We have investigated the magnetic and magnetotransport properties of Ba$_2$FeMoO$_6$ thin films produced by pulsed laser deposition from optimized bulk material. The films are comprised of grains of crystalline Ba$_2$FeMoO$_6$ with a disordered grain boundary region that lowers the net saturation magnetization of the film and prevents full magnetic alignment below a Curie temperature $T_C$$sim$305 K. Magnetotransport measurements point to the Ba$_2$FeMoO$_6$ grains retaining the high spin polarization of a half-metal up to $T_C$, while the grain boundaries greatly reduce the spin polarization of the intergrain electrical current due to spin-flip scattering. Our results show that a strong spin polarization of the electronic charge carriers is present even in Ba$_2$FeMoO$_6$ films that do not show the ideal bulk magnetic character.
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