Emergent topological superconductivity in skyrmion magnet/d-wave superconductor heterostructures

The interplay of superconductivity with non-trivial magnetic textures is a promising route toward the engineering of topological superconductivity and Majorana quasiparticles. In this paper, we demonstrate the realization of topological superconductivity in a d-wave superconductor coupled to a skyrmion lattice. Transitions between different topological phases can be induced by tuning the chemical potential and the magnetic exchange coupling. For intermediate-coupling strength, we unveil the formation of Chern bands of conduction electrons coupled to the magnetic skyrmions and present the emergence of an effective chiral p-wave pairing induced in the non-trivial Chern band. Majorana zero modes localized at the cores of the superconducting vortex lattice are revealed for topological superconducting phases with odd superconducting Chern numbers.