Modified rational six vertex model on a rectangular lattice: New formula, homogeneous and thermodynamic limits
Abstract
We continue the work of [S. Belliardet al., SciPost Phys. 16, 009 (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.
Fields of Study & Subjects
Theoretical and Computational Physics
Spectral Theory in Mathematical Physics
Quantum chaos and dynamical systems
Publication details
- Journal / source
- SciPost Physics
- Volume
- 20
- Issue
- 3
- Publication date
- 9 March 2026
- Language
- EN