MATRL 286R: THRY FND QNT MATRL

University of California, Santa Barbara

A rigorous treatment of selected topics in modern solid state physics, incl uding theoretical frameworks (second quantization, Green's functions, densi ty matrix formalism, response functions), many-body effects (interacting el ectron gas, Fermi liquid theory, electron-phonon coupling, quantum spin mod els), superconductivity (Ginzburg-Landau theory, BCS theory, Josephson effe ct, quantum vortices), and topological phenomena (Landau levels and the qua ntum Hall effect, Berry phase and curvature, modern theory of polarization, topological insulators and superconductors, Majorana fermions).