Charge Physics of the Falicov-Kimball Model

The charge-ordered phases of the one-dimensional Falicov-Kimball model are examined using a non-perturbative representation of the itinerant electrons. An effective model allows us to understand the competition between phase separation and long-range order. We construct a ground-state phase diagram for partial band-filling. The addition of an on-site hybridization potential is found to significantly alter the form of the phase diagram, with the appearance of mixed-valence phenomena.