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Look Inside Bosonization and Strongly Correlated Systems

Bosonization and Strongly Correlated Systems

$62.99 (C)

  • Date Published: December 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521617192

$ 62.99 (C)

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About the Authors
  • This volume provides a detailed account of bosonization. This important technique represents one of the most powerful nonperturbative approaches to many-body systems currently available. The first part of the book examines the technical aspects of bosonization. Topics include one-dimensional fermions, the Gaussian model, the structure of Hilbert space in conformal theories, Bose-Einstein condensation in two dimensions, non-Abelian bosonization, and the Ising and WZNW models. The second part presents applications of the bosonization technique to realistic models including the Tomonaga-Luttinger liquid, spin liquids in one dimension and the spin-1/2 Heisenberg chain with alternating exchange. The third part addresses the problems of quantum impurities. Chapters cover potential scattering, the X-ray edge problem, impurities in Tomonaga-Luttinger liquids and the multi-channel Kondo problem. This book will be an excellent reference for researchers and graduate students working in theoretical physics, condensed matter physics and field theory.

    • Topic of considerable interest
    • Leading authors
    • Contains interesting sketches of leading figures in the field, many exercises included
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    Product details

    • Date Published: December 2004
    • format: Paperback
    • isbn: 9780521617192
    • length: 448 pages
    • dimensions: 246 x 189 x 23 mm
    • weight: 0.8kg
    • contains: 90 b/w illus. 3 tables
    • availability: Available
  • Table of Contents

    Part I. Technical Aspects of Bosonization:
    1. A simple case of Bose-Fermi equivalence: Jordan-Wigner transformation
    2. One-dimensional fermions. States near the Fermi points
    3. Gaussian model. Lagrangian formulation
    4. Conformal symmetry and finite size effects
    5. Virasoro algebra
    6. Structure of Hilbert space in conformal theories
    7. Current (Kac-Moody) algebras: the first assault
    8. Relevant and irrelevant fields
    9. Bose-Einstein condensation in two dimensions
    Beresinskii-Kosterlitz-Thouless transition
    10. The sine-Gordon model
    11. Spin S=1/2 Heisenberg-Ising chain
    12. Ising model
    13. More about WZNW model
    14. Non-Abelian bosonization
    Part II. Application of the Bosonization Technique to Physical Models in (1+1)-Dimensions:
    15. Interacting fermions with spin
    16. Spin-1/2 Tomonaga-Luttinger liquid
    17. Instabilities of Tomonaga-Luttinger liquid
    18. Interacting fermions with broken spin rotational symmetry
    19. What happens with Tomonaga-Luttinger liquid in three dimensions
    20. Two weakly coupled Tomonaga-Luttinger liquids
    spinless case
    21. Spin liquids in one dimension: example of spin-ladders
    22. Spin-1/2 Heisenberg chain with alternating exchange
    23. Superconductivity in a doped spin liquid
    24. Edge states in quantum Hall effect
    Part III. Single Impurity Problems:
    25. Potential scattering
    26. X-ray edge problem (Fermi liquids)
    27. Impurities in Tomonaga-Luttinger liquid
    28. Multi-channel Kondo problem
    General Bibliography

  • Authors

    Alexander O. Gogolin, Imperial College of Science, Technology and Medicine, London

    Alexander A. Nersesyan, Tbilisi Institute of Physics, Georgia

    Alexei M. Tsvelik, University of Oxford

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