Topological superconductivity in multiband systems has received much attention due to a variety of possible exotic superconducting order parameters as well as nontrivial bulk and surface states. While the impact of coexisting magnetic order on superconductivity, such as ferromagnetic superconductors, has been studied for many years, the implication of coexisting multipolar order has not been explored much despite the possibility of multipolar hidden order in a number of $f$-electron materials. In this work, we investigate topological properties of multipolar superconductors that may arise when quadrupolar local moments are coupled to conduction electrons in the multiband Luttinger semimetal. We show that the multipolar ordering of local moments leads to various multipolar superconductors with distinct topological properties. We apply these results to the quadrupolar Kondo semimetal system, PrBi, by deriving the microscopic multipolar Kondo model and examining the possible superconducting order parameters.

中文翻译：

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Luttinger半金属中的多极超导性

由于各种可能的奇异超导阶数参数以及非平凡的体态和表面状态，多频带系统中的拓扑超导性已引起了广泛关注。尽管已经研究了共存磁阶对超导性（例如铁磁超导体）的影响，但尽管在许多情况下存在多极隐性阶数，但对共存多极阶的含意并未进行太多探讨。$F$电子材料。在这项工作中，我们研究了多极超导体的拓扑特性，当四极局部矩耦合到多带Luttinger半金属中的传导电子时，它们可能会出现。我们证明了局部矩的多极排序导致了具有不同拓扑特性的各种多极超导体。通过推导微观多极近藤模型并检查可能的超导阶数参数，我们将这些结果应用于四极近藤半金属系统PrBi。