Journal article

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

V Korepin, P Zinn-Justin

Journal of Mathematical Physics | Published : 2002


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 2 M 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. © 2002 American Institute of Physics.

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