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Exact results for the distribution of thef-level ground state occupation in the spinless Falicov-Kimball model

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Zeitschrift für Physik B Condensed Matter

Abstract

We present sharp upper and lower bounds for the ground state energy of the spinless Falicov-Kimball model, leading to rigorous results for a special choice of parameters. In this ‘symmetric’ case we are able to give the exactf-level occupation pattern for a square lattice. A superstructure occurs, leading to a metal-insulator transition.

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References

  1. Boppart, H., Wachter, P.: Phys. Rev. Lett.53, 1759 (1984)

    Google Scholar 

  2. Liu, S.H., Ho, K.-M.: Phys. Rev. B30, 3039 (1984)

    Google Scholar 

  3. Irkhin, V.Yu., Katsnelson, M.J.: J. Phys. C17, L699 (1984)

    Google Scholar 

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

    Google Scholar 

  5. Trias, A., Ramirez, R., Kiwi, M.: Phys. Rev. B19, 5877 (1979)

    Google Scholar 

  6. Einhorn, M.B., Blankenbecler, R.: Ann. Phys.67, 480 (1971)

    Google Scholar 

  7. Lopez, C., Yndurain, F., Yndurain, F.J.: J. Phys. C7, 61 (1974)

    Google Scholar 

  8. Yndurain, F., Yndurain, F.J.: J. Phys. C8, 434 (1975)

    Google Scholar 

  9. Brandt, U., Stolze, J.: Z. Phys. B43, 61 (1981)

    Google Scholar 

  10. Brandt, U.: Z. Phys. B53, 283 (1983)

    Google Scholar 

  11. Ruelle, D.: Statistical mechanics, p. 113. Amsterdam: W.A. Benjamin 1969

    Google Scholar 

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Authors and Affiliations

  1. Institut für Physik, Universität Dortmund, Otto-Hahn-Strasse, D-4600, Dortmund 50, Federal Republic of Germany

    U. Brandt & R. Schmidt

Authors
  1. U. Brandt
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  2. R. Schmidt
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Supported by Deutsche Forschungsgemeinschaft

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Brandt, U., Schmidt, R. Exact results for the distribution of thef-level ground state occupation in the spinless Falicov-Kimball model. Z. Physik B - Condensed Matter 63, 45–53 (1986). https://doi.org/10.1007/BF01312577

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  • DOI: https://doi.org/10.1007/BF01312577

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