  There is presently a tremendous activity around the field of topological
superconductivity and Majorana fermions. Among the many questions raised, it
has become increasingly important to establish the topological or
non-topological origin of features associated with Majorana fermions such as
zero-bias peaks. Here, we compare in-gap features associated either with
isolated magnetic impurities or with magnetic clusters strongly coupled to the
atomically thin superconductor Pb/Si(111). We study this system by means of
scanning tunneling microscopy and spectroscopy (STM/STS). We take advantage of
the fact that the Pb/Si(111) monolayer can exist either in a crystal-ordered
phase or in an incommensurate disordered phase to compare the observed
spectroscopic features in both phases. This allows us to demonstrate that the
strongly resolved in-gap states we found around the magnetic clusters in the
disordered phase of Pb have a clear topological origin.
