  Topological superconductors classified as type D admit zero-energy Majorana
fermions inside vortex cores, and consequently the exchange statistics of
vortices becomes non-Abelian, giving a promising example of non-Abelian anyons.
On the other hand, types C and DIII admit zero-energy Dirac fermions inside
vortex cores. It has been long believed that an essential condition for the
realization of non-Abelian statistics is non-locality of Dirac fermions made of
two Majorana fermions trapped inside two well-separated vortices as in the case
of type D. Contrary to this conventional wisdom, however, we show that vortices
with local Dirac fermions also obey non-Abelian statistics.
