Majorana zero modes bound to a vortex line in a topological superconductor

Details Majorana zero modes bound to a vortex line in a topological superconductor Majorana zero modes bound to a vortex line in a topological superconductor

2010-03-25

arxiv.org/abs/1003.4814v2

Phys. Rev. B 81, 214516 (2010)

Physics

Condensed Matter

Superconductivity

7 pages, v2: references added, typos corrected, almost final version

Scientific paper

10.1103/PhysRevB.81.214516

We explore Majorana zero modes bound to a vortex line in a three dimensional topological superconductor model, focusing our attention on the validity of the index theorem previously derived. We first solve the Bogoliubov-de Gennes equation at the zero energy to obtain the analytical index. We next calculate the topological index given by the order parameters. It turns out that they indeed coincide and that index theorem, which has been derived on the implicit assumption that a defect is point-like, is also valid for a line defect.

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