Phase diagram of a surface superconductor in parallel magnetic field

Universal phase diagram of 2D surface superconductor with generic Rashba interaction in a parallel magnetic field is found. In addition to uniform BCS state we find two inhomogeneous superconductive states, the stripe phase with $\Delta (\mathbf{r})\propto \cos (\mathbf{Qr})$ at high magnetic fields, and a new «helical» phase with $\Delta (\mathbf {r}) \propto \exp (i\mathbf{Qr})$ which intervenes between BCS state and stripe phase at intermediate magnetic field and temperature. We prove that the ground state for helical phase carries no current.