Varona Angulo, SantiagoOrtiz Martín, LauraViyuela, O.Martín-Delgado Alcántara, Miguel Ángel2023-06-172023-06-172018-10-030953-898410.1088/1361-648X/aadc71https://hdl.handle.net/20.500.14352/12974© 2018 IOP Publishing Ltd. We acknowledge financial support from the Spanish MINECO grants FIS2012-33152, FIS2015-67411, and the CAM research consortium QUITEMAD + , Grant No. S2013/ ICE-2801. The research of MAM-D has been supported in part by the US. Army Research Office through Grant No. W911N F-14-1-0103. OV thanks Hiroki Isobe for interesting discussions, Fundación Ramón Areces and RCC Harvard. SV thanks FPU MECD Grant.We compute the topological phase diagram of 2D tetragonal superconductors for the only possible nodeless pairing channels compatible with that crystal symmetry. Subject to a Zeeman field and spin-orbit coupling, we demonstrate that these superconductors show surprising topological features: non-trivial high Chern numbers, massive edge states, and zero-energy modes out of high symmetry points, even though the edge states remain topologically protected. Interestingly, one of these pairing symmetries, d + id, has been proposed to describe materials such as water-intercalated sodium cobaltates, bilayer silicene or highly doped monolayer graphene.engjournal articlehttp://dx.doi.org/10.1088/1361-648X/aadc71http://iopscience.iop.orghttps://arxiv.org/abs/1804.00007open access53Majorana fermionsHallConductanceStatesModelFísica-Modelos matemáticos