scholarly journals Critical manifold of the Potts model: Exact results and homogeneity approximation

2012 ◽  
Vol 86 (2) ◽  
Author(s):  
F. Y. Wu ◽  
Wenan Guo
Keyword(s):  
Potts Model ◽  
Exact Results ◽  
Critical Manifold

scholarly journals Potts model on recursive lattices: some new exact results

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
P. D. Alvarez ◽  
F. Canfora ◽  
S. A. Reyes ◽  
S. Riquelme
Keyword(s):  
Potts Model ◽  
Exact Results ◽  
Recursive Lattices

scholarly journals QUASI-PARTICLES IN THE CHIRAL POTTS MODEL

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3601-3621 ◽  
Author(s):  
RINAT KEDEM ◽  
BARRY M. McCOY
Keyword(s):  
Transfer Matrix ◽  
Potts Model ◽  
Numerical Study ◽  
Particle Spectrum ◽  
Exact Results ◽  
Chiral Potts Model ◽  
Quasi Particle ◽  
Massive Phase ◽  
Matrix Eigenvalues ◽  
Potts Chain

We study the quasi-particle spectrum of the integrable three-state chiral Potts chain in the massive phase by combining a numerical study of the zeros of associated transfer matrix eigenvalues with the exact results of the ferromagnetic three-state Potts chain and the three-state superintegrable chiral Potts model. We find that the spectrum is described in terms of quasi-particles with momenta restricted only to segments of the Brillouin zone 0≤P≤2π where the boundaries of the segments depend on the chiral angles of the model.

Exact results for the Potts model in two dimensions

1978 ◽  
Vol 19 (6) ◽  
pp. 623-632 ◽  
Author(s):  
A. Hintermann ◽  
H. Kunz ◽  
F. Y. Wu
Keyword(s):  
Potts Model ◽  
Two Dimensions ◽  
Exact Results

Some exact results for the Ashkin-Teller model

1979 ◽  
Vol 365 (1722) ◽  
pp. 371-380 ◽  
Keyword(s):  
Renormalization Group ◽  
Partition Function ◽  
Potts Model ◽  
Critical Line ◽  
Square Lattice ◽  
Direct Connection ◽  
Exact Results ◽  
Renormalization Group Theory ◽  
Vertex Model ◽  
Special Cases

It is shown that various cases of the Ashkin-Teller model on the square, triangular and hexagonal lattices can be transformed by the dual and star-triangle transformations and, further, that these problems can be reduced to special cases of the eight vertex model on the Kagomé lattice. In general, we can only obtain the partition function of the Ashkin-Teller model if we are on its line of fixed points, and it then turns out that it is reducible to the six vertex model. Since the partition function of the q -state Potts model at its critical point can also be related to the six vertex model, a direct connection between the Ashkin-Teller model and the Potts model can be made. It turns out that moving along the critical line of the Ashkin-Teller model corresponds to varying q for the Potts model. For the square lattice comparison is made with renormalization group calculations, and the agreement found is a satisfactory check of renormalization group theory.

New Exact Results for the Potts Model

1985 ◽  
Vol 54 (3) ◽  
pp. 209-212 ◽  
Author(s):  
M. T. Jaekel ◽  
J. M. Maillard ◽  
R. Rammal
Keyword(s):  
Potts Model ◽  
Exact Results
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