This course will give a broad overview of topological phases. Many of these phases are realized in solid state materials and exhibit remarkable bulk and surface properties. Topics covered will include recently discovered topological insulators, quantum Hall phases, concepts such as anyons and charge fractionalization, topological superconductors, Majorana excitations and their use as qubits, and quantum error corrections with surface code. This course will focus on both the theorectical aspects of topological phases, as well as experimental results used to identify such phases. Course grading will depend on homework problem sets, reading published papers, and a presentation on a recent study relevant to the course material.
[Pre-requisite: Advanced course on quantum mechanics. Solid state physics is also preferrable, but not required]