The Shubnikov-de Haas spectra of GaAs samples with a periodical doping
with Si were measured at 4.2 K using fields of 0-14 T. From the Shubn
ikov-de Haas spectrum the quantum mobilities associated with individua
l minibands were estimated for each sample. The sheet density of Si at
oms in each doping plane was fixed at approximately 2.5 x 10(12) cm(-2
) in all samples and the doping period was varied in the range 40-1000
Angstrom. The quantum mobilities obtained experimentally are compared
with theoretical calculations using the random phase approximation to
describe the screened interaction between electrons and charged imo p
urities. The theory describes qualitatively the results of the experim
ent, i.e. an increase of the quantum mobility with the index of the mi
niband, and a decrease in the mobility in all minibands when the dopin
g period is made shorter (with a weak maximum at intermediate values o
f the doping period). Various possible improvements of the model are s
uggested.