Abstract: In this talk I will discuss myself and coauthors' recent progress on understanding minimal topological order in a variety of settings. This is topological order with the minimal number of anyons given some fractional topological response, e.g. fractional Hall conductivity. I will explain how thinking in this way prompts one to reverse the usual direction for classifying symmetry enrichment. Rather than i) beginning with a known topological order, ii) classifying its symmetry, and iii) extracting the possible topological responses one instead begins with the experimentally observed topological response and works backwards to find all consistent symmetry enriched topological orders. This perspective has already proven useful in numerical studies of the ν = 3/4 state. Time permitting, I will discuss a recent paper where myself and collaborators explored the phenomenology of reentrant phases in van der Waals materials using, in part, some insights gleaned from studying minimal order.
Zoom Link: https://illinois.zoom.us/my/icmt.seminar?pwd=ZU1KbnBLeXZLUmJKc0oyU205cDNDdz09
Meeting ID: 791 382 8328
Password: 106237