most citedPhase diagram of the three states Potts model with next nearest neighbor interactions on the Bethe lattice

38 citations

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2 papers

cond-mat.stat-mech2008★ 38 cited

Phase diagram of the three states Potts model with next nearest neighbor interactions on the Bethe lattice

Nasir Ganikhodjaev, Farrukh Mukhamedov, Chin Hee Pah

We have found an exact phase diagram of the Potts model with next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagneti…

math-ph2006★ 32 cited

A Contour Method on Cayley tree

U. A. Rozikov

We consider a finite range lattice models on Cayley tree with two basic properties: the existence of only a finite number of ground states and with Peierls type condition. We defin…