Ground states of an extended Falicov-Kimball model

Solids and Liquids
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Abstract.

We present a non-perturbative study of an extended Falicov-Kimball model in one dimension. Working within the binary alloy interpretation, we include the spin of the itinerant electrons and a Hubbard interaction to model the inter-electron correlations. We derive an effective Ising model for the atomic configuration in order to show how the Hubbard term affects the stability of the phase separated states. Furthermore, we investigate the competition between the Mott insulator state of the itinerant electrons and the checkerboard phase of the spinless Falicov-Kimball model.

PACS.

71.10.Fd Lattice fermion models (Hubbard model, etc.) 71.30.+h Metal-insulator transitions and other electronic transitions 

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References

  1. L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969); R. Ramirez, L.M. Falicov, Phys. Rev. B 3, 2425 (1971) CrossRefADSGoogle Scholar
  2. T. Kennedy, E.H. Lieb, Physica A 138, 320 (1986) CrossRefMathSciNetADSGoogle Scholar
  3. F. Ducastelle, Order and Phase Stability in Alloys (North-Holland, New York, 1991) Google Scholar
  4. P. Lemberger, J. Phys. A: Math. Gen. 25, 715 (1992) CrossRefMathSciNetADSGoogle Scholar
  5. J.K. Freericks, L.M. Falicov, Phys. Rev. B 41, 2163 (1990) CrossRefADSGoogle Scholar
  6. J.K. Freericks, Ch. Gruber, N. Macris, Phys. Rev. B 53, 16189 (1996). CrossRefADSGoogle Scholar
  7. P. Farkašovský, I. Bat'ko, J. Phys.: Cond. Mat. 5, 7131 (1993) CrossRefADSGoogle Scholar
  8. Z. Gajek, J. Jędrzejewski, R. Lemański, Physica A 223, 175 (1996) CrossRefADSGoogle Scholar
  9. J.K. Freericks, Phys. Rev. B 47, 9263 (1993) CrossRefADSGoogle Scholar
  10. Z. Gajek, R. Lemański, Acta. Phys. Pol. B 32, 3473 (2001) ADSGoogle Scholar
  11. T. Portengen, Th. Östreich, L.J. Sham, Phys. Rev. B 54, 17452 (1996) CrossRefADSGoogle Scholar
  12. C.D. Batista, Phys. Rev. Lett. 89, 166403 (2002) CrossRefADSGoogle Scholar
  13. P.M.R. Brydon, M. Gulácsi, Phys. Rev. Lett. 96, 036407 (2006) CrossRefADSGoogle Scholar
  14. J.K. Freericks, V. Zlatić, Rev. Mod. Phys. 75, 1333 (2003) CrossRefADSGoogle Scholar
  15. T. Minh-Tien, Phys. Rev. B 67, 144404(R) (2003); V.-N. Phan, M.-T. Tran, Phys. Rev. B 72, 214418 (2006) CrossRefADSGoogle Scholar
  16. R. Lemański, Phys. Rev. B 71, 035107 (2005) CrossRefADSGoogle Scholar
  17. P. Farkašovský, H. Čenčariková, Europ. Phys. J. B 47, 517 (2005) CrossRefADSGoogle Scholar
  18. P.M.R. Brydon, M. Gulácsi, Phys. Rev. B 73, 235120 (2006) CrossRefADSGoogle Scholar
  19. M. Fabrizio, A.O. Gogolin, A.A. Nersesyan, Phys. Rev. Lett. 83, 2014 (1999) CrossRefADSGoogle Scholar
  20. C.D. Batista, A. Aliga, Phys. Rev. Lett. 92, 246405 (2004) CrossRefADSGoogle Scholar
  21. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, Oxford, 2003) Google Scholar
  22. M. Gulácsi, Adv. Phys. 53, 769(2004) CrossRefADSGoogle Scholar
  23. It is interesting to note that a similar effect is responsible for the ferromagnetic phases in the doped 1D Kondo lattice model G04 Google Scholar
  24. L.I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1955) Google Scholar
  25. C. Sire, Int. J. Mod. Phys. B 7, 1551 (1993) MATHCrossRefADSGoogle Scholar
  26. P. Farkašovský, Phys. Rev. B 60, 10776 (1999) CrossRefADSGoogle Scholar
  27. P. Farkašovský, Phys. Rev. B 51, 1507 (1995) CrossRefADSGoogle Scholar
  28. T. Egami, S. Ishahara, M. Tachiki, Science 261, 1307 (1993) CrossRefADSGoogle Scholar
  29. S.R. Manmana, V. Meden, R.M. Noack, K. Schönhammer, Phys. Rev. B 70, 155115 (2004) CrossRefADSGoogle Scholar
  30. R.E. Peierls, Quantum Theory of Solids (Oxford University Press, Oxford, 1955) Google Scholar
  31. M.C. Cross, D.S. Fischer, Phys. Rev. B 19, 402 (1979) CrossRefADSGoogle Scholar
  32. M.E. Torio, A.A. Aligia, G.I. Japaridze, B. Normand, Phys. Rev. B 73, 115109 (2006) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  • P. M.R. Brydon
    • 1
  • M. Gulácsi
    • 2
  • A. Bussmann-Holder
    • 1
  1. 1.Max-Planck-Institut für FestkörporforschungStuttgartGermany
  2. 2.Department of Theoretical PhysicsInstitute of Advanced Studies, The Australian National UniversityCanberraAustralia

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