Skip to main content
Log in

Ground states of the generalized Falicov-Kimball model in one and two dimensions

  • Solid and Condensed State Physics
  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

A combination of small-cluster exact-diagonalization calculations and a well-controlled approximative method is used to study the ground-state phase diagram of the spin-one-half Falicov-Kimball model extended by the spin-dependent on-site interaction between localized (f) and itinerant (d) electrons. Both the magnetic and charge ordering are analysed as functions of the spin-dependent on-site interaction (J) and the total number of itinerant (Nd) and localized (Nf) electrons at selected U (the spin-independent interaction between the f and d electrons). It is shown that the spin-dependent interaction (for Nf=L, where L is the number of lattice sites) stabilizes the fully polarized (FP) and partially polarized (PP) state, while the stability region of the non polarized (NP) phase is gradually reduced. The precisely opposite effect on the stability of FP, PP and NP phases has a reduction of Nf. Moreover, the strong coupling between the f and d-electron subsystems is found for both Nf=L as well as Nf < L.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • C.H. Chen, S.-W. Cheong, A.S. Cooper, Phys. Rev. Lett. 71, 2461 (1993); J.M. Tranquada, D.J. Buttrey, V. Sachan, J.E. Lorenzo, Phys. Rev. Lett. 73, 1003 (1994); J.M. Tranquada, D.J. Buttrey, V. Sachan, J.E. Lorenzo, Phys. Rev. B 52, 3581 (1995); V. Sachan et al., Phys. Rev. B 51, 12742 (1995)

    ADS  Google Scholar 

  • J.M. Tranquada, B.J. Sternlieb, J.D. Axe, Y. Nakamura, S. Uchida, Nature (London) 375, 561 (1995); J.M. Tranquada, B.J. Sternlieb, J.D. Axe, Y. Nakamura, S. Uchida, Phys. Rev. B 54, 7489 (1996); J.M. Tranquada, B.J. Sternlieb, J.D. Axe, Y. Nakamura, S. Uchida, Phys. Rev. Lett. 78, 338 (1997); H.A. Mook, P. Dai, F. Dogan, Phys. Rev. Lett. 88, 097004 (2002)

    Article  ADS  Google Scholar 

  • L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969)

    Article  ADS  Google Scholar 

  • R. Lemanski, J.K. Freericks, G. Banach, Phys. Rev. Lett. 89, 196403 (2002)

    ADS  Google Scholar 

  • R. Lemanski, Phys. Rev. B 71, 035107 (2005)

    Article  ADS  Google Scholar 

  • E. Dagotto, Rev. Mod. Phys. 66, 763 (1994)

    Article  ADS  Google Scholar 

  • P. Farkašovský, Eur. Phys. J. B 20, 209 (2001)

    ADS  Google Scholar 

  • H. Čenčariková, P. Farkašovský, Int. J. Mod. Phys. B 18, 357 (2004)

    Google Scholar 

  • V.J. Emery, S.A. Kivelson, H.Q. Lin, Phys. Rev. Lett. 64, 475 (1990); L.P. Pryadko, S.A. Kivelson, D.W. Hone, Phys. Rev. Lett. 80, 5651 (1998); S.R. White, D.J. Scalapino, Phys. Rev. Lett. 80, 1272 (1998); S.R. White, D.J. Scalapino, Phys. Rev. Lett. 81, 3227 (1998); S.R. White, D.J. Scalapino, Phys. Rev. B 60, R753 (1999); S.R. White, D.J. Scalapino, Phys. Rev. B 61, 6320 (2000); A.M. Oles, Acta Physica Polonica B 31, 2963 (2000); J. Frolich, D. Uettschi, J. Stat. Phys. 118, 973 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Farkašovský.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Farkašovský, P., Čenčariková, H. Ground states of the generalized Falicov-Kimball model in one and two dimensions. Eur. Phys. J. B 47, 517–526 (2005). https://doi.org/10.1140/epjb/e2005-00365-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2005-00365-2

Keywords

Navigation