lines and they end at the critical points, therefore the system does not give any tricritical points. In addition to this, this mixed-spin model exhibits one or two compensation temperatures depending on the values of the crystal fields, as a result the compensation temperature lines show reentrant behavior.