Exact phase diagrams for an Ising model on a two-layer Bethe lattice

Abstract

Using an iteration technique, we obtain exact expressions for the free energy and the magnetization of an Ising model on a two - layer Bethe lattice with intralayer coupling constants J1 and J2 for the first and the second layer, respectively, and interlayer coupling constant J3 between the two layers; the Ising spins also couple with external magnetic fields, which are different in the two layers. We obtain exact phase diagrams for the system.

24 pages, 2 figures. To be published in Phys. Rev. E 59, Issue 6, 1999

References in corpus (2)

• Exact correlation functions of Bethe lattice spin models in external fields
• An Ising spin - S model on generalized recursive lattice

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