Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part One One-Electron Theory
- Part Two Topological Phases
- Part Three Many-Body Physics
- 13 Many-Body Physics and Second Quantization
- 14 The Interacting Electron Gas
- 15 Green Functions for Many-Body Systems and Feynman Diagrams
- 16 Path Integrals
- 17 Boson Systems: Bose–Einstein Condensation and Superfluidity
- 18 Landau Fermi Liquid Theory
- 19 Non-Fermi Liquids, the Luttinger Liquid, and Bosonization
- 20 Electron–Phonon Interactions
- 21 Microscopic Theory of Conventional Superconductivity
- 22 Quantum Theory of Magnetism: Exchange Coupling Mechanisms
- 23 Quantum Theory of Magnetism: Magnetic Insulator Ground States and Spin-Wave Excitations
- 24 Quantum Theory of Magnetism: Itinerant-Electron Systems and the Kondo Effect
- References
- Index
19 - Non-Fermi Liquids, the Luttinger Liquid, and Bosonization
from Part Three - Many-Body Physics
Published online by Cambridge University Press: 06 March 2020
- Frontmatter
- Dedication
- Contents
- Preface
- Part One One-Electron Theory
- Part Two Topological Phases
- Part Three Many-Body Physics
- 13 Many-Body Physics and Second Quantization
- 14 The Interacting Electron Gas
- 15 Green Functions for Many-Body Systems and Feynman Diagrams
- 16 Path Integrals
- 17 Boson Systems: Bose–Einstein Condensation and Superfluidity
- 18 Landau Fermi Liquid Theory
- 19 Non-Fermi Liquids, the Luttinger Liquid, and Bosonization
- 20 Electron–Phonon Interactions
- 21 Microscopic Theory of Conventional Superconductivity
- 22 Quantum Theory of Magnetism: Exchange Coupling Mechanisms
- 23 Quantum Theory of Magnetism: Magnetic Insulator Ground States and Spin-Wave Excitations
- 24 Quantum Theory of Magnetism: Itinerant-Electron Systems and the Kondo Effect
- References
- Index
Summary
Treats non-Fermi liquids and quantum critical points and describes Luttinger liquid theories. Bosonization of the noninteracting and interacting Tomonaga–Luttinger models are derived. Bosonization of the single particle operators is establshed and the corresponding Green functions derived.
- Type
- Chapter
- Information
- Advanced Quantum Condensed Matter PhysicsOne-Body, Many-Body, and Topological Perspectives, pp. 608 - 643Publisher: Cambridge University PressPrint publication year: 2020