Strongly Correlated Magnetic and Superconducting Systems: Proceedings of the El Escorial Summer School, Held in Madrid, Spain, 15-19 July 1996 (Lecture Notes in Physics)

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....Pages 1-32 A quantum critical trio: Solvable models of finite temperature crossovers near quantum phase transitions....Pages 33-87 Notes on the density matrix renormalization group; Applications to ladder systems....Pages 88-108 An introduction to quantum monte carlo methods....Pages 109-135 Coupled Luttinger liquids....Pages 136-136 On the application of the Non-linear sigma model to spin chains and spin ladders....Pages 137-166 Density matrix and renormalization for classical lattice models....Pages 167-183 Real-space renormalization group methods applied to quantum lattice hamiltonians....Pages 184-231 A critical view of the real-space renormalization group method applied to the hubbard model....Pages 232-248 Quantum dissipative systems....Pages 249-260 Impurity effects in quantum wires....Pages 261-274 Skyrmions in the quantum hall effect....Pages 275-283 Photoemission bands in systems of strongly correlated electrons....Pages 284-304 Van hove scenario of high- T c superconductivity....Pages 305-323 A study of strongly correlated magnetic and superconducting systems. It contains papers on subjects from introducing the Hubbard model to quantum dissipative systems.