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

D. P. Foster; C. Gérard

doi:10.1103/PhysRevB.70.014411

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

D. P. Foster, C. Gérard

Research output: Contribution to journal › Article › peer-review

8 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 language	English
Article number	014411
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	70
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevB.70.014411
Publication status	Published - 13 Jul 2004
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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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, G{\'e}rard, 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 qq*. Tentative numerical results suggest q*≈4.",

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