  We study the emergence of topological superconductivity in a two-dimensional
(2D) Weyl system, composed of stacked Su-Schrieffer-Heeger (SSH) chains. A
previous analysis of the model showed that the addition of an attractive
Hubbard interaction between spinful electrons leads to a superconducting state
that has an intricate pairing structure, but is topologically trivial. Here we
consider a pairing interaction that couples spinless fermions on opposite
sublattices within the same unit cell. We observe that this physically
motivated, momentum-independent pairing interaction induces a topological
superconducting state, characterized by a gap function with a non-trivial
phase, as well as Majorana and Fermi arc edge states along the edge
perpendicular to the direction of the SSH dimerization. In addition, we observe
a transition as a function of pairing interaction strength and chemical
potential, indicated by a change in the sign of the topological charge carried
by each of the four Bogoliubov-Weyl nodes.
