Quantum Condensed Matter

Preliminaries 

1. intro

2. Specific heat, Dulong-Petit law, Einstein's & Debye's model 

3. Drude model

4. Sommerfeld's model of free electrons

   1. Correction to the specfic heat calculation

Toy model - The one-dimensional crystal

1. 1D toy model for lattice vibrations

2. Electrons in the 1D lattice
   (Bloch theorem, nearly free electrons and the tight-binding approxiamtion)

Lattices

1. Lattices in real space and Bravais lattices

2. Reciprocal lattices and the Brillouin zone

3. X-ray/Neutron scattering 

4. Phonons of the 2D triangular crystal

5. comments

Electrons in a magnetic and electric field

1. Semiclassical motion of electrons, quantum oscillations and Boltzmann's equation

Effects of interaction 

1. The Hartree-Fock equations 

2. Thomas-Fermi screening 

3. Hartree-Fock theory with spin and the Stoner instability 

4. Mott insulators 

5. Superconductivity