Renormalization-group study of the Hamiltonian version of the Potts model

J. Slyom, P. Pfeuty

Research output: Article

71 Citations (Scopus)


The phase transition of the classical two-dimensional Potts model, in particular the order of the transition as the number of components q increases, is studied by constructing renormalization-group transformations on the equivalent one-dimensional quantum problem. It is shown that the block transformation with two sites per cell indicates the existence of a critical qc separating the small-q and large-q regions with different critical behaviors. The physically accessible fixed point for q>qc is a discontinuity fixed point where the specific-heat exponent =1, and therefore the transition is of first order.

Original languageEnglish
Pages (from-to)218-229
Number of pages12
JournalPhysical Review B
Issue number1
Publication statusPublished - jan. 1 1981

ASJC Scopus subject areas

  • Condensed Matter Physics

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