  Recently, the possibility to tune the critical current of conventional
metallic superconductors via electrostatic gating was shown in wires, Josephson
weak-links and superconductor-normal metal-superconductor junctions. Here we
exploit such a technique to demonstrate a gate-controlled vanadium-based Dayem
nano-bridge operated as a \emph{half-wave} rectifier at $3$ K. Our devices
exploit the gate-driven modulation of the critical current of the Josephson
junction, and the resulting steep variation of its normal-state resistance, to
convert an AC signal applied to the gate electrode into a DC one across the
junction. All-metallic superconducting gated rectifiers could provide the
enabling technology to realize tunable photon detectors and diodes useful for
superconducting electronics circuitry.
