Official description

1. Introduction to Crystalline Solids:
   - Broken symmetry and elementary excitations
   - Periodic lattices and reciprocal lattices
2. Electrons in Crystals
3. Electron band theory
   - Free electron model
   - Nearly free electron model
   - Tight binding
   - Properties of materials based on energy bands
4. Lattice vibrations:
   - classical normal modes of vibration: phonons
   - Properties based on phonon dispersion relations
5. Electron dynamics in Crystals:
   - Wannier functions
   - Semiclassical electron dynamics
   - Motion in electric and magnetic fields
   - Effective mass tensor
   - Berry phase and Berry curvature
6. Electron-electron interactions:
   - Hartree-Fock theory
   - Exchange and correlation
   - Density functional theory and applications