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. Lichtenstein
Condensed Matter

Abstract

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 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).CrossRefMathSciNetADSGoogle Scholar
  2. 2.
    G. Kotliar and D. Vollhardt, Phys. Today 57(3), 53 (2004).CrossRefGoogle Scholar
  3. 3.
    V. Anisimov, A. Poteryaev, M. Korotin, et al., J. Phys.: Condens. Matter 9, 7359 (1997).CrossRefADSGoogle Scholar
  4. 4.
    A. I. Lichtenstein and M. I. Katsnelson, Phys. Rev. B 57, 6884 (1998).CrossRefADSGoogle Scholar
  5. 5.
    G. Kotliar, S. Savrasov, K. Haule, et al., Rev. Mod. Phys. 78, 865 (2006).CrossRefADSGoogle Scholar
  6. 6.
    G. D. Mahan, Many-Particle Physics, 2nd ed. (Plenum, New York, 1993).Google Scholar
  7. 7.
    P. W. Anderson, The Theory of Superconductivity in the High-T c Cuprates (Princeton Univ. Press, Princeton, 1997).Google Scholar
  8. 8.
    V. Yu. Irkhin, A. A. Katanin, and M. I. Katsnelson, Phys. Rev. B 64, 165107 (2001), Phys. Rev. Lett. 89, 076401 (2002).Google Scholar
  9. 9.
    S. Sachdev, Quantum Phase Transitions (Cambridge Univ. Press, Cambridge, 1999).Google Scholar
  10. 10.
    D. J. Scalapino, Phys. Rep. 250, 329 (1995).CrossRefGoogle Scholar
  11. 11.
    T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Rev. Mod. Phys. 77, 1027 (2005).CrossRefADSGoogle Scholar
  12. 12.
    A. I. Lichtenstein and M. I. Katsnelson, Phys. Rev. B 62, R9283 (2000).CrossRefADSGoogle Scholar
  13. 13.
    V. V. Mazurenko, A. I. Lichtenstein, M. I. Katsnelson, et al., Phys. Rev. B 66, 081104 (2002).Google Scholar
  14. 14.
    G. Kotliar, S. Y. Savrasov, G. Palsson, and G. Biroli, Phys. Rev. Lett. 87, 186401 (2001).Google Scholar
  15. 15.
    M. Potthoff, Eur. Phys. J. B 32, 429 (2003).CrossRefADSGoogle Scholar
  16. 16.
    A. Toschi, A. A. Katanin, and K. Held, Phys. Rev. B 75, 045118 (2007).Google Scholar
  17. 17.
    H. Kusunose, cond-mat/0602451.Google Scholar
  18. 18.
    C. Slezak, M. Jarrell, Th. Maier, and J. Deisz, cond-mat/0603421.Google Scholar
  19. 19.
    A. N. Rubtsov, M. I. Katsnelson, and A. I. Lichtenstein, cond-mat/0612196.Google Scholar
  20. 20.
    T. D. Stanescu and G. Kotliar, Phys. Rev. B 70, 205112 (2004).Google Scholar
  21. 21.
    G. Baym and L. P. Kadanoff, Phys. Rev. 124, 287 (1961).MATHCrossRefMathSciNetADSGoogle Scholar
  22. 22.
    A. N. Rubtsov, cond-mat/0302228; A. N. Rubtsov and A. I. Lichtenstein, JETP Lett. 80, 61 (2004); A. N. Rubtsov, V. V. Savkin, and A. I. Lichtenstein, Phys. Rev. B 72, 035122 (2005).CrossRefADSGoogle Scholar
  23. 23.
    E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).CrossRefADSGoogle Scholar
  24. 24.
    C. J. Bolech, S. S. Kancharla, and G. Kotliar, Phys. Rev. B 67, 075110 (2003).Google Scholar

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
  1. 1.Faculty of PhysicsMoscow State UniversityMoscowRussia
  2. 2.Institute of Theoretical PhysicsUniversity of HamburgHamburgGermany
  3. 3.Institute for Molecules and MaterialsRadboud UniversityNijmegenThe Netherlands

Personalised recommendations