Formfactors in the half-filled Hubbard model

TL;DR

This paper derives an exact expression for the two spinon form factor in the 1D half-filled Hubbard model and uses it to analyze the dynamical structure factor, advancing understanding of spin dynamics in strongly correlated systems.

Contribution

It provides the first exact formula for the two spinon form factor in the Hubbard model, enabling precise calculation of dynamical spin correlations.

Findings

Exact two spinon form factor derived

Contribution to dynamical structure factor calculated

Enhanced understanding of spin excitations in Hubbard model

Abstract

We consider dynamical spin-spin correlation functions in the one dimensional repulsive half-filled Hubbard model. We propose an exact expression for the two spinon formfactor of spin operators. We use this to derive the two spinon contribution to the dynamical structure factor.