March 31 - April 2


Chapter 0, The mission, the literature

Chapter 1, Periodic structures
§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

Chapter 3, Electrons in solids

§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 


June 2-4

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

Chapter 5, Phase transitions in solids

§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-Tc superconductivity
Conclusions