A One Dimensional Ideal Gas of Spinons, or Some Exact Results on the XXX Spin Chain with Long Range Interaction

TL;DR

This paper explores the properties of an XXX spin chain with long-range interactions, providing exact results on its Hamiltonian, symmetry, spectrum, wave functions, spinon description, and thermodynamics.

Contribution

It offers a detailed analysis and exact results for the XXX spin chain with long-range interactions, expanding understanding of its spectral and thermodynamic properties.

Findings

Characterization of the Hamiltonian and symmetry properties

Exact spectrum and wave functions of the model

Insights into the spinon description and thermodynamics

Abstract

We describe a few properties of the XXX spin chain with long range interaction. The plan of these notes is: 1. The Hamiltonian 2. Symmetry of the model 3. The irreducible multiplets 4. The spectrum 5. Wave functions and statistics 6. The spinon description 7. The thermodynamics