Potts model on a fractal lattice

Y. Pik, Y. Y. Goldschmidt

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The authors consider the dilute Potts model on the Sierpinski carpet. The model has a phase transition at a finite temperature and both critical and tricritical behaviour are observed for qqc (where q is the number of Potts states). They use Migdal-Kadanoff type recursion relations to obtain the value of qc and of critical and tricritical exponents and investigate their dependence on various geometrical characteristics of the fractal.

Original languageEnglish
Article number029
Pages (from-to)2159-2178
Number of pages20
JournalJournal of Physics A: General Physics
Volume20
Issue number8
DOIs
StatePublished - 1987

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