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Quantum Scaling in Many-Body Systems

Quantum Scaling in Many-Body Systems
An Approach to Quantum Phase Transitions

2nd Edition

$69.99 (P)

  • Date Published: April 2017
  • availability: In stock
  • format: Hardback
  • isbn: 9781107150256

$ 69.99 (P)
Hardback

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  • Quantum phase transitions are strongly relevant in a number of fields, ranging from condensed matter to cold atom physics and quantum field theory. This book, now in its second edition, approaches the problem of quantum phase transitions from a new and unifying perspective. Topics addressed include the concepts of scale and time invariance and their significance for quantum criticality, as well as brand new chapters on superfluid and superconductor quantum critical points, and quantum first order transitions. The renormalisation group in real and momentum space is also established as the proper language to describe the behaviour of systems close to a quantum phase transition. These phenomena introduce a number of theoretical challenges which are of major importance for driving new experiments. Being strongly motivated and oriented towards understanding experimental results, this is an excellent text for graduates, as well as theorists, experimentalists and those with an interest in quantum criticality.

    • Provides a new perspective on a range of topics
    • An experimental focus means it is suitable for a wide audience, from graduates to experimentalists
    • Includes several new topics, such as topological quantum phase transitions, which have never been approached in books from the proposed perspective
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    Product details

    • Edition: 2nd Edition
    • Date Published: April 2017
    • format: Hardback
    • isbn: 9781107150256
    • length: 246 pages
    • dimensions: 254 x 179 x 15 mm
    • weight: 0.64kg
    • contains: 39 b/w illus. 2 tables
    • availability: In stock
  • Table of Contents

    Preface
    1. Scaling theory of quantum critical phenomena
    2. Landau and Gaussian theories
    3. Real space renormalization group approach
    4. Renormalisation group: the expansion
    5. Quantum phase transitions
    6. Heavy fermions
    7. A microscopic model for heavy fermions
    8. Metal and superuid-insulator transitions
    9. Density-driven metal-insulator transitions
    10. Mott transitions
    11. The non-linear sigma model
    12. Superconductor quantum critical points
    13. Topological quantum phase transitions
    14. Fluctuation-induced quantum phase transitions
    15. Scaling theory of first order quantum phase transitions
    Appendix 1. Green's functions
    References
    Index.

  • Author

    Mucio Continentino, Centro Brasileiro de Pesquisas Físicas, Brazil
    Mucio Continentino is a Professor at Centro Brasileiro de Pesquisas Físicas, Brazil, and is a member of the Brazilian Academy of Sciences and Fellow of Conselho Nacional de Desenvolvimento Cientifico e Technológico (CNPq), Brazil. His research interests are in condensed matter physics, and in particular that of strongly correlated electronic systems and quantum criticality.

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