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 for the higher-order Tsc, which host Majorana hinge and corner modes. Here, we propose a four-step strategy that mathematically derives comprehensive guiding principles for the search and design for materials of general higher-order Tsc phases. Specifically, such recipes consist of conditions on the normal state and pairing symmetry that can lead to a given higher-order Tsc state. We demonstrate this strategy by obtaining recipes for achieving three-dimensional higher-order Tsc phases protected by the inversion symmetry. Following our recipe, we predict that the observed superconductivity in centrosymmetric MoTe₂ is a hyrbid-order Tsc candidate, which features both surface and corner modes. Our proposed strategy enables systematic materials search and design for higher-order Tsc, which can mobilize the experimental efforts and accelerate the material discovery for higher-order Tsc phases.

拓扑超导（Tsc）领域的一项关键挑战是材料实现的稀有性。这不仅适用于具有马约拉纳表面模式的一阶 Tsc，也适用于具有马约拉纳铰链和角模式的高阶 Tsc。在这里，我们提出了一个四步策略，以数学方式导出用于搜索和设计一般高阶 Tsc 相材料的综合指导原则。具体来说，此类配方由正常状态和配对对称性条件组成，可导致给定的高阶 Tsc 状态。我们通过获得实现受反演对称性保护的三维高阶 Tsc 相的方法来演示这一策略。_{按照我们的方法，我们预测在中心对称 MoTe 2}中观察到的超导性是混合阶 Tsc 候选者，它具有表面模式和角模式。我们提出的策略能够实现高阶 Tsc 的系统材料搜索和设计，这可以调动实验工作并加速高阶 Tsc 相的材料发现。