Canonical phase diagrams of the 1D Falicov-Kimball model at T = 0

Z. Gajek, J. Jȩdrzejewski and R. Lemański

Physica A: Statistical Mechanics and its Applications, 1996, vol. 223, issue 1, 175-192

Abstract: The Falicov-Kimball model of spinless quantum electrons hopping on a 1-dimensional lattice and of immobile classical ions occupying some lattice sites, with only intrasite coupling between those particles, have been studied at zero temperature by means of well-controlled numerical procedures. For selected values of the unique coupling parameter U the restricted phase diagrams (based on all the periodic configurations of localized particles (ions) with period not greater than 16 lattice constants, typically) have been constructed in the grand-canonical ensemble. Then these diagrams have been translated into the canonical ensemble. Compared to the diagrams obtained in other studies our ones contain more details, in particular they give better insight into the way the mixtures of periodic phases are formed. Our study has revealed several families of new characteristic phases like the generalized most homogeneous and the generalized crenel phases, a first example of a structural phase transition and a tendency to build up an additional symmetry — the hole-particle symmetry with respect to the ions (electrons) only, as U decreases.

Keywords: Interacting fermions; Spinless Falicov-Kimball model; Restricted canonical phase diagrams; Crystallization; Generalized most homogeneous phases; Metal-insulator transitions; Structural transitions (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:223:y:1996:i:1:p:175-192

DOI: 10.1016/0378-4371(95)00302-9

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