The star-triangle transformation for self-dual spin models

Hendrik Moraal

Physica A: Statistical Mechanics and its Applications, 1988, vol. 152, issue 1, 109-126

Abstract: A necessary condition for the existence of a star-triangle transformation for a general, self-dual spin model is found. It is shown that this condition is, by symmetry, also sufficient for the Potts model and for the symmetric and general Ashkin-Teller models. For other models, explicit calculations show the sufficiency of the condition as well. The symmetry groups of the models considered are: L(M) ≈ L(M), L(2) ⊗ L(M), L(M) ⊗ L(M), D(5), D(7), L(2) ≈ L(2) ≈ L(2) and G(G9). These include all self-dual models with M⩽10 states, which have at most three independent energy parameters. The results are discussed. In particular, the “extraspecial” points found in the phase diagrams of models which contain a regular Z(M) subgroup for M⪖5 are tentatively related to the existence of Kosterlitz-Thouless phases for these models.

Date: 1988
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437188900672
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:152:y:1988:i:1:p:109-126

DOI: 10.1016/0378-4371(88)90067-2

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().