Interacting Electrons and Quantum Magnetism (Graduate Texts in Contemporary Physics) [Hardcover]

Assa Auerbach (Author)

Book Description

ISBN-10: 0387942866 | ISBN-13: 978-0387942865 | Publication Date: September 2, 1994

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.

Editorial Reviews

Review

"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" -- Fndns. of Physics

Product Details

• Hardcover: 268 pages
• Publisher: Springer (September 2, 1994)
• Language: English
• ISBN-10: 0387942866
• ISBN-13: 978-0387942865
• Product Dimensions: 9.3 x 5.8 x 0.9 inches
• Shipping Weight: 1 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #1,395,191 in Books (See Top 100 in Books)

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1 of 1 people found the following review helpful:

5.0 out of 5 stars good magnetism starting point, May 4, 2006

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chicken head cut off "mcscientist" (Gainesville/Orsay France) - See all my reviews

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This review is from: Interacting Electrons and Quantum Magnetism (Graduate Texts in Contemporary Physics) (Hardcover)

I have to be honest and say that I have to spend time with this book to understand everything, but I think this is one of those books that's worth the effort. AFTER a many body class this book is an appropriate way to foray into magnetism. The first thing i'd do is prove eq 2.9 and read chapters 1-3, just read (having some companion text for this 'easier' material is useful here). Once you are beyond chapter 3 you can start to calculate the results yourself. Auerbach talks about the ferro- and antiferro- magnets and different spin representations, RVBs, order and disoder, etc. There is a discussion of the NLsM and some large-N methods. I found it helpful to pull out original references at times. At the end i think you gain perspective on quantitative tools employed in magnetism, but realise also that this book is a text and therefore an introduction to the field. In that sense, i think the point here is to get some basic principle and learn various methods to go apply to new problems. I dont know any other book like it.