Critical behavior of the fully frustrated q-state Potts piled-up-domino model

D. P. Foster, C. Gérard

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A q-state fully frustrated Potts model, the piled-up-domino model, is studied for different integer and noninteger values of q. Phase diagrams and some critical exponents are calculated using numerical transfer matrix methods. Foster, Gérard, and Puha [J. Phys. A 34, 5193 (2001)] have shown that there is a reentrant paramagnetic phase when q=3. It is shown here that the direction of reentrance changes as q passes through q=2 and disappears for a certain value of q=q*. The phase diagram of the model is radically different for q<q* and q>q*. Tentative numerical results suggest q*≈4.

Original languageEnglish
Article number014411
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume70
Issue number1
DOIs
Publication statusPublished - 13 Jul 2004
Externally publishedYes

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Phase diagrams
Potts model
Transfer matrix method
phase diagrams
matrix methods
integers
exponents
Direction compound

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Critical behavior of the fully frustrated q-state Potts piled-up-domino model. / Foster, D. P.; Gérard, C.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 70, No. 1, 014411, 13.07.2004.

Research output: Contribution to journalArticle

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