Spontaneous Polarization of the $\Bbb Z _{n}$-Baxter Model

TL;DR

This paper demonstrates that the correlation functions of the $z _n $-Baxter model satisfy specific difference equations and derives the spontaneous polarization as a solution to the simplest of these equations.

Contribution

It introduces a novel approach to compute spontaneous polarization in the $z _n $-Baxter model using difference equations.

Findings

Correlation functions satisfy a system of difference equations.

Spontaneous polarization obtained as a solution to the simplest difference equation.

Provides a new method for analyzing $z _n $-Baxter model properties.

Abstract

We show that correlation functions of the $\bz _n $-Baxter model in the principal regime satisfy a system of difference equations. We obtain the spontaneous polarization of the $\bz _n $-Baxter model as a solution of the simplest difference equation.