Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part One One-Electron Theory
- 1 Preliminaries
- 2 Electrons and Band Theory: Formalism in the One-Electron Approximation
- 3 Electrons and Band Theory: Methods of Energy-Band Calculations
- 4 Electrons and Band Theory: Effects of Spin–Orbit Interactions
- 5 Linear Response and the Dielectric Function
- 6 Phonons and Lattice Dynamics
- 7 Dimensionality, Susceptibility, and Instabilities
- Part Two Topological Phases
- Part Three Many-Body Physics
- References
- Index
5 - Linear Response and the Dielectric Function
from Part One - One-Electron Theory
Published online by Cambridge University Press: 06 March 2020
- Frontmatter
- Dedication
- Contents
- Preface
- Part One One-Electron Theory
- 1 Preliminaries
- 2 Electrons and Band Theory: Formalism in the One-Electron Approximation
- 3 Electrons and Band Theory: Methods of Energy-Band Calculations
- 4 Electrons and Band Theory: Effects of Spin–Orbit Interactions
- 5 Linear Response and the Dielectric Function
- 6 Phonons and Lattice Dynamics
- 7 Dimensionality, Susceptibility, and Instabilities
- Part Two Topological Phases
- Part Three Many-Body Physics
- References
- Index
Summary
Covers linear response from the one-electron viewpoint, including causality and the Kramers–Kronig relation. It develops the Kubo conductivity formula with special reference to the quantum Hall effect. The longitudinal and transverse dielectric functions are derived, and the ideas of intraband and interband, both direct and indirect, optical transitions are discussed.
Keywords
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- Chapter
- Information
- Advanced Quantum Condensed Matter PhysicsOne-Body, Many-Body, and Topological Perspectives, pp. 146 - 165Publisher: Cambridge University PressPrint publication year: 2020