Additional Long-Range Interactions on Diamond-Type Hierarchical Lattices

Song Li, Zhao‐Di Yang · Communications in Theoretical Physics · 1996

The Ising model with additional next-nearest neighbour (n.n.n.) interactions in generator of diamond-type hierarchical lattice is studied. It is found that phase transition occurs only when the nearest neighbour (n.n.) interaction and n.n.n. interaction fulfils a certain relation and the universal class of phase transition is not changed by the long-range interactions.

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