Completeness of a fermionic basis in the homogeneous XXZ model

TL;DR

This paper demonstrates how to construct a basis of quasi-local operators in the homogeneous XXZ chain using creation operators, advancing the understanding of the model's operator space structure.

Contribution

It introduces a method to explicitly construct a basis of quasi-local operators in the XXZ model utilizing creation operators, providing new tools for analysis.

Findings

Constructed a basis of quasi-local operators for the XXZ chain.

Utilized creation operators from previous works to achieve this.

Enhanced the understanding of the operator space in the XXZ model.

Abstract

With the aid of the creation operators introduced in our previous works, we show how to construct a basis of the space of quasi-local operators for the homogeneous XXZ chain.