# Molecule formation and the Farey tree in the one-dimensional Falicov-Kimball model

@article{Gruber1993MoleculeFA, title={Molecule formation and the Farey tree in the one-dimensional Falicov-Kimball model}, author={Ch. Gruber and Daniel Ueltschi and Janusz Jȩdrzejewski}, journal={Journal of Statistical Physics}, year={1993}, volume={76}, pages={125-157} }

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…

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## 36 Citations

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Abstract.A systematic study of ground-state properties of the three-dimensional
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