Title
Cooperative Phenomena in Strongly Correlated Systems: Numerical Studies of Collective Phenomena in Solids,Used
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In this book we present results of our theoretical study of cooperative phenomena in strongly correlated electron systems obtained within various generalizations of the FalicovKimball model. The primary goal of this study was to identify crucial interactions that lead to the stabilization of the specific cooperative phenomenon, and then try to elaborate its comprehensive microscopic description. The main attention is devoted to a discussion of valence and metalinsulator transitions, formation of charge and spin ordering, electronic ferroelectricity, itinerant ferromagmetism and mechanisms leading to their stabilization. Among the major mechanisms we examine the effect of local and nonlocal Coulomb interaction between localized and itinerant electrons, local and nonlocal hybridization, longrange and correlated hopping of itinerant electrons and spindependent interaction between localized and itinerant electrons, both for zero and nonzero temperatures, as well as for doped and undoped systems. Finally, the relevance of resultant solutions for a description of rareearth and transitionmetal compounds is discussed.
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