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1993 | 84 | 2 | 327-344
Article title

Global Structure of the Falicov-Kimball Model Ground State Phase Diagram

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EN
Abstracts
EN
The two-state spinless Falicov-Kimball model on a one-dimensional lattice is studied by means of well-controlled numerical procedures. Restricted phase diagrams in the grand-canonical ensemble and at zero temperature are constructed. The evolution of these phase diagrams, as the interaction parameter U is varied, including the band structures corresponding to configurations of localized particles (ions) and densities of mobile particles (electrons), is monitored. The changes observed enable us to draw conclusions for the global structure of the phase diagram and to make a qualitative plot of such a diagram. Particular attention is paid to the possibility of conductor-insulator transitions. The results obtained suggest that the system is an insulator for all U only if the electron and ion densities ρ_{e},ρ_{i} satisfy the conditions: ρ_{e} + ρ_{i} = 1, |ρ_{i} - 1/2| ≤ δ < 1/2. For all other pairs (ρ_{e},ρ_{i}) there is a critical U at which the system undergoes a conductor-insulator transition.
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Contributors
author
  • Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 937, 50-950 Wrocław, Poland
author
  • Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 937, 50-950 Wrocław, Poland
  • Institute of Theoretical Physics, University of Wrocław, Pl. Maxa Borna 9, 50-204 Wrocław, Poland
References
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Publication order reference
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bwmeta1.element.bwnjournal-article-appv84z213kz
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