Molecule Formation and the Farey Tree in the One-Dimensional Falicov-Kimball Model

Details Molecule Formation and the Farey Tree in the One-Dimensional Falicov-Kimball Model Molecule Formation and the Farey Tree in the One-Dimensional Falicov-Kimball Model

1993-11-08

arxiv.org/abs/cond-mat/9311015v1

Physics

Condensed Matter

LaTeX file, 38 pages, postscript figures (not included) are available by request

Scientific paper

10.1007/BF02188658

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.

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