Potts model on Sierpinski carpets
- 11 November 1986
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (16) , 3449-3453
- https://doi.org/10.1088/0305-4470/19/16/040
Abstract
Migdal-Kadanoff bond-moving renormalisation is used to study the q-state Potts model on Sierpinski carpets. A general approximate recursion relation including q as a parameter is given. The property of 'bond-interchanging invariance' is found and used in deriving the recursion relation. Fixed points and critical exponents for some carpets are presented. Marginal fixed points instead of unstable ones are found. Several typical flow diagrams are also shown.Keywords
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