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.).
• 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 He4.
• S. V. Vonsovsky and M. I. Katsnelson. Quantum solid state physics.
• C. Kittel. Quantum theory of solids.
• R. P. Feynman. Statistical mechanics.