Properties of the one-dimensional Hubbard model: cellular dynamical mean-field description

TL;DR

This paper demonstrates that cellular dynamical mean-field theory accurately captures the spectral properties and spin-charge separation in the one-dimensional Hubbard model, aligning well with Bethe ansatz results.

Contribution

It systematically evaluates the accuracy of CDMFT for 1D systems, showing it effectively reproduces spectral features with small clusters.

Findings

CDMFT accurately describes spectral gaps and energy densities.

Reproduces Bethe ansatz dispersion features.

Captures spin-charge separation phenomena.

Abstract

The one-dimensional half-filled Hubbard model is considered at zero temperature within the cellular dynamical mean-field theory (CDMFT). By the computation of the spectral gap and the energy density with various cluster and bath sizes we examine the accuracy of the CDMFT in a systematic way, which proves the accurate description of the one-dimensional systems by the CDMFT with small clusters. We also calculate the spectral weights in a full range of the momentum for various interaction strengths. The results do not only account for the spin-charge separation, but they also reproduce all the features of the Bethe ansatz dispersions, implying that the CDMFT provides an excellent description of the spectral properties of low-dimensional interacting systems.