Book contents
- Frontmatter
- Dedication
- Contents
- Foreword
- Preface
- Acknowledgements
- 1. Quantum Hall Effect
- 2. Symmetry and Topology
- 3. Topology in One-Dimensional (1D) and Quasi-1D Models
- 4. Quantum Hall Effect in Graphene
- 5. Graphene as a Topological Insulator: Anomalous Hall Effect
- 6. Fractional Quantum Hall Effect
- Epilogue
- Bibliography
- Index
5. - Graphene as a Topological Insulator: Anomalous Hall Effect
Published online by Cambridge University Press: 31 August 2024
- Frontmatter
- Dedication
- Contents
- Foreword
- Preface
- Acknowledgements
- 1. Quantum Hall Effect
- 2. Symmetry and Topology
- 3. Topology in One-Dimensional (1D) and Quasi-1D Models
- 4. Quantum Hall Effect in Graphene
- 5. Graphene as a Topological Insulator: Anomalous Hall Effect
- 6. Fractional Quantum Hall Effect
- Epilogue
- Bibliography
- Index
Summary
Introduction
Having studied a prototype model Hamiltonian in one-dimensional (1D), we turn our focus towards two-dimensional (2D), now with the lens on graphene. Particularly, we shall explore whether graphene possesses the credibility of becoming a topological insulator. That may happen, provided by some means, we are able to open a spectral gap at the Dirac cones. Since a non-zero Berry phase can be a smoking gun for non-trivial properties, let us first look at the Berry phase of graphene.
- Type
- Chapter
- Information
- Quantum Hall EffectThe First Topological Insulator, pp. 133 - 172Publisher: Cambridge University PressPrint publication year: 2024