**Condensed Matter Theory**

**Lecturer: **Prof. dr. M. I. Katsnelson

Room HG03.062, phone 52995

**♦
**30 hours lecture, 30 hours tutorial

**♦
Required knowledge**: Bachelor Courses “Quantum Mechanics”
and “Statistical Physics”

**♦ Goals: **The course
is focused on the concept of quasiparticles and many-body effects in condensed
matter theory (including magnetism, superconductivity, superfluidity,
metal-insulator transitions, etc.).

**♦
Subjects**

**• **Types of condensed matter. General quantum-mechanical problem of a
crystal. Adiabatic approximation.

**• **Lattice dynamics. Phonons as prototype quasiparticles. Scattering by
the lattice and correlation functions. Anharmonic phenomena.

**• **Conduction electrons in solids. The effect of external electric and
magnetic fields on the Bloch states. Zener breakdown. Quantum oscillation phenomena (de Haas-van Alphen,
Shubnikov-de Haas effects). Quantum Hall effect.

**• **Plasma phenomena in solids. Plasmons as an example of collective
excitations. Landau theory of Fermi liquids. Mott transitions and the restrictions of the
band theory of crystals.

**• **Magnetism, exchange interactions, spin waves. Types of magnetic ordering, quantum theory of
ferro- and antiferromagnets. Interaction of conduction electrons with spins.
Kondo effect.

**• **Superconductivity. Phenomenological theory of superconductivity.
Flux quantization. Josephson effect. Cooper pairing and the BCS theory.

**• **Bose-Einstein condensation and**
**superfluidity. The model of nonideal Bose gas. Feynman variational approach
to the superfluidity of He^{4}.

**♦
Literature**

**• **S. V. Vonsovsky
and M. I. Katsnelson. Quantum solid state physics.

**• **C. Kittel.
Quantum theory of solids.

**• ** R. P. Feynman. Statistical
mechanics.** **