arXiv:nlin/0008030 · Journal of Mathematical Physics

Inhomogeneous six-vertex model with domain wall boundary conditions and Bethe ansatz

V. E. Korepin, Paul Zinn-Justin

Published Jun 1, 2002• 3 citations

Abstract

In this note, we consider the six-vertex model with domain wall boundary conditions, defined on an M×M lattice, in the inhomogeneous case where the partition function depends on 2M inhomogeneities λj and μk. For a particular choice of the set of λj 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 formulas. 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.

DOI: 10.1063/1.1415430

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