Introduction to condensed matter physics

Prelude

0.0 Two atoms in proximity

Chapter 1 : Early models

1.1 Heat capacity
1.2 Thermal conductivity
1.3 Drude model : Electrons in metal
1.4 AC electrical condutivity, plasma oscillation
1.5 Sommerfeld theory of electron in metal

Chapter 2 : Periodic potential

2.1 Periodic arrangement of atoms in crystalline solids
2.2 Electron in periodic potential : Bloch formalism (we do in 1D first)
2.3 Block Hamiltonian
2.4 Free electron band structure

Chapter 3 : Nearly free electron model

3.1 Band gap
3.2 Band filling
3.3 Folding of bands
3.4 Time reversal symmetry of band structure

Chapter 4 : Tight binding model - the other extreme

4.1 Wannier functions
4.2 Tight finding Hamiltonian
4.3 TB parameters
4.4 TB model Example : metals and insulators

Chapter 5 : Crystal structure

5.1 Bavais lattuce to resiprocal space, structure factor(updated)
5.2 Lattice planes and X-ray diffraction
5.3 Scattering n atomic basis(updated}
5.4 Crystalographic restriction
5.5 Classification of crystal structure (updated)
5.6 Packing fraction

Chapter 6 : Interpreting band structure

6.1 Effective mass of electrons and "holes"
6.2 Energy bands in higher dimension : Fermi surface
6.3 Finding Fermi surface : Landau level, De haas van Alphen effect

Chapter 7 : Magnetism

7.1 Exchange interaction