Abstract
The ground-state configurations of the one-dimensional Falicov-Kimball model are studied exactly with numerical calculations revealing unexpected effects for small interaction strength. In neutral systems we observe molecular formation, phase separation, and changes in the conducting properties; while in nonneutral systems the phase diagram exhibits Farey tree order (Aubry sequence) and a devil's staircase structure. Conjectures are presented for the boundary of the segregated domain and the general structure of the ground states.
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Dedicated to Prof. Philippe Choquard, on the occasion of his 65th birthday, and, by anticipation, in honor of his retirement.
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Gruber, C., Ueltschi, D. & Jędrzejewski, J. Molecule formation and the Farey tree in the one-dimensional Falicov-Kimball model. J Stat Phys 76, 125–157 (1994). https://doi.org/10.1007/BF02188658
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DOI: https://doi.org/10.1007/BF02188658