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 $p_x+i{p}_y$ superconductors, the Moore–Read Pfaffian quantum Hall state, and the gapped non-Abelian spin liquid phase of the Kitaev model.

• Received 3 April 2008

DOI:https://doi.org/10.1103/PhysRevB.77.220501