Green functions and correlation functions of a solvable S=1 quantum Ising spin model with dimerization

TL;DR

This paper provides detailed calculations of Green functions, correlation functions, and spin susceptibility for a solvable S=1 quantum Ising model with dimerization, extending previous work on exactly solvable models.

Contribution

It offers explicit analytical expressions for key physical quantities in a dimerized S=1 quantum Ising model, enhancing understanding of its quantum correlations.

Findings

Explicit Green functions derived for the model

Correlation functions analyzed with dimerization effects

Spin susceptibility characterized in the dimerized phase

Abstract

This is a supplementary material of our recent paper\cite{yangPRB}, where a class of exactly solvable S=1 quantum Ising spin models were studied based on the hole decomposition scheme. Here we provide some details for the Green functions, the spin-spin correlation functions, as well as the spin susceptibility in the presence of dimerization.