Critical behaviour of fully frustrated Potts models

D. P. Foster, C. Gérard, I. Puha

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


A numerical transfer matrix calculation is presented for two fully frustrated three-state Potts models on the square lattice: the Potts piled-up-domino model and the Potts zig-zag model. The ground state entropies and phase diagrams are found. The Potts piled-up-domino model displays a finite-temperature transition when the frustration effects are maximal, and displays re-entrant behaviour, in contrast to the Ising model equivalent. The ground-state entropy per spin is larger than in the Ising equivalent. The Potts zig-zag model displays the same qualitative behaviour as its Ising counterpart, and the ground-state entropy per spin is the same in the Potts and Ising cases.

Original languageEnglish
Pages (from-to)5183-5200
Number of pages18
JournalJournal of Physics A: Mathematical and General
Issue number25
Publication statusPublished - 15 Jun 2001
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics


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