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
12 - Dirac Materials and Dirac Fermions
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
Dirac materials and Dirac fermions are presented. Graphene, with its Dirac points and cones, and the Dirac fermion Hamiltonian in the vicinity of the K-points are described. Time-reversal symmetry-breaking Chern insulators, with special focus on Haldane’s model, are presented. The quantum spin Hall effect, as manifest in the graphene-like model of Kane–Mele, with strong spin–orbit (SO) coupling, is outlined. A detailed description of Weyl semimetals is given.
- Type
- Chapter
- Information
- Advanced Quantum Condensed Matter PhysicsOne-Body, Many-Body, and Topological Perspectives, pp. 331 - 372Publisher: Cambridge University PressPrint publication year: 2020