Zeroes of the triangular Potts model partition function: a conjectured distribution
We consider the q-state Potts model on the triangular lattice with two- and three-site interactions in alternate triangular faces, and determine zeroes of the partition function numerically in the case of pure three-site interactions. On the basis of a rigorous reciprocal symmetry and results on the zeroes for finite lattices, we conjecture that zeroes of the partition function of the triangular Potts model with pure three-site interactions in alternate triangular faces lie on a circle and a segment of the negative real axis. It is shown that the conjecture holds for q = 2, and that it reproduces the known critical point for general q, including the q = 1 site percolation.
Year of publication: |
1994
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Authors: | Anglès d'Auriac, J.C. ; Maillard, J.M. ; Rollet, G. ; Wu, F.Y. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 206.1994, 3, p. 441-453
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Publisher: |
Elsevier |
Saved in:
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