PHASE-TRANSITION OF A ISING-MODEL ON A NEW LOOPED TREE-LIKE LATTICE

A more realistic looped tree-like Ising lattice than a cactus tree is newly proposed. In these lattices polygons of bonds are connected with each other through not a single vertex but a common side. For a pure Ising ferromagnet with hexagonal loops, transition temperature is rigorously obtained as kBTc/J =0.864. Random bond mixtures are also rigorously treated. © 1979, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.