Skip to main content
SpringerLink
Log in

Ground state properties of the falicov-kimball model in the strong coupling limit

  • Papers
  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

We present some analytic results concerning the ground state of the one-dimensional Falicov-Kimball model in the strong coupling limit. Using the perturbation theory, we find: (i) The well-expected phase segregation takes place for ¦U¦→ ∞ (U is the interaction strength), (ii) For finiteU there exists the critical value of the interaction strengthU =U c, below which the segregated phase — an incoherent mixture of the empty and full lattices cannot be the ground state of the model. We give the analytical expression for this boundary. Finally, we discuss the phase diagram of the model for some special configuration of ions.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Falicov L. M. and Kimball J. C.: Phys. Rev. Lett.22 (1969) 997.

    Google Scholar 

  2. Hubbard J.: Proc. Roy. Soc. London Ser. A281 (1964) 401.

    Google Scholar 

  3. Kennedy T. and Lieb E. H.: Physica A138 (1986) 320.

    Google Scholar 

  4. Brandt U. and Schmidt R.: Z. Phys. B63 (1986) 45;67 (1987) 43.

    Google Scholar 

  5. Gruber C., Iwanski J., Jedrzejewski J., and Lemberger P.: Phys. Rev. B41 (1990) 2198.

    Google Scholar 

  6. Brandt U. and Mielsch C.: Z. Phys. B75 (1989) 365;79 (1990) 295.

    Google Scholar 

  7. Freericks J. K. and Falicov L. M.: Phys. Rev. B41 (1990) 2163.

    Google Scholar 

  8. Brandt U.: Journal of Low Temp Phys.84 (1991) 477.

    Google Scholar 

  9. Landau L. D. and Lifshitz E. M.: Quantum Mechanics. Pergamon Press, London, 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Experimental Physics, Slovak Acad. Sci., Watsonova 47, 04353, Košice, Slovak Republic

    Pavol Farkašovský & Ivan Baťko

Authors
  1. Pavol Farkašovský
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ivan Baťko
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Farkašovský, P., Baťko, I. Ground state properties of the falicov-kimball model in the strong coupling limit. Czech J Phys 43, 839–853 (1993). https://doi.org/10.1007/BF01589806

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01589806

Keywords

Search

Navigation