Superconductivity of repulsive spinless fermions with sublattice potentials

We explore unconventional superconductivity of repulsive spinless fermions on square and honey-

comb 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 topo-

logical 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 nu-

merically 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 FRG and

and DMRG calculations