Interaction among particles with fractionalized quantum numbers in one dimensional samples

TL;DR

This paper provides an exact analysis of elementary excitations in one-dimensional strongly correlated electronic systems, revealing short-range interactions between fractionalized particles and their effects on physical properties.

Contribution

It derives and solves the equations of motion for spinon and holon wavefunctions in specific models, demonstrating short-range attraction between these fractionalized particles.

Findings

Spinon-spinon and spinon-holon interactions are short-range attractions.

Exact solutions for wavefunctions are obtained.

Physical consequences on spin-form factor and hole-spectral function are analyzed.

Abstract

The elementary excitations of strongly correlated one-dimensional electronic systems - spinons and holons - are discussed in an exact solution of the Haldane-Shastry and Kuramoto-Yokoyama model. We derive and exactly solve the equation of motion both for the two-spinon wavefunction and for the one-spinon, one-holon wavefunction. By solving the equations of motion we find the spinon-spinon and spinon-holon interaction to be a short-range attraction. The physical consequences of such an attraction on the spin-form factor and on the hole-spectral function are also worked out.