Exact Solution of the Six-Vertex Model with Domain Wall Boundary Conditions. Critical Line between Ferroelectric and Disordered Phases

被引:0
作者
Pavel Bleher
Karl Liechty
机构
[1] Indiana University-Purdue University Indianapolis,Department of Mathematical Sciences
来源
Journal of Statistical Physics | 2009年 / 134卷
关键词
Six-vertex model; Domain wall boundary conditions; Critical line between ferroelectric and disordered phases; Large ; asymptotics of the partition function;
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摘要
This is a continuation of the papers of Bleher and Fokin (Commun. Math. Phys., 268:223–284, 2006) and of Bleher and Liechty (Commun. Math. Phys., 286:777–801, 2009), in which the large n asymptotics is obtained for the partition function Zn of the six-vertex model with domain wall boundary conditions in the disordered and ferroelectric phases, respectively. In the present paper we obtain the large n asymptotics of Zn on the critical line between these two phases.
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