Many-Body Phenomenology
(M. Kiselev: 16 lectures + 2 tutorials)
1. Fermions (4 lectures ) Symmetry and statistics. Ideal Fermi gas.
Thermodynamics. Pauli paramagnetism. Landau diamagnetism. Fermi liquid.
Quasiparticles: electrons and holes. Life time of quasiparticles. Random Phase
Approximation for interacting fermions.
2. Bosons (4 lectures) Ideal Bose gas. Thermodynamics. Bose-Einstein
Condensation. Weakly interacting Bose-gas. Gross-Pitaevskii equation. Quasiparticles:
phonons. Goldstone theorem.
Lifetime of quasiparticles. 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.
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) |