Thermodynamic limit of the six-vertex model with reflecting end

TL;DR

This paper analyzes the thermodynamic limit of the six-vertex model with reflecting end, explicitly calculating the partition function and free energy, especially in the disordered regime, using determinant formulas.

Contribution

It provides an explicit evaluation of the partition function and free energy for the six-vertex model with reflecting end, extending understanding of boundary effects in this model.

Findings

Explicit partition function in special cases

Free energy in the disordered regime

Thermodynamic limit established

Abstract

We study the thermodynamic limit of the six-vertex model with domain wall boundary and reflecting end. We evaluated the partition function explicitly in special cases. We calculated the homogeneous limit of the Tsuchiya determinant formula for the partition function. We evaluated the thermodynamic limit and obtain the free energy of the six-vertex model with reflecting end. We determined the free energy in the disordered regime.