Renormalisation group study of the (2+1) dimensional Potts model

F. Igloi, C. Vanderzande

Research output: Contribution to journalArticle

3 Citations (Scopus)


The Hamiltonian version of the three dimensional q-state Potts model is studied by the block transformation method on triangular and square lattices. The transition is found to be of first order when the number q is larger than a critical value. The first order transition, however, is not controlled by a discontinuity fixed point. The critical trajectory is attracted by a point, in which the transformation is discontinuous. The correlation length is finite and there is no time rescaling at the transition point, which therefore represents a first order transition.

Original languageEnglish
Pages (from-to)347-358
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Issue number2-3
Publication statusPublished - Apr 1986

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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