Non-abelian statistics of half-quantum vortices in p-wave superconductors

D. A. Ivanov

doi:10.1103/physrevlett.86.268

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Non-abelian statistics of half-quantum vortices in p-wave superconductors

D. A. Ivanov

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Abstract

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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D. A. Ivanov. 2000-05-11. Non-abelian statistics of half-quantum vortices in p-wave superconductors. https://doi.org/10.1103/physrevlett.86.268

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