论文标题
$ \ mathbb {z} _2 $ - 富集的对称指标，用于1651磁性空间组中的拓扑超导体
$\mathbb{Z}_2$-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups
论文作者
论文摘要
虽然基于对称性的拓扑绝缘子和半法的诊断已使候选拓扑材料的大规模发现，但这些方法将这些方法扩展到诊断拓扑超导体的诊断仍然是一个主要的开放问题。拓扑超导性分析的一种重要新成分是存在$ \ Mathbb Z_2 $ - 值的PFAFFIAN不变性与某些高对称力矩相关的不变性。这种拓扑不变的位置超出了带状结构的对称表示理论的常规范围，因此，它们不仅将其纳入频带拓扑的对称指标的系统计算中并不普遍。在这里，我们克服了这一挑战，并报告了所有对称设置中超导体的$ \ Mathbb Z_2 $ enriched对称指标的完整计算。我们的结果表明，合并$ \ Mathbb Z_2 $ band Labels以大约$ 60 \％的对称设置增强了该方案的诊断能力。我们的框架也很容易与第一原理计算集成在一起，以阐明给定化合物中非常规超导性的可能特性。作为演示，我们在最近发现的超导体Captas和Casb $ _2 $中明确分析了配对对称性与拓扑超导性之间的相互作用。
While the symmetry-based diagnosis of topological insulators and semimetals has enabled large-scale discovery of topological materials candidates, the extension of these approaches to the diagnosis of topological superconductors remains a major open question. One important new ingredient in the analysis of topological superconductivity is the presence of $\mathbb Z_2$-valued Pfaffian invariants associated with certain high-symmetry momenta. Such topological invariants lie beyond the conventional scope of symmetry representation theory for band structures, and as such they are nontrivial to incorporate into the systematic calculations of the symmetry indicators of band topology. Here, we overcome this challenge and report the full computation of the $\mathbb Z_2$-enriched symmetry indicators for superconductors in all symmetry settings. Our results indicate that incorporating the $\mathbb Z_2$ band labels enhance the diagnostic power of the scheme in roughly $60\%$ of the symmetry settings. Our framework can also be readily integrated with first-principles calculations to elucidate on the possible properties of unconventional superconductivity in a given compound. As a demonstration, we analyze explicitly the interplay between pairing symmetry and topological superconductivity in the recently discovered superconductors CaPtAs and CaSb$_2$.
