Anyon superconductivity from topological criticality

The identification of novel mechanisms for superconductivity is a longstanding goal in physics. In this talk, I argue that the combination of strong repulsive interactions and high magnetic fields can generate electron pairing and superconductivity in the vicinity of a topological quantum phase transition. Inspired by the large lattice constants of moiré materials, which make large flux per unit cell accessible at laboratory fields, we study the triangular lattice Hofstadter-Hubbard model at one-quarter flux quantum per plaquette. Using infinite density matrix renormalization group calculations, we demonstrate a direct continuous transition between a chiral spin liquid and weak-coupling integer quantum Hall phase. I present analytical arguments and direct numerical evidence that doping in its vicinity yields a topological superconductor. On the chiral spin liquid side, our results provide a concrete model realization of the anyon superconductivity mechanism theorized decades ago in the context of the high-Tc cuprates.