New phases and structural phase transitions in the 1-D Falicov-Kimball model at T=0

The Falicov-Kimball model of spinless itinerant fermions and localized classical ions, on a one-dimensional lattice and at zero temperature, has been studied by means of restricted phase diagrams in the grand-canonical ensemble. Compared with earlier investigations a more efficient numerical procedure has been applied and consequently more precise phase diagrams have been obtained. For small and large values of the unique coupling parameter our study has confirmed the results obtained in other works; however for intermediate values we have found new kinds of periodic phases and structural phase transitions.