# Non-Abelian statistics of half-quantum vortices in p-wave superconductors.

```@article{Ivanov2001NonAbelianSO,
title={Non-Abelian statistics of half-quantum vortices in p-wave superconductors.},
author={Dmitri A. Ivanov},
journal={Physical review letters},
year={2001},
volume={86 2},
pages={
268-71
}
}```
• D. Ivanov
• Published 3 May 2000
• Physics
• Physical review letters
Excitation spectrum of a half-quantum vortex in a p-wave superconductor contains a zero-energy Majorana fermion. This results in a degeneracy of the ground state of the system of several vortices. From the properties of the solutions to Bogoliubov-de Gennes equations in the vortex core we derive the non-Abelian statistics of vortices identical to that for the Moore-Read (Pfaffian) quantum Hall state.
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