Modified rational six vertex model on a rectangular lattice : new formula, homogeneous and thermodynamic limits

Abstract

We continue the work of Belliard, Pimenta and Slavnov (2024) studying the modified rational six vertex model. We find another formula of the partition function for the inhomogeneous model, in terms of a determinant that mix the modified Izergin one and a Vandermonde one. This expression enables us to compute the partition function in the homogeneous limit for the rectangular lattice, and then to study the thermodynamic limit. It leads to a new result, we obtain the first order of free energy with boundary effects in the thermodynamic limit.

45 pages, 18 figures, to appear in SciPost Physics, V2 : typos corrected, V3 : some modifications to include remarks of the reviewers

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