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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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PUBLISHER: Cambridge University Press
ISBN-13: 9780521617192
ISBN-10: 0521617197