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

Phys Rev Lett. 2001 Jan 8;86(2):268-71. doi: 10.1103/PhysRevLett.86.268.


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.