  We demonstrate that checkerboard magnet-superconductor hybrid systems possess
a rich phase diagram exhibiting both strong topological superconducting (STSC)
and topological nodal point superconducting (TNPSC) phases. We show that TNPSC
phases exist both for ferromagnetic and antiferromagnetic systems, yielding a
plethora of qualitatively different edge mode structures. Checkerboard MSH
systems also facilitate the emergence of STSC phases which can be induced even
in the limit of vanishing magnetization. Our results provide a new path for the
quantum engineering of topological superconducting phases using atomic
manipulation techniques.

Superconductivity