12:30 pm MCP 201
Superconductivity and the fractional quantum anomalous Hall effect.
I will discuss the problem of the fate of a mobile fluid of anyons obtained by doping fractional quantum anomalous Hall states. Building on old ideas on ``anyon superconductivity", I will identify situations in which doping the prominent 2/3 fractional quantum anomalous Hall state in a Chern band may lead to a superconductor. I will describe the surprising effects of disorder on such a superconductor: at low doping, an ``Anamalous Vortex Glass" superconductor results with characteristics distinguishable from an ordinary superconductor. I will also consider the fate of a fluid of non-abelian anyons obtained by doping Read-Rezayi states showing that a variety of interesting (super)conducting states arise naturally.