The antiferromagnetic Ising model for a bilayer Bethe lattice

The totally antiferromagnetic Ising model is analyzed on a bilayer Bethe lattice in detail by studying the order-parameters, response functions, i.e. susceptibility and specific heat, and free energy by using the recursion relations in a pairwise approach. The ground state phase diagrams of the model are also obtained on the (J(2)/vertical bar J(1)vertical bar,J(3)/q vertical bar J(1)vertical bar) plane for given values of H/q vertical bar J(1)vertical bar and on the (H/q vertical bar J(1)vertical bar,J(3)/q vertical bar J(1)vertical bar) plane for given J(2)/vertical bar J(1)vertical bar. As a result, we have obtained the temperature-dependent phase diagrams for various values of the coordination number q on the (J(3)/vertical bar J(1)vertical bar,kT/vertical bar J(1)vertical bar) and (H/vertical bar J(1)vertical bar,kT/vertical bar J(1)vertical bar) planes for given values of the rest of the system parameters. (C) 2008 Elsevier B.V. All rights reserved.