  In an R-parity nonconserving supersymmetric theory, the lighter stop can
dominantly 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 resembling those of the top quark at the Fermilab Tevatron. One can
thus constrain the stop parameter space using the current top search data, and
similarly look for the first signals of supersymmetry at the upgraded runs of
the Tevatron.
