Strongly Correlated Magnetic and Superconducting Systems, Softcover reprint of the original 1st ed. 1997 Proceedings of the El Escorial Summer School Held in Madrid, Spain, 15-19 July 1996 Lecture Notes in Physics Series, Vol. 478

This volume, intended as a contribution to the 10th birthday of high Tc-superconductivity, conveys the essential ideas of the field and addresses researchers as well as graduate students. A special feature is the pedagogical treatment of a variety of modern computational methods to deal with non-pertubative effects in strongly correlated systems. Among the topics treated are the Hubbard models, real space renormalization group methods, quantum phase transitions, the non-linear sigma model, spin ladders and layers, and the quantum Hall effect.

An introduction to the Hubbard model.- A quantum critical trio: Solvable models of finite temperature crossovers near quantum phase transitions.- Notes on the density matrix renormalization group; Applications to ladder systems.- An introduction to quantum monte carlo methods.- Coupled Luttinger liquids.- On the application of the Non-linear sigma model to spin chains and spin ladders.- Density matrix and renormalization for classical lattice models.- Real-space renormalization group methods applied to quantum lattice hamiltonians.- A critical view of the real-space renormalization group method applied to the hubbard model.- Quantum dissipative systems.- Impurity effects in quantum wires.- Skyrmions in the quantum hall effect.- Photoemission bands in systems of strongly correlated electrons.- Van hove scenario of high-T c superconductivity.