超流$^3$ He平面相的拓扑和三维拓扑超导体的体边界对应
Topology of the planar phase of superfluid $^3$He and bulk-boundary correspondence for three dimensional topological superconductors
摘要：
利用超流$^3$ He平面相的对称性，给出了可能相的拓扑分类.与B相（Altland和Zirnbauer分类中的DIII类）相比，它具有额外的对称性，这修改了拓扑结构。我们分析的拓扑从动量空间的显式映射，也讨论了显式的拓扑不变量的B相。我们进一步表明，如何散装边界对应的三维B相可以推断出的二维平面相。本文导出了具有DIII类对称性的三维超导体表面存在拓扑稳定零模的一般条件。
英文摘要：
We provide topological classification of possible phases with the symmetry of the planar phase of superfluid $^3$He. Compared to the B-phase (class DIII in classification of Altland and Zirnbauer), it has an additional symmetry, which modifies the topology. We analyze the topology in terms of explicit mappings from the momentum space and also discuss explicitly topological invariants for the B-phase. We further show, how the bulk-boundary correspondence for the 3D B-phase can be inferred from that for the 2D planar phase. A general condition is derived for the existence of topologically stable zero modes at the surfaces of 3D superconductors with class DIII symmetries.
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