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We study theoretically the effective spin Hall properties of a compositeconsisting of two materials with and without spin-orbit (SO) coupling. Inparticular, we assume that SO material represents a system of grains in amatrix with no SO. We calculate the effective spin Hall angle and the effectivespin diffusion length of the mixture. Our main qualitative finding is that,when the bare spin diffusion length is much smaller than the radius of thegrain, the effective spin diffusion length is strongly enhanced, well beyondthe "geometrical" factor. The physical origin of this additional enhancement isthat, with small diffusion length, the spin current mostly flows around thegrain without suffering much loss. We also demonstrate that the voltage,created by a spin current, is sensitive to a very weak magnetic field directedalong the spin current, and even reverses sign in a certain domain of fields.The origin of this sensitivity is that the spin precession, caused by magneticfield, takes place outside the grains where SO is absent.

Effective spin Hall properties of a mixture of materials with and without spin-orbit coupling: Tailoring the effective spin-diffusion length