Fig. 1: The schematic diagram of realizing topological superconductivity in systems with spin-orbit coupling.
a The schematic band dispersions with Rashba SOC (upper panel) and the Rashba SOC induced spin texture in the Fermi surface (lower panel). The system with Rashba SOC has a z-directional polar axis. Applying a magnetic field parallel to the z-directional polar axis introduces a Zeeman gap at k = 0. b The schematic band dispersions and the corresponding spin textures derived from a 2D system with an in-plane mirror symmetry (the C1v symmetry). The mirror plane contains an in-plane polar axis that lies in the atomic plane. The resulting in-plane polar field generates the unique Ising plus in-plane SOC, where its z-directional and in-plane components of the spin texture are plotted in the upper and lower panel respectively. Similar to the case of Rashba SOC, an in-plane magnetic field parallel to the in-plane polar axis leads to a Zeeman gap at k = 0. c In the superconducting state, the effective px + ipy pairing is induced by the magnetic field applied parallel to the polar axis. The upper and lower panel corresponds to the effective px + ipy pairing in the 2D system with the Rashba SOC and the Ising plus in-plane SOC respectively.
