Ordering topological orders in quantum Hall systems and beyond

Abstract: I will discuss possible topological order/topological quantum field theory of quantum Hall systems. Given the value of the Hall conductivity, we constrain the global symmetry of the low-energy theory and its anomaly. This information is powerful enough to lead to a unique minimal topological order (or a small number of minimal topological orders), and generally provides an organizing principle for possible topological phases in these systems. Almost all of the known experimentally discovered topological orders are these minimal theories. I will also discuss applications of these ideas in lattice systems of fermions with a given filling factor.

HEP - phenomenologyHEP - theorymathematical physics

Audience: researchers in the topic

NHETC Seminar

Series comments: Description: Weekly research seminar of the NHETC at Rutgers University

Livestream link is available on the webpage.