Non-Abelian statistics of half-quantum vortices in p-wave superconductors.
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.
Ivanov
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Institut für Theoretische Physik, ETH-Hönggerberg, CH-8093 Zürich, Switzerland.