• Quantum Hall Effect on the lattice and Dirac Hamiltonian

  • Introduction: stacking wires
  • Pairs of chiral edges in a 1D wire
  • QHE without a magnetic field
  • Dirac equation at the phase transition
  • Conclusion: Quantum Hall Effect on the lattice and Dirac Hamiltonian

• Haldane model, Berry curvature, and Chern number

  • Introduction to Haldane model, Berry curvature, and Chern number
  • Dirac cones in graphene
  • Discrete symmetries of graphene
  • Making graphene topological
  • Pumping in terms of Berry phase
  • Compact form of the Chern number as Berry curvature
  • Gap closings are sources of Berry curvature
  • Summary: extending the model to spinful electrons and photons