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
7 - Dimensionality, Susceptibility, and Instabilities
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
Explains the effect of dimensionality on electronic susceptibilities, including nesting effects. It describes the onset of instabilities, as manifest in the Peierls phenomenon, and delineates their emergent order parameters. It also introduces the idea of a Kohn anomaly, and derives the giant Kohn anomaly as a consequence of the one-dimensional Peierls instability.
- Type
- Chapter
- Information
- Advanced Quantum Condensed Matter PhysicsOne-Body, Many-Body, and Topological Perspectives, pp. 200 - 216Publisher: Cambridge University PressPrint publication year: 2020