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
6 - Phonons and Lattice Dynamics
from Part One - One-Electron Theory
Published online by Cambridge University Press: 06 March 2020
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
Summary
Presents a detailed account of phonons, lattice dynamics and experimental techniques for measuring phonon dispersions. It derives the electron-phonon coupling in terms of symmetry-adapted (or normal) mode coordinates. The electronic contributions to phonon energies are developed in terms of the density-density response function. The developed expressions are then pedagogically used to construct phenomenological models for phonons in semiconductors and insulators "pseudocharge models”. The different experimental probes used in measuring the static and dynamic structure factors of solids are introduced.
Keywords
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- Chapter
- Information
- Advanced Quantum Condensed Matter PhysicsOne-Body, Many-Body, and Topological Perspectives, pp. 166 - 199Publisher: Cambridge University PressPrint publication year: 2020