Instability of the BCS Type Pairing in Magnetic Field Due to the Rashba Spin-Orbit Interaction and Supercurrent Generation by Spin-Twisting Itinerant Motion of Electrons in BCS Superconductors

In a uniform magnetic field, the BCS type pairing is taken over by the pairing of spin-twisting itinerant motion states due to the Rashba spin-orbit interaction. It gives rise to stable eddy currents forced to flow by the single-valued requirement of the wave function. They are stabilized by the energy gap of the electron pairing and protected by topological winding numbers of the wave function for the spin-twisting itinerant motion. The supercurrent is generated by a collection of such eddy currents.