Mean-Field Analysis of Antiferromagnetic Three-State Potts Model with Next Nearest Neighbor Interaction

Details Mean-Field Analysis of Antiferromagnetic Three-State Potts Model with Next Nearest Neighbor Interaction Mean-Field Analysis of Antiferromagnetic Three-State Potts Model with Next Nearest Neighbor Interaction

1996-05-23

arxiv.org/abs/cond-mat/9605148v1

Physics

Condensed Matter

12 pages, latex, one postscript figure

Scientific paper

10.1103/PhysRevB.55.48

The three-state Potts model with antiferromagnetic nearest-neighbor (n.n.) and ferromagnetic next-nearest-neighbor (n.n.n) interaction is investigated within a mean-field theory. We find that the phase-diagram contains two kind of ordered phases, so-called BSS phase and PSS phase, separated by a discontinuous phase transition line. Order-disorder transition is continuous for the weak n.n.n. interaction and becomes discontinuous transition when the n.n.n. interaction is increased. We show that the multicritical point where the order-disorder transition becomes discontinuous is indeed a tricritical point.

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