Majorana bound states in magnetic skyrmions imposed onto a superconductor

We consider a two-dimensional superconductor exchange-coupled to the magnetic texture of a close-by chiral magnetic layer. In particular, we study how magnetic skyrmions can induce the formation of Majorana bound states (MBS) in the superconductor, where we focus on realistic skyrmions with winding number one. We show that MBS are supported if a vortex is pinned to the skyrmion core. In addition, we consider a chain of skyrmions, which may host MBS at its ends. In light of recent experimental progress on the manipulation of skyrmions, such systems are promising candidates to achieve direct spacial control of MBS.