Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part One One-Electron Theory
- Part Two Topological Phases
- 8 Topological Aspects of Condensed Matter Physics: A Historical Perspective
- 9 Topological Preliminaries
- 10 Berry-ology
- 11 Topological Aspects of Insulator Band Structure and Early Discoveries
- 12 Dirac Materials and Dirac Fermions
- Part Three Many-Body Physics
- References
- Index
10 - Berry-ology
from Part Two - Topological Phases
Published online by Cambridge University Press: 06 March 2020
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part One One-Electron Theory
- Part Two Topological Phases
- 8 Topological Aspects of Condensed Matter Physics: A Historical Perspective
- 9 Topological Preliminaries
- 10 Berry-ology
- 11 Topological Aspects of Insulator Band Structure and Early Discoveries
- 12 Dirac Materials and Dirac Fermions
- Part Three Many-Body Physics
- References
- Index
Summary
Describes Berry’s phase, connection, and curvature, and derives the Chern topological number. It presents two pedagogically important but distinct examples: a two-level system, with its concomitant “magnetic monopole," and the molecular Aharonov–Bohm effect, where the interplay between the quantum electronic andionic motions leads to fascinating topological manifestations.
- Type
- Chapter
- Information
- Advanced Quantum Condensed Matter PhysicsOne-Body, Many-Body, and Topological Perspectives, pp. 254 - 285Publisher: Cambridge University PressPrint publication year: 2020