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Superconducting Weyl semimetals present a novel and promising system toharbor new forms of unconventional topological superconductivity. Within thecontext of time-reversal symmetric Weyl semimetals with $d$-wavesuperconductivity, we demonstrate that the number of Majorana cones equates tothe number of intersections between the $d$-wave nodal lines and the Fermiarcs. We illustrate the importance of nodal line-arc intersections bydemonstrating the existence of locally stable surface Majorana cones that thewinding number does not predict. The discrepancy between Majorana cones and thewinding number necessitates an augmentation of the winding number formulationto account for each intersection. In addition, we show that imposing additionalmirror symmetries globally protect the nodal line-arc intersections and thecorresponding Majorana cones.

Topological $d$-wave Superconductivity and Nodal Line-Arc Intersections in Weyl Semimetals