Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases

Pavel Bleher; Karl Liechty

doi:10.1007/s10955-009-9688-2

Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases

Mathematical Physics 2009-11-13 v2 math.MP

Authors: Pavel Bleher , Karl Liechty

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Abstract

This is a continuation of the papers [4] of Bleher and Fokin and [5] of Bleher and Liechty, in which the large $n$ asymptotics is obtained for the partition function $Z_n$ 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 $Z_n$ on the critical line between these two phases.

Keywords

six-vertex model domain wall boundary conditions exact solution partition function large $n$ asymptotics critical line ferroelectric phase disordered phase

Cite

@article{arxiv.0802.0690,
  title  = {Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases},
  author = {Pavel Bleher and Karl Liechty},
  journal= {arXiv preprint arXiv:0802.0690},
  year   = {2009}
}

Comments

22 pages, 6 figures, to appear in the Journal of Statistical Physics

Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases

Abstract

Keywords

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