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Bosonization and Strongly Correlated Systems (Softcover)

Bosonization and Strongly Correlated Systems (Softcover)

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VERY GOOD: The book is in very good condition, with clean pages. There is a slight dent in the upper front portion of the spine and cover.

Product Details

From the back cover: "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-½ 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."

BRIEF CONTENTS

  • Preface
  • Acknowledgments
  • PART 1: 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 the 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 a Tomonaga-Luttinger liquid
    • 18 - Interacting fermions with broken spin rotational symmetry
    • 19 - What may happen with a 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 the quantum Hall effect
  • PART III: Single impurity problems
    • 25 - Potential scattering
    • 26 - X-ray edge problem (Fermi liquids)
    • 27 - Impurities in a Tomonaga-Luttinger liquid
    • 28 - Multi-channel Kondo problem
  • General bibliography
  • Index
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AUTHOR: Gogolin;A. O. and A. A. Nersesyan and A. M. Tsvelik

PUBLISHER: Cambridge University Press

ISBN-13: 9780521617192

ISBN-10: 0521617197

DATE: First paperback edition 2004
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Bosonization and Strongly Correlated Systems (Softcover)
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