Multicomponent spin models with transitive symmetry groups

H. Moraal

Physica A: Statistical Mechanics and its Applications, 1982, vol. 113, issue 1, 67-76

Abstract: Some of the multicomponent spin models with transitive symmetry groups derived in the first paper of this series are solved in detail on the Cayley tree pseudo-lattice. The symmetry groups treated are: (i) the group of the cube, L(2)⊗L(4), (ii) the Klein group K(4), equivalent to the Ashkin-Teller model and (iii) the group F(6) as an example of a nonabelian regular permissible group. Three-dimensional phase diagrams in the “ferromagnetic” unit cube are presented for all cases. The connection between the “small-field” Cayley tree phase transitions and those predicted for real lattices by the Bethe approximation is clarified for the general case.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:113:y:1982:i:1:p:67-76

DOI: 10.1016/0378-4371(82)90005-X

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