Test of Guttmann and Enting's conjecture in the eight-vertex model

Details Test of Guttmann and Enting's conjecture in the eight-vertex model Test of Guttmann and Enting's conjecture in the eight-vertex model

1997-10-11

arxiv.org/abs/cond-mat/9710106v1

Physics

Condensed Matter

15 pages, 3 figures, RevTeX

Scientific paper

10.1143/JPSJ.67.1067

We investigate the analyticity property of the partially resummed series expansion(PRSE) of the partition function for the eight-vertex model. Developing a graphical technique, we have obtained a first few terms of the PRSE and found that these terms have a pole only at one point in the complex plane of the coupling constant. This result supports the conjecture proposed by Guttmann and Enting concerning the ``solvability'' in statistical mechanical lattice models.

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