Exact critical condition for a site-diluted Potts model

I. Kondor, T. Temesvari

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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
JournalJournal of Physics C: Solid State Physics
Volume14
Issue number5
DOIs
Publication statusPublished - 1981

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Potts model
Vacancies
Phase boundaries
Flow structure
Crystal lattices
sublattices
constrictions

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Exact critical condition for a site-diluted Potts model. / Kondor, I.; Temesvari, T.

In: Journal of Physics C: Solid State Physics, Vol. 14, No. 5, 001, 1981.

Research output: Contribution to journalArticle

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