Two point functions for the six vertex model with reflecting end

TL;DR

This paper analyzes two point functions in the six vertex model with a reflecting boundary, expressing probabilities of boundary spins turning down through determinant formulas, advancing understanding of boundary effects in integrable models.

Contribution

It introduces determinant representations for two point functions in the six vertex model with reflecting end, a novel approach for boundary spin correlation analysis.

Findings

Determinant formulas for two point functions derived

Boundary spin probabilities expressed explicitly

Enhanced understanding of boundary effects in integrable models

Abstract

The two point functions, which give the probability that the spins turn down at the boundaries, are studied for the six vertex model on a $2N \times N$ lattice with domain wall boundary condition and left reflecting end. We consider two types of two point functions, and express them using determinants.