One-Particle Spectral Properties of Mott-Hubbard Insulators

TL;DR

This paper develops an exact theoretical framework to analyze the spectral properties of Mott-Hubbard insulators, specifically applying it to the 1D Hubbard model to go beyond conformal-field theory approximations.

Contribution

It introduces a holon and spinon Landau-liquid functional that captures interactions at all scattering orders in integrable multicomponent systems.

Findings

Derived correlation functions for the 1D Hubbard model.

Extended analysis beyond conformal-field theory.

Provided insights into non-linear band effects.

Abstract

We use an exact holon and spinon Landau-liquid functional which describes the holon - spinon interactions at all scattering orders, to study correlation functions of integrable multicomponent many-particle problems showing both linear and non-linear energy bands. We consider specific cases when the dominant non-linear band terms are quadratic and apply our results to the evaluation of the 1D Hubbard model correlation functions beyond conformal-field theory.