Purdue University
A basic tenet of quantum theory is that all elementary particles are either bosons or fermions. Ensembles of bosons or fermions act differently due to differences in their underlying quantum statistical properties. Starting in the early 1980’s it was theoretically conjectured that excitations that are neither bosons nor fermions may exist under special conditions in two-dimensional interacting electron systems. These unusual excitations were dubbed “anyons” by Frank Wilczek. Anyons have fractional charge and fractional statistics, however directly probing these properties presents experimental challenges. This lecture will focus on the development of interferometric measurements that allow direct observation of anyonic braiding statistics in the fractional quantum Hall regime. Emphasis will be placed on new experimental results that extend the technique beyond the primary $\nu$=1/3 state.