A note on a boundary one point function for the six vertex model with reflecting end

TL;DR

This paper investigates a new boundary one-point function related to boundary spontaneous polarization in the six vertex model with a reflecting end, expressing it through determinant-based coordinate space wave functions.

Contribution

It introduces a novel boundary one-point function for the six vertex model with reflecting boundary, expanding understanding of boundary effects in integrable models.

Findings

Expressed the boundary one-point function as determinants of coordinate space wave functions.

Connected the boundary function to boundary spontaneous polarization.

Provided a new analytical approach for models with reflecting ends.

Abstract

A boundary one point function related to the boundary spontaneous polarization, which is different from the ones considered in the past, is studied for the six vertex model on a 2N \times N lattice with domain wall boundary condition and left reflecting end. It is expressible in terms of a special kind of coordinate space wave functions, which can be expressed as determinants.