402-0875-65L  Topological Aspects of Condensed Matter Physics

SemesterAutumn Semester 2015
LecturersG. M. Graf
Periodicitynon-recurring course
Language of instructionEnglish


AbstractThe course begins with some mathematical background like fibre bundles. It covers the quantum Hall effect from various perspectives (phenomenology, heuristic explanation, role of disorder, Landau Hamiltonian, Kubo formula, Chern numbers, index of a pair of projections, bulk and edge). Also discussed: Topological insulators and their indices; the Kitaev table. If time permits, quantum pumps.
Objective
ContentThe course begins with some mathematical background like fibre bundles, connections, holonomy and curvature. It covers the quantum Hall effect from various perspectives (phenomenology, heuristic explanation, role of disorder, Landau Hamiltonian, Kubo formula, Chern numbers, index of a pair of projections, bulk and edge). Also discussed in a similar vein: Topological insulators and their indices; the Kitaev table. If time permits, quantum pumps.