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

Details Non-abelian statistics of half-quantum vortices in p-wave superconductors Non-abelian statistics of half-quantum vortices in p-wave superconductors

2000-05-03

arxiv.org/abs/cond-mat/0005069v2

Phys. Rev. Lett. 86, 268 (2001)

Physics

Condensed Matter

Superconductivity

5 pages, 3 figures, REVTeX, epsf. Reference added

Scientific paper

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.

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