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The full spin density fluctuations (SDF) spectra in 3d paramagnetic metalsare analyzed from first principles using the linear response technique. Usingthe calculated complete wavevector and energy dependence of the dynamic spinsusceptibility, we obtain the most important, but elusive, characteristic ofSDF in solids: on-site spin correlator (SC). We demonstrate that the SDF have amixed character consisting of interacting collective and single-particleexcitations of similar strength spreading continuously over the entireBrillouin zone and a wide energy range up to femtosecond time scales. Theseexcitations cannot be adiabatically separated and their intrinsicallymultiscale nature should be always taken into account for a proper descriptionof metallic systems. Overall, in all studied systems, despite the lack of localmoment, we found a very large SC resulting in an effective fluctuating momentof the order of several Bohr magnetons.

Strength and scales of itinerant spin fluctuations in 3d paramagnetic metals