Advanced Condensed Matter Physics II

Course introduces and presents ongoing theoretical investigations of new research topics in condensed matter physics: topological insulators and Chern numbers, topological superconductors, the fractional quantum Hall effect and non-abelian statistics, flat-band systems, spin liquids. The techniques needed to deal with such systems, such as Chern numbers, topological band theory, Berry phases, conformal field theory, Chern-Simons theory, t-J models, Gutzwiller wavefunctions, Hubbard models, are explained.