Interacting Electrons and Quantum Magnetism

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September 14, 2007

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Product Details

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Fndns. of Physics
“While there are numerous research monographs…, a simple text introducing budding researchers to the fertile methods has been lacking. Professor Auerbach’s book has been designed to fill this niche, and it is largely successful in this objective… An excellent feature is a set of exercises at the end of nearly every chapter, which not only lead the student through some of the mathematical steps left out of the text, but also addresses the ramifications of the concepts…. Auerbach’s book is an excellent textbook for graduate students starting research in condensed matter theory, and captures well the excitement and creative ferment of the field in recent times. The student who peruses this book with care will be rewarded with a firm grasp of several current techniques, and the discrimination necessary to apply them with sophistication”


Book Description
This book emphasizes the role that electron interactions play in the properties of condensed matter. It teaches the use of the powerful nonperturbative techniques that have become available in the last decades to discuss such topics as mixed valence systems, Kondo systems, heavy electrons, high-temperature copper oxide superconductors, the quantum Hall effect, and low-dimensional isotropic magnets. Mathematical derivations are self contained. Appendices provide standard many-body tools including second quantization, Grassmann variables, generating functionals, linear response, correlation functions, Fermi and Bose coherent-states path integrals, Matsubara representation, and the method of steepest descents. There are guided bibliographies and exercises at the end of each chapter.

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