Realization of Laughlin's "Anyon Superconductivity" in a Hubbard-Hofstadter model

Demonstrating superconductivity in purely repulsive models is a compelling goal which underscores the counter-intuitive ability of Coulomb interactions to mediate superconductivity. Here, I present numerical evidence for robust superconductivity upon doping chiral spin liquids and Chern insulators in a triangular Hubbard-Hofstadter model. Employing infinite density matrix renormalization group calculations on cylinders, we observe superconducting ground states, whose pair-correlations strengthen as the 2D limit is approached. I will argue that our model offers a robust setup for exploring the properties of anyonic matter at finite density and discuss the interplay of fractionalization, quantum criticality and superconductivity, as well as implications for other quantum Hall states.