Significance of the non-2-spinon part of $S(q,\omega)$ in the one-dimensional $S=1/2$ Heisenberg antiferromagnet at zero temperature

TL;DR

This paper investigates the role of non-2-spinon excitations in the dynamic spin structure factor of the 1D S=1/2 Heisenberg antiferromagnet at zero temperature, revealing their significant impact on various physical quantities.

Contribution

It provides a detailed analysis of non-2-spinon contributions to $S(q,\,)$ using finite-size data, highlighting their importance beyond 2-spinon excitations.

Findings

Non-2-spinon excitations significantly affect the integrated intensity.

They influence the susceptibility and frequency moments.

Impact on Euclidean time representation of $S(q,\,)$ is demonstrated.

Abstract

The impact of the non-2-spinon excitations of the one-dimensional $S=1/2$ Heisenberg antiferromagnet on the integrated intensity, the susceptibility, the frequency moments, and the Euclidian time representation of the $T=0$ dynamic spin structure factor $S(q,\omega)$ is studied on the basis of finite-size data for chains with up to $N=28$ sites.