A study of the bilayer Bethe lattice for spin-3/2 Ising model

The spin-3/2 Ising model on the bilayer Bethe lattice is studied in terms of the exact recursion relations with the intralayer bilinear interactions J(11) and J(22) of the two layers with ferromagnetic coupling and interlayer bilinear interaction J(12) between the layers with ferromagnetic or antiferromagnetic coupling. We first have obtained the ground state configurations of the model on the (J(22)/vertical bar J(11)vertical bar,J(21)q/vertical bar J(11)) planes for J(11)< 0 and J(11)> 0. Then the thermal behaviors of the order-parameters, the total and staggered magnetizations of the two layers and also the spin-spin correlation function between the nearest-neighbor spins of the adjacent layers, are studied to obtain the phase diagrams of the model on the (kT/J(11),J(12)/J(11)) plane for given values of J(22)/J(11) and the coordination number q. As a result, a few types of the critical temperatures of the model are obtained. (c) 2006 Elsevier B.V. All rights reserved.