Scattering mechanisms and spectral properties of the one-dimensional Hubbard model

TL;DR

This paper investigates the spectral properties of the 1D Hubbard model, revealing that scattering of composite objects, rather than independent particles, governs finite-energy spectral features, with an explicit calculation of the S matrix.

Contribution

It introduces a new understanding of spectral properties through the scattering of composite objects and calculates the S matrix relating to these properties.

Findings

Spectral properties are controlled by scattering of composite objects.

The S matrix for these scattering processes is explicitly calculated.

Independent holons and spinons are not the primary scattering entities.

Abstract

It is found that the finite-energy spectral properties of the one-dimensional Hubbard model are controlled by the scattering of charged $\eta$-spin-zero $2\nu$-holon composite objects, spin-zero $2\nu$-spinon composite objects, and charged $\eta$-spin-less and spin-less objects, rather than by the scattering of independent $\eta$-spin 1/2 holons and spin 1/2 spinons. Here $\nu =1,2,...$. The corresponding $S$ matrix is calculated and its relation to the spectral properties is clarified.