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

Ara Go and Gun Sang Jeon1

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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.


PACS

71.10.Fd Lattice fermion models (Hubbard model, etc.)

71.45.Gm Exchange, correlation, dielectric and magnetic response functions, plasmons

71.27.+a Strongly correlated electron systems; heavy fermions

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 48 (2 December 2009)

Received 26 May 2009, in final form 21 September 2009

Published 11 November 2009



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