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Quantum Phase Transitions

2nd Edition

$76.00 ( ) USD

  • Date Published: May 2011
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact eBooks.com for availability.
  • format: Adobe eBook Reader
  • isbn: 9781139064583

$ 76.00 USD ( )
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About the Authors
  • Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.

    • Second edition of the original book to describe the physical properties of quantum materials near critical points with long-range many-body quantum entanglement
    • Updated with several new chapters covering important recent advances and a new section suitable for an introductory course on quantum phase transitions
    • Introduces quantum phase transitions and quantum field theory using simple physical models, avoiding confusing formal concepts
    Read more

    Reviews & endorsements

    Of the First Edition:
    "Taken as a whole, this book is something of a theoretical masterpiece. With its tight organization, the book leads the determined (and theoretically inclined) reader on a tour encompassing some of the most challenging yet beautiful topics in contemporary theoretical physics...Virtually every chapter contains a theoretical 'gem'...The equations are manipulated with flair and elegance that are testimony to Sachdev's talent as one of the world's premier theorists."
    Physics Today

    "With this very useful pedagogical supplement, I expect this second incarnation of Sachdev's volume to remain an indispensable reference and crucial tool for researchers in this field, and an invaluable resource for instructors preparing their advanced graduate courses related to this topic. Sachdev's revised and expanded textbook contains a wealth of information, both on quantum-critical phenomena and the mathematical tools needed to describe them theoretically, and will certainly remain a prominent if not the standard reference to the subject for both novices and experienced active researchers in the field."
    Uwe C. Tauber, Mathematical Reviews

    "The book is well written from a pedagogical point of view and hence suitable for non-specialists. On the other hand, it can be used (some chapters) by graduate students as well."
    Farruh Mukhamedov (Kuantan)

    "… a timely and well-informed update to the subject and provides graduate and advanced students with enough material to understand and tackle these very interesting systems."
    Contemporary Physics

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    Product details

    • Edition: 2nd Edition
    • Date Published: May 2011
    • format: Adobe eBook Reader
    • isbn: 9781139064583
    • contains: 104 b/w illus. 20 exercises
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact eBooks.com for availability.
  • Table of Contents

    Part I. Introduction:
    1. Basic concepts
    2. Overview
    Part II. A First Course:
    3. Classical phase transitions
    4. The renormalization group
    5. The quantum Ising model
    6. The quantum rotor model
    7. Correlations, susceptibilities, and the quantum critical point
    8. Broken symmetries
    9. Boson Hubbard model
    Part III. Non-zero Temperatures:
    10. The Ising chain in a transverse field
    11. Quantum rotor models: large-N limit
    12. The d = 1, O(N ≥ 3) rotor models
    13. The d = 2, O(N ≥ 3) rotor models
    14. Physics close to and above the upper-critical dimension
    15. Transport in d = 2
    Part IV. Other Models:
    16. Dilute Fermi and Bose gases
    17. Phase transitions of Dirac fermions
    18. Fermi liquids, and their phase transitions
    19. Heisenberg spins: ferromagnets and antiferromagnets
    20. Spin chains: bosonization
    21. Magnetic ordering transitions of disordered systems
    22. Quantum spin glasses
    References
    Index.

  • Author

    Subir Sachdev, Harvard University, Massachusetts
    Subir Sachdev is Professor of Physics at Harvard University and holds a Distinguished Research Chair at the Perimeter Institute for Theoretical Physics. His research has focused on a variety of quantum materials and especially on their quantum phase transitions.

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