Book contents
- The Physics of Graphene
- The Physics of Graphene
- Copyright page
- Dedication
- Contents
- Preface to the second edition
- Preface to the first edition
- 1 The electronic structure of ideal graphene
- 2 Electron states in a magnetic field
- 3 Quantum transport via evanescent waves
- 4 The Klein paradox and chiral tunneling
- 5 Edges, nanoribbons, and quantum dots
- 6 Point defects
- 7 Optics and response functions
- 8 The Coulomb problem
- 9 Crystal lattice dynamics, structure, and thermodynamics
- 10 Gauge fields and strain engineering
- 11 Scattering mechanisms and transport properties
- 12 Spin effects and magnetism
- 13 Graphene on hexagonal boron nitride
- 14 Twisted bilayer graphene
- 15 Many-body effects in graphene
- References
- Index
2 - Electron states in a magnetic field
Published online by Cambridge University Press: 24 May 2020
- The Physics of Graphene
- The Physics of Graphene
- Copyright page
- Dedication
- Contents
- Preface to the second edition
- Preface to the first edition
- 1 The electronic structure of ideal graphene
- 2 Electron states in a magnetic field
- 3 Quantum transport via evanescent waves
- 4 The Klein paradox and chiral tunneling
- 5 Edges, nanoribbons, and quantum dots
- 6 Point defects
- 7 Optics and response functions
- 8 The Coulomb problem
- 9 Crystal lattice dynamics, structure, and thermodynamics
- 10 Gauge fields and strain engineering
- 11 Scattering mechanisms and transport properties
- 12 Spin effects and magnetism
- 13 Graphene on hexagonal boron nitride
- 14 Twisted bilayer graphene
- 15 Many-body effects in graphene
- References
- Index
Summary
The chapter starts with the derivation of effective Hamiltonian for band electrons in magnetic field and continues with discussion of energy levels in magnetic field for massless Dirac fermions. The case of bilayer graphene is also considered. Special attention is paid to a formation of topologically protected zero-energy modes. Using band electrons in magnetic field as an example, a general concept of Berry phase is introduced. Magneto-oscillation effects for two-dimensional Dirac fermions are considered. Quantum Hall effect is discussed, via topological approach by Thouless and coworkers. At the end, we discuss electronic structure in the presence of crossed electric and magnetic fields and the effects of a smooth disorder on Landau levels for massless Dirac electrons.
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- The Physics of Graphene , pp. 24 - 62Publisher: Cambridge University PressPrint publication year: 2020
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