March 31 - April 2

§1 Translational symmetry and reciprocal lattice

§2 Properties of the reciprocal lattice

§3 Bloch's theorem

3.1 Non-degenerate case

April 7 - April 9

3.2 Degenerate case

§4 Reduction to the Brillouine zone

§5 Boundary conditions: counting the available states

Chapter 2, Dynamic properties of the lattice

§1 Lattice oscillations

1.1 Lattice waves and eigenmodes

1.2 Examples. Properties of the lattice waves

April 14 - April 16

§2 Specific heat of the lattice

2.1 Bravais lattice case

2.2 Lattice with basis

§3 Diffraction on the lattice. Phonons

3.1 The perfect crystal case (T=0)

3.2 Diffraction in presence of oscillations (finite T)

April 21 - April 23

3.3 Phonons

3.4 Debye-Waller factor

3.5 Beyond harmonic approximation. Phonon-phonon interaction

§1 Independent free electron models

1.1 Drude theory of metals

April 28 - April 30

1.2 Sommerfeld theory of metals

May 5 -7

§2 Electron diffraction on the lattice

§3 Band structure calculation methods

3.1 Nearly free electrons (NFE) model

3.2 Tight binding model (TBM)

3.3 Linear combination of atomic orbitals (LCAO) method

3.4 Orthogonalised plane waves (OPW) method

May 12 -14

§4 Band structure and conductance properties

§5 Electrons in semiconductors

5.1 "Clean" case (intrinsic semiconductors)

5.2 Doped semiconductors

§6 Electron-electron interactions

6.1 Hartree-Fock approximation

May 19

6.2 Static screening. Thomas-Fermi approximation

6.3 Dynamical screening. RPA approximation

May 26 - 28

6.4 Screening singularities. Friedel oscillations and sum rule

6.5 Basic principles of the Fermi liquid theory

6.6 Interacting fermions in 1D: Tomonaga-Luttinger model

Chapter 4, Solids in external fields

§1 Boltzmann equation and kinetic coefficients

1.1 Boltzmann equation

1.2 DC conductivity

1.3 Residual resistivity

June 16-18

1.4 Phonon contribution to resistivity

1.5 Kinetic coefficients

§2 Solids in magnetic fields

2.1 Hall effect

2.2 Energy quantisation in finite magnetic field

2.3 Integer quantum Hall effect

June 23-25

2.4 Fractional quantum Hall effect

§3 Magnetization and magnetic susceptibility

3.1 Atomic contribution

3.2 Conductance band contribution

§1 (Anti)ferromagnetism

1.1 Exchange interaction

June 30 - July 2

1.2 Heisenberg model within the MFA

1.3 Ising model and its solutions

§2 Superconductivity

2.1 Role of electron-phonon coupling

2.2 Cooper instability

July 7 -July 9

2.3 BCS groundstate, energy spectrum

2.4 Thermodynamic properties

2.5 Physical properties of superconductors

2.6 High-T

Conclusions