The electron Bloch states in crystals with spin-orbit coupling do not always transform under symmetry operations in the same way as the pure spin-1/2 states. This has profound consequences for the gap symmetry and nodal structure of superconductors. Based on the generalization of the Ueda–Rice prescription for the Bloch bases in twofold degenerate bands, we develop the general symmetry classification of multi-band superconducting pairing in non-magnetic centrosymmetric crystals. For the intraband pairing, we identify four exceptional cases in which the triplet gap function does not transform under the point group operations as a pseudovector, with a significant impact on the nodal structure. For the interband pairing, we show that the conventional ([Formula: see text]-wave) gap functions can have such unconventional features as triplet components and odd parity. The [Formula: see text]-wave interband pairing can also be odd in momentum and have a triplet component.

中文翻译：

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具有自旋轨道耦合的晶体中的超导性

具有自旋轨道耦合的晶体中的电子布洛赫态在对称操作下并不总是以与纯自旋 1/2 态相同的方式变换。这对超导体的间隙对称性和节点结构具有深远的影响。基于对双简并带中 Bloch 碱基的 Ueda-Rice 处方的推广，我们开发了非磁性中心对称晶体中多带超导配对的一般对称分类。对于带内配对，我们确定了四种例外情况，其中三元组间隙函数在点群操作下不转换为伪向量，对节点结构有重大影响。对于带间配对，我们证明了传统的（[公式：见文本]-wave) 间隙函数可以具有三重分量和奇校验等非常规特征。[公式：见文本]-波带间配对在动量上也可以是奇数，并且具有三重态分量。