Modified rational six vertex model on a rectangular lattice : new formula, homogeneous and thermodynamic limits
Mathematical Physics
2026-03-11 v3 Statistical Mechanics
math.MP
Quantum Physics
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.
Cite
@article{arxiv.2509.11797,
title = {Modified rational six vertex model on a rectangular lattice : new formula, homogeneous and thermodynamic limits},
author = {Matthieu Cornillault and Samuel Belliard},
journal= {arXiv preprint arXiv:2509.11797},
year = {2026}
}
Comments
45 pages, 18 figures, to appear in SciPost Physics, V2 : typos corrected, V3 : some modifications to include remarks of the reviewers