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 | |
| Publication status | Published - 13 Jul 2004 |
| Externally published | Yes |
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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 journal › Article
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TY - JOUR
T1 - Critical behavior of the fully frustrated q-state Potts piled-up-domino model
AU - Foster, D. P.
AU - Gérard, C.
PY - 2004/7/13
Y1 - 2004/7/13
N2 - 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 qq*. Tentative numerical results suggest q*≈4.
AB - 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 qq*. Tentative numerical results suggest q*≈4.
U2 - 10.1103/PhysRevB.70.014411
DO - 10.1103/PhysRevB.70.014411
M3 - Article
VL - 70
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 1
M1 - 014411
ER -