The excitation operator method in the spin dynamics of the one-dimensional XXZ model

TL;DR

This paper introduces the excitation operator method to analyze spin dynamics in the 1D XXZ model, revealing diffusive spin transport in the gapped phase at high temperature.

Contribution

The paper develops a novel excitation operator approach for solving the Heisenberg equation, applied here to uncover spin transport behavior in the XXZ model.

Findings

Diffusive spin transport in the gapped phase

Method successfully solves Heisenberg equations of motion

Applicable to high-temperature spin dynamics

Abstract

We develop the excitation operator method, which is designed to solve the Heisenberg equation of motion by constructing the excitation operators. We use it to study the spin dynamics in the one-dimensional XXZ model. We find the diffusive spin transport in the gapped phase at the high temperature limit.