Inhomogeneous Six-Vertex Model with Domain Wall Boundary Conditions and Bethe Ansatz

V. Korepin; P. Zinn-Justin

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arXiv · nlin/0008030

Inhomogeneous Six-Vertex Model with Domain Wall Boundary Conditions and Bethe Ansatz

V. Korepin·P. Zinn-Justin

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Abstract

In this note, we consider the six-vertex model with domain wall boundary conditions, defined on a $M\times M$ lattice, in the inhomogeneous case where the partition function depends on 2M inhomogeneities $λ_j$ and $μ_k$. For a particular choice of the set of $λ_j$ we find a new determinant representation for the partition function, which allows evaluation of the bulk free energy in the thermodynamic limit. This provides a new connection between two types of determinant formulae. We also show in a special case that spin correlations on the horizontal line going through the center coincide with the ones for periodic boundary conditions.

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BibTeX RIS

V. Korepin, P. Zinn-Justin. 2000-08-23. Inhomogeneous Six-Vertex Model with Domain Wall Boundary Conditions and Bethe Ansatz. https://arxiv.org/abs/nlin/0008030

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