Variational Cluster Approach to Correlated Electron Systems in Low Dimensions

M. Potthoff, M. Aichhorn, and C. Dahnken
Phys. Rev. Lett. 91, 206402 – Published 11 November 2003


A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory [D. Sénéchal et al., Phys. Rev. Lett. 84, 522 (2000)] and the cellular dynamical mean-field theory [G. Kotliar et al., Phys. Rev. Lett. 87, 186401 (2001)] are limiting cases of a more general cluster method. The results for the one-dimensional Hubbard model are discussed with regard to boundary conditions, bath degrees of freedom, and cluster size.

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  • Received 10 March 2003


©2003 American Physical Society

Authors & Affiliations

M. Potthoff1, M. Aichhorn2, and C. Dahnken1

  • 1Institut für Theoretische Physik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
  • 2Institut für Theoretische Physik, Technische Universität Graz, Petersgasse 16, 8010 Graz, Austria

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Vol. 91, Iss. 20 — 14 November 2003

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