The matrix product representation for the q-VBS state of one-dimensional higher integer spin model

TL;DR

This paper derives a matrix product representation for the ground state of a generalized q-deformed valence-bond-solid model in one-dimensional higher integer spins, enabling explicit calculation of correlation functions.

Contribution

It introduces a new matrix product representation for the q-VBS ground state in higher integer spin models, extending previous results for spin-1 and isotropic cases.

Findings

Derived the matrix product form of the ground state.

Calculated correlation functions explicitly.

Unified description for various spin and limit cases.

Abstract

The generalized q-deformed valence-bond-solid groundstate of one-dimensional higher integer spin model is studied. The Schwinger boson representation and the matrix product representation of the exact groundstate is determined, which recovers the former results for the spin-1 case or the isotropic limit. As an application, several correlation functions are evaluated from the matrix product representation.