Statistical Theory of Bond-Random Ising Model on a Triangular Cactus Tree

Abstract

Phase transitions of Ising model on a tree-like lattice having looped interactions are theoretically investigated. Concentration dependences of transition temperatures to a ferromagnetic ordered phase are rigorously obtained for several binary random-bond mixtures. For dilute ferromagnets magnetization, energies, spin-pair correlations, specific heats and susceptibilities have been evaluated in the ordered phase as well as in the paramagnetic phase. Spatial distributions of local magnetizations are estimated.