Unconventional self-similar Hofstadter superconductivity from repulsive interactions

Abstract

Fractal Hofstadter bands have become widely accessible with the advent of moiré superlattices, exemplified by the square-lattice Hubbard-Hofstadter model. Here, the authors predict that, due to a combination of repulsive interactions and Van Hove singularities, this model can realize both nodal and chiral topological superconductivity for different band fillings.