Many-Body Phenomenology
(M. Kiselev: 16 lectures + 2 tutorials)
1. Fermions (4 lectures ) Ideal Fermi gas. Thermodynamics. Pauli paramagnetism. Landau
diamagnetism. Fermi liquid. Quasiparticles. Life time of quasiparticles.
2. Bosons (3 lectures) Ideal
Bose gas. Thermodynamics. Bose-Einstein Condensation. Weakly interacting
Bose-gas. Gross-Pitaevskii equation. Phonons. Goldstone theorem. Superfluidity.
Vortices. Ultra-cold atomic gases in traps and optical lattices.
3. Superconductivity (4 lectures). London equations. Electron-phonon interaction. Cooper instability.
Bardeen-Cooper-Schrieffer theory. Ginzburg-Landau theory. Thermodynamics and
electrodynamics of superconductors. Type 1 and type 2 superconductors. High-temperature
superconductivity.
4. Local magnetism (4 lectures). Phenomenological theory of local magnetism. Weiss molecular field. Langevin and Brillouin functions. Ground
state. Spin susceptibility. Random Phase Approximation for magnetic systems.
Correlation length. Long-range
order. Spin dynamics. Bloch equation. Transverse and longitudinal relaxation
times. Kondo effect. Magnetism of strongly correlated systems.
5. Nanostructures (1 lecture). Quantum dots and quantum wires. Coulomb blockade. Tunneling and
co-tunneling. Coherence and de-coherence. Quantum transport. Molecular
electronics.
Recommended literature:
|
1 |
C.Kittel. Quantum Theory
of Solids.(John Wiley and Sons, New York 1987) |
|
2 |
J.
M. Ziman. Principles of the Theory of Solids. (Cambridge University Press, Cambridge,
1979) |
|
3 |
R. White. Quantum Theory of Magnetism.
(Springer-Verlag, 1983) |
|
4 |
R. Schrieffer. Theory of
Superconductivity (Westview
Press, 1971) |
|
5 |
M. Tinkham, Introduction to superconductivity, (Mc- Graw
Hill, New York. 1996) |
|
6 |
N.W.Ashkroft and N.D. Mermin. Solid State
Physics. (Holt, Rinehart and |
|
7 |
A. Abrikosov. Fundamentals of the
Theory of Metals (North-Holland, |
|
8 |
G.Mahan,
Many-Particle Physics (Plenum press, NY 1993) |
|
9 |
A. Auerbach. Interacting Electrons and
Quantum Magnetism. (Springer-Verlag,1994) |