We demonstrate that stable nonlinear localized modes can exist not onl
y at a Light-mass isotopic impurity, but also at a heavy-mass impurity
, due to an interplay between discreteness and nonlinearity. This is i
n sharp contrast to the theory of linear lattice vibrations that an im
purity mode is possible only at a light-mass defect. We determine the
structure of the nonlinear impurity modes analytically using a four-pa
rticle approximation, and confirm the stability by direct numerical si
mulations.