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It has become increasingly evident that strong correlations between electrons are an essential, unifying factor in a range of phenomena encountered in solid state physics, such as high temperature superconductivity, colossal magnetoresistance, the quantum Hall effect, heavy fermion metals and Coulomb blockade in single-electron transistors. A new emergent paradigm - non-Fermi liquid behaviour - is in a number of systems coming to replace the Fermi liquid paradigm. Despite major achievements, the study of strongly correlated systems is still in its infancy. Anomalous electron properties have been studied in some generic models of correlated electrons, such as the Hubbard and t-J models, Anderson and Kondo impurity models, and their lattice equivalents. Powerful numerical methods for studying many-body models, including the approximate techniques of many-body theory and exact results in low and high dimensional systems, are providing new insights, all of which are providing convincing evidence for the breakdown of the Fermi liquid concept. This book focuses on several major, open questions in the theory of anomalous metals with correlated electrons, complementing theoretical advances with the latest experimental results on related materials, all presented by leaders in the field. The main emphasis is on the physics of cuprates and high temperature superconductors, charge- and spin-ordering and fluctuations, manganites and colossal magnetoresistance, low-dimensional systems and transport, Mott-Hubbard transition and infinite dimensional systems, and the quantum Hall effect.
