Theoretical modeling and properties of class DIII topological superconductors

We theoretically study topological superconductors (TSCs) with time-reversal (TR) symmetry in one- and two-dimensions (1D and 2D). In 2D, we introduce bilayer system with Rashba spin–orbit interaction (SOI), and find that the interplay between SOI and degrees of freedom of layers induces unconventional pairing states, which are topologically nontrivial and have the helical Majorana edge channels. We also find that a usual quantum nanowire on unconventional superconductor becomes a 1D TSC by means of the proximity effect. Majorana fermions at the ends of the wire offer a unique opportunity to relate fermion parity and non-local spin correlations.