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Ground-state properties of the Falicov-Kimball model in one and two dimensions

Author

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  • P. Farkašovský

    (Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 043 53 Košice, Slovakia)

Abstract

A new numerical method is used to study the ground-state properties of the spinless Falicov-Kimball model in one and two dimensions. The resultant solutions are used to examine the phase diagram of the model as well as possibilities for valence and metal-insulator transitions. In one dimension a comprehensive phase diagram of the model is presented. On the base of this phase diagram, the complete picture of valence and metal-insulator transitions is discussed. In two dimensions the structure of ground-state configurations is described for intermediate interactions between f and d electrons. In this region the phase separation and metal-insulator transitions are found at low f-electron concentrations. It is shown that valence transitions exhibit a staircase structure.

Suggested Citation

  • P. Farkašovský, 2001. "Ground-state properties of the Falicov-Kimball model in one and two dimensions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(2), pages 209-215, March.
    • Handle: RePEc:spr:eurphb:v:20:y:2001:i:2:d:10.1007_s100510170270
    DOI: 10.1007/s100510170270
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