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Longitudinal spin transport in diluted magnetic semiconductor superlatticesis investigated theoretically. The longitudinal magnetoconductivity (MC) insuch systems exhibits an oscillating behavior as function of an externalmagnetic field. In the weak magnetic field region the giant Zeeman splittingplays a dominant role which leads to a large negative magnetoconductivity. Inthe strong magnetic field region the MC exhibits deep dips with increasingmagnetic field. The oscillating behavior is attributed to the interplay betweenthe discrete Landau levels and the Fermi surface. The decrease of the MC at lowmagnetic field is caused by the $s-d$ exchange interaction between the electronin the conduction band and the magnetic ions.Comment: 6 pages, 9 figures, submitted to Phys. Rev.

Longitudinal spin transport in diluted magnetic semiconductor superlattices: The effect of the giant Zeeman splitting