new website in Group Neupert

Fractional quantum Hall physics, and the substantial body of research that has spawned from it, hosts some of the most fascinating and elusive problems in condensed matter physics. It has been shown that fractional quantum Hall systems have the capacity to support non-Abelian anyons, which could be braided to store information in topological quantum computers. Furthermore, lattice generalizations of these systems emphasize that it is possible to by-pass prohibitive operating conditions, such as strong magnetic fields. I am working on these lattice generalizations, known as fractional Chern insulators. My research is based on characterizing topological order by studying charge pumping, entanglement spectra, and modular transformation matrices. For my analysis, I employ a variety of numerical techniques, including Exact Diagonalization and the Density Matrix Renormalization Group. Ultimately, I would like to apply these methods to search for exotic topological phases in real materials.