  Magnet-superconductor hybrid heterostructures constitute a promising
candidate system for the quantum engineering of chiral topological
superconductivity. Here, we investigate the stability of their topological
phases in the presence of various types of potential and magnetic disorder. In
particular we consider magnetic disorder in the coupling strength and
spin-orientation, as well as percolation type disorder representing missing
magnetic moments. We show that potential disorder leads to the weakest
suppression of topological phases, while percolation disorder leads to their
strongest suppression. In addition, we demonstrate that in the case of
correlated potential disorder, the spatial structure of the disorder potential
is correlated not only with the particle number density, but also the Chern
number density. Finally, we demonstrate how the disorder-induced destruction of
topological superconductivity is reflected in the spatial structure and
distribution of the Chern number density.
