  A general principle of condensed matter physics prohibits the electric
current in equilibrium. This prevents a zero-resistance state realized solely
under a finite electric current, namely the unidirectional superconductivity.
In this Letter, we propose a setup to realize the unidirectional
superconductivity as a nonequilibrium steady state. We focus on the in-plane
transport of atomically thin bilayer superconductors lacking the in-plane
inversion symmetry and introduce dissipation by applying the out-of-plane
electric field and current. By analyzing the time-dependent Ginzburg-Landau
equations, we show that locally stable steady-state solutions appear only under
the in-plane supercurrent when the out-of-plane electric field exceeds a
threshold value. Our system also realizes the dissipation-induced
superconducting diode effect up to 100% efficiency by purely electric means.
