Six-vertex model with partial domain wall boundary conditions: ferroelectric phase
Mathematical Physics
2015-02-23 v2 math.MP
Abstract
We obtain an asymptotic formula for the partition function of the six-vertex model with partial domain wall boundary conditions in the ferroelectric phase region. The proof is based on a formula for the partition function involving the determinant of a matrix of mixed Vandermonde/Hankel type. This determinant can be expressed in terms of a system of discrete orthogonal polynomials, which can then be evaluated asymptotically by comparison with the Meixner polynomials.
Keywords
Cite
@article{arxiv.1407.8483,
title = {Six-vertex model with partial domain wall boundary conditions: ferroelectric phase},
author = {Pavel Bleher and Karl Liechty},
journal= {arXiv preprint arXiv:1407.8483},
year = {2015}
}
Comments
32 pages, 6 figures, minor changes in version 2