%0 Journal Article
%T Molecule Formation and the Farey Tree in the One-Dimensional Falicov-Kimball Model
%A C. Gruber
%A D. Ueltschi
%A J. J£żdrzejewski
%J Physics
%D 1993
%I arXiv
%R 10.1007/BF02188658
%X 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 non--neutral 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.
%U http://arxiv.org/abs/cond-mat/9311015v1