@article{3346450, title = "Topological superconductivity in a two-dimensional Weyl SSH model", author = "Rosenberg, P. and Manousakis, E.", journal = "Physical Review B", year = "2022", volume = "106", number = "5", publisher = "American Physical Society", issn = "2469-9950, 2469-9969", doi = "10.1103/PhysRevB.106.054511", keywords = "Gap functions; Hubbard interaction; Majorana; Pairing interactions; Spinless fermion; Su Schrieffer Heeger model; Sub-lattices; Superconducting state; Two-dimensional; Unit cells, Topology", abstract = "We study the emergence of topological superconductivity in a two-dimensional 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 nontrivial 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. © 2022 American Physical Society." }