Mucio A. Continentino, Quantum Scaling in Many-Body Systems

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[size=120%]Quantum Scaling in Many-Body Systems
By Mucio A. Continentino

• Publisher:                World Scientific Publishing Company
• Number Of Pages:   188
• Publication Date:     2001-01-15
• ISBN-10 / ASIN:     9810243898
• ISBN-13 / EAN:       9789810243890

Product Description:
This book on quantum phase transitions has been written by one ofthe pioneers in the application of scaling ideas to many-body systems -a new and exciting subject that has relevance to many areas ofcondensed matter and theoretical physics. One of the few books on thesubject, it emphasizes strongly correlated electronic systems. Althoughdealing with complex problems in statistical mechanics, it does notlose sight of the experiments and the actual physical systems whichmotivate the theoretical work. The book starts by presenting thescaling theory of quantum critical phenomena. Critical exponents fordifferent systems are calculated using both the momentum space and realspace renormalization group approaches. The former is developed withoutthe use of Feynman diagrams, allowing nonspecialists to fullyappreciate the underlying physics of this method. The case of heavyfermions as an example of systems close to a zero temperature phasetransition is presented and discussed in detail. This is also the caseof non-Fermi liquid behaviour 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 phasetransitions, in particular those which occur due to afluctuation-induced mechanism.


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