Critical behaviour of fully frustrated Potts models

D. P. Foster, C. Gérard, I. Puha

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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
Volume34
Issue number25
DOIs
Publication statusPublished - 15 Jun 2001
Externally publishedYes

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Potts model
Potts Model
Critical Behavior
Ising
Ground state
Ground State
Entropy
Zigzag
entropy
ground state
Ising model
Frustration
Qualitative Behavior
Transfer Matrix
Finite Temperature
Square Lattice
Model
Phase Diagram
Ising Model
Superconducting transition temperature

ASJC Scopus subject areas

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

Cite this

Critical behaviour of fully frustrated Potts models. / Foster, D. P.; Gérard, C.; Puha, I.

In: Journal of Physics A: Mathematical and General, Vol. 34, No. 25, 15.06.2001, p. 5183-5200.

Research output: Contribution to journalArticle

Foster, D. P. ; Gérard, C. ; Puha, I. / Critical behaviour of fully frustrated Potts models. In: Journal of Physics A: Mathematical and General. 2001 ; Vol. 34, No. 25. pp. 5183-5200.
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