Topology of the planar phase of superfluid He-3 and bulk-boundary correspondence for three-dimensional topological superconductors

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We provide topological classification of possible phases with the symmetry of the planar phase of superfluid 3He. Compared to the B phase [class DIII in classification of A. Altland and M. R. Zirnbauer, Phys. Rev. B 55, 1142 (1997)], 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 three-dimensional (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.


Original languageEnglish
Article number174502
Pages (from-to)1-8
JournalPhysical Review B
Issue number17
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

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