Linear magnetoresistance in non-degenerately doped SrTiO$_{3}$

I will present transport measurements on non-degenerately doped $n-$SrTiO$_{3}$ single crystals. The samples were doped by annealing at high temperatures in vacuum. The resistance decreases monotonically down to the lowest temperatures, for carrier densities as low as 3.85 x 10$^{15}$/cm$^{3}$. The magnetoresistance (MR) is found to be positive and linear at high fields, with R(9 T)/R(0 T) \textgreater\ 28 at 2 K for the lowest doping levels measured. The magnitude of the MR decreases with increasing temperature, and with increased doping. I will discuss the data in light of various mechanisms for linear magnetoresistance in the context of $n-$SrTiO$_{3}$.