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Does the existence of Majorana zero mode in superconducting vortices imply the superconductivity is topologically non-trivial?

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arxiv 1805.12150 v2 pith:3Q3OK36F submitted 2018-05-30 cond-mat.str-el cond-mat.supr-con

Does the existence of Majorana zero mode in superconducting vortices imply the superconductivity is topologically non-trivial?

Lokman Tsui , Zi-Xiang Li , Yen-Ta Huang , Steven G. Louie , Dung-Hai Lee This is my paper
classification cond-mat.str-el cond-mat.supr-con
keywords majoranasuperconductivitymodesnon-trivialpresencetopologicallyzerochiral-dispersing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the presence of Majorana zero modes (2D), and chiral-dispersing Majorana modes (3D), in the vortex cores of superconductors are neither sufficient nor necessary conditions for one to conclude the superconductivity is topologically non-trivial. We discuss the relevance of this result to the proximity-induced superconductivity, in the presence of magnetic field, on the surface of topological insulators.

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