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High-resolution tunneling electron spin transport properties (longitudinalspin current (LSC) and spin transfer torque (STT) maps) of topologicallydistinct real-space magnetic skyrmionic textures are reported by employing a3D-WKB combined scalar charge and vector spin transport theory in the frameworkof spin-polarized scanning tunneling microscopy (SP-STM). For our theoreticalinvestigation metastable skyrmionic spin structures with various topologicalcharges ($Q=-3,-2,-1,0,1,2$) in the (Pt$_{0.95}$Ir$_{0.05}$)/Fe/Pd(111)ultrathin magnetic film are considered. Using an out-of-plane magnetized SP-STMtip it is found that the maps of the LSC vectors acting on the spins of themagnetic textures and all STT vector components exhibit the same topology asthe skyrmionic objects. In contrast, an in-plane magnetized tip generally doesnot result in spin transport vector maps that are topologically equivalent tothe underlying spin structure, except for the LSC vectors acting on the spinsof the skyrmionic textures at a specific relation between the spinpolarizations of the sample and the tip. The magnitudes of the spin transportvector quantities exhibit close relations to charge current SP-STM imagesirrespectively of the skyrmionic topologies. Moreover, we find that the STTefficiency (torque/current ratio) acting on the spins of the skyrmions canreach large values up to $\sim$25 meV/$\mu$A ($\sim$0.97 $h/e$) above the rimof the magnetic objects, but it considerably varies between large and smallvalues depending on the lateral position of the SP-STM tip above thetopological spin textures. A simple expression for the STT efficiency isintroduced to explain its variation. Our calculated spin transport vectors canbe used for the investigation of spin-polarized tunneling-current-induced spindynamics of topologically distinct surface magnetic skyrmionic textures.

High-resolution tunneling spin transport characteristics of topologically distinct magnetic skyrmionic textures from theoretical calculations