  Considering that the soft SUSY breaking scalar masses come from a vacuum
expectation value of the D-term for an external gauge multiplet, the
renormalization of the scalar masses is related to the gauge anomaly. Then, if
the external gauge symmetry is anomaly-free and has no kinetic mixing with the
other U(1) gauge symmetries, the scalar masses are non-renormalized at all
orders assuming that the gaugino masses are negligibly small compared with the
scalar masses. Motivated by this, we construct models where the sfermion masses
for the first-two generations are much heavier than the other superparticles in
the minimal SUSY standard model in a framework of the anomalous U(1) mediated
SUSY breaking. In these models we have to introduce extra chiral multiplets
with the masses as large as those for the first-two generation sfermions. We
find that phenomenologically desirable patterns for the soft SUSY breaking
terms can be obtained in the models.
