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

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arxiv cond-mat/0005069 v2 pith:ZEKZO4H7 submitted 2000-05-03 cond-mat.supr-con cond-mat.mes-hallquant-ph

classification cond-mat.supr-concond-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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Microscopic description of axisymmetric vortices in $^{3}P_{2}$ superfluids

    cond-mat.supr-con 2019-08 conditional novelty 8.0 of 10

    Microscopic calculations show the o vortex is the most stable axisymmetric vortex in 3P2 superfluids under strong magnetic fields and hosts two zero-energy Majorana fermions in its core.

  2. Non-Abelian topological superconductivity from melting Abelian fractional Chern insulators

    cond-mat.str-el 2025-12 conditional novelty 6.0 of 10

    Bandwidth tuning can melt a single ν=2/3 Jain fractional Chern insulator into five distinct superconductors, two with non-Abelian order, with higher-charge variants predicted at general Jain fillings.

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