Abstract The Falicov-Kimball model was introduced in 1969 as a statistical model for metal-
insulator transitions; it includes itinerant and localized electrons that mutually interact with a …

Over the last 25 years, dynamical mean-field theory (DMFT) has emerged as one of the most
powerful new developments in many-body physics. Written by one of the key researchers in …

In this review we present results of our theoretical study of charge and spin ordering in
strongly correlated electron systems obtained within various generalizations of the Falicov …

Using exact numerical techniques, we investigate the nature of excitonic (electron-hole)
bound states and the development of exciton coherence in the one-dimensional half-filled …

The observation of charge stripe order in the doped nickelate and cuprate materials has
motivated much theoretical effort to understand the underlying mechanism of the stripe …

Can phase separation be induced by strong electron correlations? We present a theorem
that affirmatively answers this question in the Falicov-Kimball model away from half filling, for …

The development of methods of quantum statistical mechanics is considered in light of their
applications to quantum solid-state theory. We discuss fundamental problems of the physics …

The Falicov–Kimball model is a simple quantum lattice model that describes light and heavy
electrons interacting with an on-site repulsion; alternatively, it is a model of itinerant …

Abstract The spinless Falicov-Kimball model on a two-dimensional square lattice is studied
using the method of restricted phase diagrams constructed in the grand canonical …

Abstract 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 …