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

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2014

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en

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1-8

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PHYSICAL REVIEW B, Volume 89, issue 17

Abstract

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.

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Makhlin , Y , Silaev , M & Volovik , G E 2014 , ' Topology of the planar phase of superfluid He-3 and bulk-boundary correspondence for three-dimensional topological superconductors ' , Physical Review B , vol. 89 , no. 17 , 174502 , pp. 1-8 . https://doi.org/10.1103/PhysRevB.89.174502