In an R-parity nonconserving supersymmetric theory, the lighter stop can do
minantly decay into b mu and b tau if R-parity breaking has to explain the
neutrino mass and mixing pattern suggested by the data on atmospheric muon
neutrinos. This should give rise to dilepton + dijet and single - lepton jets, signals identical with those of the top quark at the Fermilab Tevatro
n. One can thus constrain the stop parameter space using the current top se
arch data and can similarly look for the first signals of supersymmetry at
the upgraded runs of the Tevatron.