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Ground state properties of a spinless Falicov-Kimball model; additional features

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Zeitschrift für Physik B Condensed Matter

Abstract

We have studied some energetic and structural ground state properties of a spinless Falicov-Kimball model. Using a method based on “Tchebycheff-Markoff inequalities”, we have calculated sharp upper and lower bounds for the ground state energy. These calculations lead to rigorous results for a special range of parameters, where we are able to give the exactf-level occupation pattern for a square lattice. The results for the “symmetric” case, where a superstructure occurs leading to a metal-insulator transition, have already been published. In this paper we present some additional results also for the “unsymmetric case” and study valence-transitions for fixed particle-number.

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Authors and Affiliations

  1. Institut für Physik, Universität Dortmund, Postfach 500500, D-4600, Dortmund 50, Federal Republic of Germany

    U. Brandt & R. Schmidt

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  1. U. Brandt
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  2. R. Schmidt
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Brandt, U., Schmidt, R. Ground state properties of a spinless Falicov-Kimball model; additional features. Z. Physik B - Condensed Matter 67, 43–51 (1987). https://doi.org/10.1007/BF01307306

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  • DOI: https://doi.org/10.1007/BF01307306

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