S. Li et Zr. Yang, ADDITIONAL LONG-RANGE INTERACTIONS ON DIAMOND-TYPE HIERARCHICAL LATTICES, Communications in Theoretical Physics, 26(4), 1996, pp. 401-406
The Ising model with additional next-nearest neighbour (n.n.n.) intera
ctions in generator of diamond-type hierarchical lattice is studied. I
t is found that phase transition occurs only when the nearest neighbou
r (n.n.) interaction K-1 and n.n.n. interaction K-2 fulfils a certain
relation and the universal class of phase transition is not changed by
the long-range interactions.