Superconductivity in Weyl semimetals with time reversal symmetry

Abstract This theoretical study delves into the superconducting traits of Weyl semimetals that possess time reversal symmetry, utilizing the Bogoliubov–de Gennes equations. Our meticulous self-consistent calculations have unveiled a dual superconducting gap at the surface. We have also contrasted these findings with the superconducting characteristics of models that exhibit broken time-reversal symmetry. Our analysis indicates that Weyl semimetals with unimpaired time-reversal symmetry not only sustain a complete energy gap but also display modified Fermi arc surface states, which are notably distinct from those in models with compromised time-reversal symmetry. This work bridges the gap between theoretical expectations and experimental observations, advancing our understanding of the superconducting properties of Weyl semimetals.