Correlation functions for the three state superintegrable chiral Potts spin chain of finite lengths

TL;DR

This paper calculates correlation functions for small finite chains of the three-state superintegrable chiral Potts model and proposes conjectures for the general form of the nearest neighbor correlation function.

Contribution

It provides explicit correlation function calculations for small chain lengths and introduces conjectures for the correlation function's form in this model.

Findings

Explicit correlation functions for chain lengths 3, 4, 5

Conjectures for the form of the nearest neighbor correlation function

Insights into the structure of the superintegrable chiral Potts model

Abstract

We compute the correlation functions of the three state superintegrable chiral Potts spin chain for chains of length 3,4,5. From these results we present conjectures for the form of the nearest neighbor correlation function.