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

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

2000-08-23

arxiv.org/abs/nlin/0008030v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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 $\lambda_j$ and $\mu_k$. For a particular choice of the set of $\lambda_j$ 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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