One-Particle Spectral Properties of 1D Mott-Hubbard Insulators

TL;DR

This paper develops an exact theoretical framework to analyze the spectral properties of 1D Mott-Hubbard insulators, incorporating holon and spinon interactions, and applies it to interpret photoemission experiments beyond conformal-field theory.

Contribution

It introduces a holon-spinon Landau-liquid functional that captures interactions at all scattering orders, extending analysis of spectral functions beyond traditional conformal-field theory.

Findings

Accurate description of spectral functions at half-filling

Inclusion of non-linear band effects in spectral analysis

Enhanced understanding of photoemission data in 1D systems

Abstract

We use an exact {\it holon} and {\it 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. Motivated by recent photoemission experiments, we consider specific cases when the dominant non-linear band terms are quadratic and apply our results to the evaluation of the half-filling 1D Hubbard model one-particle spectral functions beyond conformal-field theory.