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

Journal Article · Tue Jun 01 00:00:00 EDT 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.81.214516· OSTI ID:21386738

Fukui, Takahiro ^[1]

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1. Department of Physics, Ibaraki University, Mito 310-8512 (Japan)

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 pointlike, is also valid for a line defect.

• OSTI ID: 21386738
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 81, Issue 21; Other Information: DOI: 10.1103/PhysRevB.81.214516; (c) 2010 The American Physical Society; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL DEFECTS
EQUATIONS
LINE DEFECTS
MAJORANA THEORY
ORDER PARAMETERS
SUPERCONDUCTORS
THREE-DIMENSIONAL CALCULATIONS
VORTICES
CRYSTAL STRUCTURE
DIMENSIONLESS NUMBERS