Item description for Quantum Scaling in Many-Body Systems by Mucio A. Continentino...
This book on quantum phase transitions has been written by one of the pioneers in the application of scaling ideas to many-body systems - a new and exciting subject that has relevance to many areas of condensed matter and theoretical physics. One of the few books on the subject, it emphasizes strongly correlated electronic systems. Although dealing with complex problems in statistical mechanics, it does not lose sight of the experiments and the actual physical systems which motivate the theoretical work.
The book starts by presenting the scaling theory of quantum critical phenomena. Critical exponents for different systems are calculated using both the momentum space and real space renormalization group approaches. The former is developed without the use of Feynman diagrams, allowing nonspecialists to fully appreciate the underlying physics of this method. The case of heavy fermions as an example of systems close to a zero temperature phase transition is presented and discussed in detail. This is also the case of non-Fermi liquid behavior associated with a quantum critical point. Metal-insulator transitions are discussed within the scaling approach. The book ends with a discussion on first order quantum phase transitions, in particular those which occur due to a fluctuation-induced mechanism.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 0.75" Width: 6.25" Height: 8.5" Weight: 0.95 lbs.
Release Date Jan 15, 2001
Publisher World Scientific Publishing Company
ISBN 9810243898 ISBN13 9789810243890
Reviews - What do customers think about Quantum Scaling in Many-Body Systems?
nice intro Sep 7, 2009
I didnt particularly enjoy sachdev's book on QPT. He has this really nice course website which makes you calculate stuff, whereas I found the text to have ~3ish chapters where i really got dirty with some model to understand the physics and the rest was like overviews of other work which doesnt give me the hands-on practice i wanted. This book was a nice compliment, which I would probably have preferred to start with. It sets the stage for what ive heard at conferences for heavy fermion quantum criticality and goes through the HMM paradigm. The question for me is what will remain true in 50 years. still as a contemporary introduction i would go with this book.