Quantifying Exchange Forces of a Non-Collinear Magnetic Structure on the Atomic Scale.

We quantify the atomic-scale variation of the magnetic exchange force field between a ferromagnetic tip and the cycloidal spin spiral of one monolayer Mn on the W(110) surface, by utilizing the combination of spin-polarized scanning tunneling microscopy and magnetic exchange force microscopy (SPEX). Compared to the surprisingly weak spin polarization, the exchange force field is more sensitive to atomic-scale variations in the magnetization. First-principles calculations reveal that the measured atomic-scale variations in the exchange force originate from different contributions of direct and indirect (Zener) type exchange mechanisms, depending on the chemical tip termination. The weak spin polarization of the tunneling current results from pz states which dominate the local density of states around the Fermi energy. Our work provides the first characterization of the exchange force field together with the spin polarization of a spin spiral and opens the perspective of quantifying different exchange mechanisms of chiral magnetic structures with atomic-scale precision.