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Ground state properties of the spinless Falicov-Kimball model: Crystallization and metal-insulator transitions off the hole-particle symmetry point

Author

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  • Jȩdrzejewski, J.
  • Lach, J.
  • Łẏwa, R.

Abstract

Properties of grounds states of an itinerant electron model (which can be regarded as the one-band, spinless Falicov-Kimball model) beyond the hole-particle symmetry point are studied. The underlying lattice is chosen to be a square lattice. Using exact and numerical arguments it is shown that when the density of band electrons is varied different sorts of periodic configurations of localized particles (f-electrons) minimize the energy. The one- particle densities of states of the band electrons corresponding to these configurations are presented. The system can be a metal or an insulator accordingly. Moreover, for some densities of band electrons a metal-insulator transition, driven by the unique parameter of the system, takes place. The importance of many-body effects is revealed.

Suggested Citation

  • Jȩdrzejewski, J. & Lach, J. & Łẏwa, R., 1989. "Ground state properties of the spinless Falicov-Kimball model: Crystallization and metal-insulator transitions off the hole-particle symmetry point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(3), pages 529-543.
    • Handle: RePEc:eee:phsmap:v:154:y:1989:i:3:p:529-543
    DOI: 10.1016/0378-4371(89)90263-X
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    References listed on IDEAS

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    1. Kimball, Warren F., 1969. "“Beggar My Neighbor”: America and the British Interim Finance Crisis, 1940–1941," The Journal of Economic History, Cambridge University Press, vol. 29(4), pages 758-772, December.
    2. Hartmann, John & Korn, Granino A. & Maybach, Richard L., 1961. "Low-cost triangle-integration multipliers for analog computers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 3(4), pages 167-172.
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