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

J. Sólyom, P. Pfeuty

Research output: Contribution to journalArticle

69 Citations (Scopus)

Abstract

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
Volume24
Issue number1
DOIs
Publication statusPublished - 1981

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Potts model
Hamiltonians
Specific heat
Phase transitions
two dimensional models
discontinuity
specific heat
exponents
cells

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Renormalization-group study of the Hamiltonian version of the Potts model. / Sólyom, J.; Pfeuty, P.

In: Physical Review B, Vol. 24, No. 1, 1981, p. 218-229.

Research output: Contribution to journalArticle

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