Superconductivity of repulsive spinless fermions with sublattice potentials

We explore unconventional superconductivity of repulsive spinless fermions on square and honeycomb lattices with staggered sublattice potentials. The two lattices can exhibit staggered d-wave and f-wave pairing, respectively, at low doping stemming from an effective two-valley band structure. At higher doping, in particular, the square lattice displays a much richer phase diagram including topological p + ip superconductivity which is induced by a qualitatively different mechanism compared to the d-wave pairing. We illuminate this from several complementary perspectives: We analytically perform sublattice projection to analyze the effective continuum low-energy description and we numerically calculate the binding energies for pair and larger bound states for few-body doping near half filling. Furthermore, for finite doping, we present phase diagrams based on extensive functional renormalization group and and density matrix renormalization group calculations.

Automated summary

We investigated unconventional superconductivity in repulsive spinless fermions on square and honeycomb lattices with staggered sublattice potentials. The two lattices exhibit staggered d-wave and f-wave pairings, respectively, at low doping due to a two-valley band structure. At higher doping, the square lattice shows a richer phase diagram, including topological p + ip superconductivity induced by a different mechanism compared to the d-wave pairing. We analyzed this phenomenon analytically and numerically, and provided phase diagrams for finite doping.