JETP Letters

, Volume 86, Issue 10, pp 677–682 | Cite as

Cluster dual fermion approach to nonlocal correlations

  • H. Hafermann
  • S. Brener
  • A. N. Rubtsov
  • M. I. Katsnelson
  • A. I. LichtensteinEmail author
Condensed Matter


A general cluster dual fermion approach to nonlocal correlations in crystals is formulated. The scheme allows the treatment of long-range correlations beyond the cluster dynamical mean field theory and nonlocal effects in realistic calculations of multiorbital systems. The simplest approximation is shown to exactly correspond to the free-cluster dynamical mean field theory. This approach is applied to the one-dimensional Hubbard model. Already the first dual-fermion correction to the free cluster leads to a drastic improvement of the calculated Green’s function.

PACS numbers

71.10.Fd 71.15.-m 71.27.+a 


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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • H. Hafermann
    • 2
  • S. Brener
    • 2
  • A. N. Rubtsov
    • 1
  • M. I. Katsnelson
    • 3
  • A. I. Lichtenstein
    • 2
    Email author
  1. 1.Faculty of PhysicsMoscow State UniversityMoscowRussia
  2. 2.Institute of Theoretical PhysicsUniversity of HamburgHamburgGermany
  3. 3.Institute for Molecules and MaterialsRadboud UniversityNijmegenThe Netherlands

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