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arxiv: cond-mat/0005069 · v2 · pith:ZEKZO4H7new · submitted 2000-05-03 · ❄️ cond-mat.supr-con · cond-mat.mes-hall· quant-ph

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

classification ❄️ cond-mat.supr-con cond-mat.mes-hallquant-ph
keywords vorticeshalf-quantumnon-abelianp-wavestatestatisticsvortexbogoliubov-de-gennes
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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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