Exact critical condition for a site-diluted Potts model

I. Kondor, T. Temesvari

Research output: Contribution to journalArticle

8 Citations (Scopus)


The exact phase boundary for a site-diluted q-state Potts model on the honeycomb lattice with vacancies appearing on one of the sublattices only is derived from a duality argument. While the result offers a partial test of recent renormalisation group calculations, it is pointed out that the RG flow structure in this model must be different from that discovered by Nienhuis et al. (see J. Phys. A, vol.13, p.L31, 1980) in fully dilute models, in that for q=2, where our model is exactly solvable, the transition is always second order and it is argued that due to the restriction imposed upon the vacancies this remains so up to q=4.

Original languageEnglish
Article number001
Pages (from-to)L97-L102
JournalJournal of Physics C: Solid State Physics
Issue number5
Publication statusPublished - Dec 1 1981

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering(all)
  • Physics and Astronomy(all)

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