Lectures: Mon., Wed. and Fri., 11:00-12:00 in Lecture Hall 2 of the
Physics Department
Graders' office hours: Wed., 6 PM -7 PM in Rm. R117 of the Physics Department
Problem sets: Roughly one every 10 days, about 10 in all
Evaluation: 30% homework, 35% midterm and 35% final
Course outline: Born-Oppenheimer approximation, second quantization for Fermions and Bosons. Effects of electron-electron interactions - Hartree – Fock approximation, exchange and correlation effects, screening, dielectric function of electron systems, Random Phase approximation, plasma oscillations, Fermi liquid theory, elementary excitations, quasiparticles. The Hubbard model, spin-and charge-density wave states, metal-insulator transition, Mott insulators. Electrons in a magnetic field, Landau levels, integer quantum Hall effect, elementary introduction to the fractional quantum Hall effect. Review of harmonic theory of lattice vibrations. Electron-phonon interaction - phonons in metals, mass renormalization, effective interaction between electrons, polarons. Superconductivity - phenomenology, Cooper instability, BCS theory, Ginzburg-Landau theory. Transport phenomena, Boltzmann equation, linear response theory. Density functional theory, classical liquids and glasses.
Recommended
textbooks:
1) Advanced Solid State Physics
by Ashcroft and Mermin
2) Theoretical Solid State
Physics vol. 1 by Jones and March
3) Advanced Solid State Physics
by Phillips
4) Quantum Theory of Solids by Kittel
5) Quantum Theory of the
Electron Liquid by Giuliani and Vignale
6) The Theory of Quantum Liquids
by Pines and Nozieres
7) Interacting Electrons and
Quantum Magnetism by Auerbach
8) Many Particle Physics by
Mahan
Problem
Sets:
Problem set 6 Lattice vibrations
Problem set 7 Electron-phonon coupling
Problem set 8 Transport properties