Ising model with two-spin interactions and three-spin interactions on a square lattice

T. Horiguchi

Physica A: Statistical Mechanics and its Applications, 1986, vol. 136, issue 1, 109-123

Abstract: An investigation is given for an Ising model on a square lattice with two-spin interactions for all the vertical bonds and with three-spin interactions which exist alternately from triplets of three successive sites in a row of the horizontal direction and slantwise from row to row. We prove that there exists a phase transition in the system. An upper bound and a lower bound to the critical temperature are obtained. By using the finite-size scaling method, we calculate the thermal exponent and suggest that the system belongs to the same universality class as the Baxter-Wu model.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:136:y:1986:i:1:p:109-123

DOI: 10.1016/0378-4371(86)90045-2

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