Ising Model with Even-Bonds Plaquettes on the Square Lattice
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We propose an exactly soluble Ising model with two kinds of exchange integrals ona square lattice. We assume that the number of bonds on which the exchange integralstake a value is even around each elementary plaquette; we name such a plaquette aneven-bonds plaquette. We find two phase transition temperatures in the Ising model.We have a magnetic phase transition at one of them and a phase transition relating tothe ordering of a dual spins introduced by a dual transformation of bond variables atthe other. The latter phase transition is investigated in detail and turned out to have arelation with the confinement of odd-bonds plaquettes in a generalized system. Bothphase transitions are of Onsager type.
- 社団法人日本物理学会の論文
- 1989-09-15
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