Topological order and non-Abelian statistics in noncentrosymmetric s-wave superconductors

We demonstrate that in two-dimensional noncentrosymmetric s-wave superconductors under applied magnetic fields for a particular electron density, topological order emerges, and there exists a zero-energy Majorana fermion mode in a vortex core, which obeys non-Abelian statistics, in analogy with p(x)+ip(y) superconductors, the Moore-Read Pfaffian quantum Hall state, and the gapped non-Abelian spin liquid phase of the Kitaev model.