Non-Abelian Statistics of Half-Quantum Vortices in-Wave Superconductors
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- 8 January 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 86 (2), 268-271
- https://doi.org/10.1103/physrevlett.86.268
Abstract
Excitation spectrum of a half-quantum vortex in a -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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