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We have measured the size effect in nonlocal Gilbert relaxation rate inFM(t$_{FM}$) / Cu (5nm) [/ Pt (2nm)] / Al(2nm) heterostructures, FM = \{Ni$_{81}$Fe$_{19}$, Co$_{60}$Fe$_{20}$B$_{20}$, pure Co\}. Common behavior isobserved for three FM layers, where the additional relaxation obeys both astrict inverse power law dependence $\Delta G =K \:t^{n}$,$n=-\textrm{1.04}\pm\textrm{0.06}$ and a similar magnitude$K=\textrm{224}\pm\textrm{40 Mhz}\cdot\textrm{nm}$. As the tested FM layersspan an order of magnitude in spin diffusion length $\lambda_{SDL}$, theresults are in support of spin diffusion, rather than nonlocal resistivity, asthe origin of the effect.

Dependence of nonlocal Gilbert damping on the ferromagnetic layer type in FM/Cu/Pt heterostructures