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

J. Jȩdrzejewski, J. Lach and R. Łẏwa

Physica A: Statistical Mechanics and its Applications, 1989, vol. 154, issue 3, 529-543

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.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:154:y:1989:i:3:p:529-543

DOI: 10.1016/0378-4371(89)90263-X

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