Ising model with two-spin interactions and four-spin interactions on the square lattice

T. Horiguchi

Physica A: Statistical Mechanics and its Applications, 1985, vol. 130, issue 1, 194-204

Abstract: An Ising model with two-spin interactions in one direction and four-spin interactions on the smallest plaquettes is investigated on the square lattice. The part of the two-spin interactions is essential to determine the nature of the phase transition of the model. The system with nearest-neighbour interactions has no phase transition, the one with next-nearest-neighbour interactions has a spontaneous magnetization and belongs to the same class of universality as the eight-vertex model, the one with third-neighbour interactions has no spontaneous magnetization but belongs to the same class of universality as Onsager's lattice, and so on.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:130:y:1985:i:1:p:194-204

DOI: 10.1016/0378-4371(85)90104-9

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