Bosonization and strongly correlated systems /
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| Author / Creator: | Gogolin, A. O. (Alexander Olegovich), 1965- |
|---|---|
| Imprint: | Cambridge, UK ; New York : Cambridge University Press, 1998. |
| Description: | xxii, 423 p. : ill. ; 26 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/3665256 |
Table of Contents:
- Preface
- Acknowledgements
- 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
- Index
