Spin-32 ising model and two-layer Ising model

Tsuyoshi Horiguchi, Adam Lipowski and Norihiro Tsushima

Physica A: Statistical Mechanics and its Applications, 1996, vol. 224, issue 3, 626-638

Abstract: We present a spin-32 Ising model which is equivalent to a “two-layer” Ising model. We find a solvable spin-32 Ising model and show that a system may have several critical exponents η corresponding to correlation functions of different Ising-type variables. We find two phase-transition temperatures in some of the systems and clarify the nature of phases. In a system with competing antiferromagnetic and ferromagnetic interactions on a triangular lattice, there are two critical temperatures and the value of η is 14 at a finite critical temperature and 12 at the critical zero temperature. We calculate the critical temperature as a function of ratio of interactions by using the interfacial approximation for a system with competing antiferromagnetic and ferromagnetic interactions on a square lattice; it turns out that the shift exponent is 0.5.

Keywords: Two-layer Ising model; Spin-32 Ising model; Exact solution; Critical phenomena (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:224:y:1996:i:3:p:626-638

DOI: 10.1016/0378-4371(95)00304-5

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