• Dirac equation of the surface states, 3D Bernevig-Hughes-Zhang model

  • Introduction to Dirac equation of the surface states, 3D Bernevig-Hughes-Zhang model
  • Making 3D topological invariants out of 2D ones
  • BHZ model of a 3D topological insulator
  • Dirac surface states
  • Weak invariants
  • Quantum Hall conductance and the magneto-electric effect
  • Conclusion: integers, half-integers, and two types of electromagnetic response

• Experimental progress and candidate materials 2

  • Introduction: searching the periodic table for topological materials
  • Conductance of a 3D topological insulator
  • Landau levels
  • Spectroscopy of the surface of a 3D topological insulator
  • Quasiparticle interference (QPI)
  • The issue of bulk conductivity
  • Hexagonal warping
  • Outlook: from basic science to potential applications