1998/11/20 by Christian Gruber, Gruber, Christian
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9811299
18 pages, 6 figures, proceedings of Marseille Satellite Colloquium "Math. Results in Stat. Mechanics"
arxiv created 1998/11/20 · openalex publication_date 1998/11/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this review we present a biased review of the ground state properties of the Falicov-Kimball models in 1,2 and infinite dimensions, considering either fermions or hard-core bosons. In particular we want to show the very rich structure that these models exhibit and to point out the analogies and differences associated with the statistic of the quantum particles and the nature of the lattice (bipartite or not). The flux phase problem is also discussed.