Strongly Correlated Magnetic and Superconducting Systems: Proceedings of the El Escorial Summer School Held in Madrid, Spain, 15–19 July 1996

E. Ercolessi, G. Morandi, P. Pieri (auth.), Germán Sierra, Miguel A. Martín-Delgado (eds.)3540624767, 9783540624769

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.

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Table of contents :
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