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arXiv · 0911.0751

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

Ara Go·Gun Sang Jeon
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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.

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Ara Go, Gun Sang Jeon. 2009-11-04. Properties of the one-dimensional Hubbard model: cellular dynamical mean-field description. https://doi.org/10.1088/0953-8984%2F21%2F48%2F485602

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