Superconductivity on doping a Hofstadter-Hubbard model near a topological transition

Motivated by recent progress in moire' materials, we consider the transition between integer quantum Hall and chiral spin liquid states in a triangular lattice Hofstadter-Hubbard model. A continuous transition between these phases requires closing of the charge gap, while the spin gap remains open, consistent with low-energy Cooper pairs. Such Cooper pairing was recently demonstrated in the excitations about the insulating state. Here we consider the case of finite doping, and numerically explore signatures of superconductivity over a range of interaction strengths where a spin-gapped ground state is found. This supports a new route towards realizing unconventional superconductivity in two-dimensional materials in the limit of strong time reversal breaking.