Syllabus
Second quantization: Fock-space representation for bosons and fermions, representation of many-body operators.
Electron-electron interaction: Hartree and Hartree-Fock approximations; Quasiparticles, Landau-Fermi liquid theory for interaction between quasiparticles, equilibrium properties of normal Fermi liquid, 3He: ideal Fermi liquid, transport of quasiparticles, current density.
Magnetism: Absence of magnetism in classical statistics; Origin of the exchange interaction; direct exchange, super exchange, indirect exchange and itinerant exchange; spin Hamiltonians: Heisenberg model; ground state of Heisenberg ferromagnet and antiferromagnet; spin wave analysis, mean-field theory, spontaneous magnetization, ordered manetism of valence and conduction electrons, Stoner's criterion for metallic ferromagnet.
Superconductivity: Meissner effect, Type I and Type II superconductivity, Ginzburg-Landau theory, gauge symmetry and symmetry breaking, flux quantization; Electron-electron interaction via lattice: Cooper pairs, BCS theory. Josephson tunneling, ac and dc Josephson effect; Vortex state (qualitative discussion); High Tc superconductors (qualitative discussion).
Special topics: Mott transition, Hubbard model, Kondo effect, Superfluidity
Text Books
1. Michael P. Marder, Condensed Matter Physics, John Wiley & Sons.
2. Neil W. Ashcroft and N. David Mermin, Solid State Physics, Harcout College Publishers.
3. Charles Kittel, Introduction to Solid State Physics, John Wiley & Sons.
4. David Pines and Philippe Noziers, The Theory of Quantum Liquids, W. A. Benjamin Inc.
5. A. C. Rose-Innes and E. H. Rhoderick, Introduction to Superconductivity, Pergamon.
6. H. Ibach and H. Luth, Solid State Physics: An Introduction to Theory and Experiment, Springer
References
Information Not Available