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.
- Received 17 May 2000
DOI:https://doi.org/10.1103/PhysRevLett.86.268
©2001 American Physical Society