We report the negative magnetoresistance measured in GaAs-AlAs short-period
superlattices. The samples were doped with silicon so that the electrical
conductivity was controlled by the DX silicon donor. We take advantage of t
he metastable character of the DX states at low temperature to tune the con
ductivity by increasing the photoionization of the ground state DX- in the
persistent photoconductivity regime. The magnetic correction is generally i
nterpreted in terms of weak localization and electron-electron interaction
according to the Kawabata and Altshuler theories of the magnetoresistance a
t low magnetic field in semiconductors. However, we find that these models,
previously developed in pure 3D or 2D systems, cannot be strictly applied
in superlattices showing anisotropic diffusion and low mobility. Conversely
, we show that the self-consistent approach to electron localization recent
ly proposed by Bryksin and Kleinert (BK) in anisotropic systems accounts pr
operly for the experimental results.