1995/11/20 by C. Gruber, Nicolas Macris, Gruber, Ch. +5 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #High-pressure geophysics and materials #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.cond-mat/9511092
openalex publication_date 1995/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Falicov-Kimball model is a lattice model of itinerant spinless fermions ("electrons") interacting by an on-site potential with classical particles ("ions"). We continue the investigations of the crystalline ground states that appear for various filling of electrons and ions, for large coupling. We investigate the model for square as well as triangular lattices. New ground states are found and the effects of a magnetic flux on the structure of the phase diagram is studied. The flux phase problem where one has to find the optimal flux configurations and the nuclei configurations is also solved in some cases. Finaly we consider a model where the fermions are replaced by hard-core bosons. This model also has crystalline ground states. Therefore their existence does not require the Pauli principle, but only the on-site hard-core constraint for the itinerant particles.