2000/05/11 by D. A. Ivanov · 1 citation
Physics and Astronomy · #cond-mat.supr-con #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physrevlett.86.268
published as Phys. Rev. Lett. 86, 268 (2001) · 5 pages, 3 figures, REVTeX, epsf. Reference added
arxiv created 2000/05/11 · arxiv updated 2016/08/31
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.