Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries

Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
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DOI:
10.1103/physrevb.109.214502
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发表时间:
2022-06
期刊:
影响因子:
3.7
通讯作者:
Seishiro Ono;Ken Shiozaki;Haruki Watanabe
Seishiro Ono;Ken Shiozaki;Haruki Watanabe
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Seishiro Ono;Ken Shiozaki;Haruki Watanabe

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基于最近发展的框架,我们进行分类的时间反演对称的拓扑超导体与传统的配对对称性。我们的实空间方法澄清了边界模式在非平凡阶段的性质。拓扑晶体绝缘体的计算的关键区别源于涡旋零模式的几个二维拓扑超导体的界面上的出现。我们发现,我们的分类是完整的$K $理论意义上的所有杆组,所有层组,和159的230个空间群。我们的结果揭示了新的光超导体与传统的配对作为候选人的拓扑超导体。
Based on a recently developed framework, we conduct classifications of time-reversal symmetric topological superconductors with conventional pairing symmetries. Our real-space approach clarifies the nature of boundary modes in nontrivial phases. The key difference from the calculations for topological crystalline insulators originates from the appearance of vortex zero modes on the interface of several two-dimensional topological superconductors. We find that our classification is complete in the $K$-theory sense for all rod groups, all layer groups, and 159 out of 230 space groups. Our results shed new light on superconductors with conventional pairing as candidates for topological superconductors.