Two-dimensional decorated Ising model with classical vector spins and Ising spins of magnitude s

L.L. Gonçalves and T. Horiguchi

Physica A: Statistical Mechanics and its Applications, 1984, vol. 127, issue 3, 587-598

Abstract: A two-dimensional decorated Ising model with ν-dimensional vector spins and Ising spins of magnitude s is considered. The partition function, magnetization and correlation functions are expressed in terms of the average of functions of the spins of the Ising model with effective exchange constants. These results, although derived for a two-dimensional lattice, are valid for a lattice of arbitrary dimensionality. The phase diagram is obtained exactly in the zero external field and two-dimensional lattice for arbitrary values of s and ν, and, as expected, three transition temperatures are obtained for some values of the parameters. It is also shown that for |S|=1, s>12 there is an additional ordered phase (up-down/up-down), and for |S|=ν12 this additional phase can be either up-down/up-down or up-up/down-down depending on the values of ν and s.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:127:y:1984:i:3:p:587-598

DOI: 10.1016/0378-4371(84)90043-8

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