Non-Abelian Statistics of Half-Quantum Vortices in p-Wave Superconductors
D. A. Ivanov
DOI 10.1103/PhysRevLett.86.268 · Physical Review Letters
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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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