Majorana corner modes in three-dimensional transition metal dichalcogenides

One key challenge in the field of topological superconductivity (Tsc) has been the rareness of material realization. This is true not only for the first-order Tsc featuring Majorana surface modes, but also the higher-order Tsc, which host Majorana hinge and corner modes. In this work, we first propose a general material-searching "recipe" for higher-order Tsc with Majorana corner modes. This recipe is obtained from a set of strong, weak, and mixed symmetry indicators we derived in the presence of inversion symmetry. Following this recipe, we propose that centrosymmetric MoTe2, which was found superconducting experimentally, is a higher-order Tsc. By performing DFT calculation and mean-field analysis for a 44-band realistic tight-binding model, we find that MoTe2 could host Majorana corner and hinge modes. Our recipe and proposed candidate could provide general guiding principle and example for material searching and designing of higher-order Tsc.