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

Semester Autumn Semester 2015
Lecturers G. M. Graf
Periodicity non-recurring course
Language of instruction English


Abstract The 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
Content The 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.