Fig. 4: Tunability of polarity and half-wave rectification.

a Contour plot of the voltage drop V versus biasing current I and gate voltage \({V}_{g}^{0}\) measured at 1 K for Rc = 22 kΩ. Yellow lines mark three regions: the central one, where reciprocal transport takes place, and the device behaves as a Josephson reciprocal element (cross symbol), and two external areas beyond the lines, where the polarity-dependent rectification behavior is achieved. At \(| {V}_{g}^{0}| \simeq\) 32 V, very large rectification efficiency (η ≃ 88 %) is achieved. b, Half-wave rectifier of the input AC current (upper panel). At \({V}_{g}^{0}=33\) V and for Rc = 12 kΩ, the output voltage follows the current only in the negative semi-period (i.e., when the weak link is dissipative, white bands); on the contrary, V = 0 in the positive semi-period of I when the Dayem bridge is superconducting (grey bands). White and grey bands slightly differ in width as the rectification is not ideal. The AC biasing current has an amplitude of 0.4 mA and frequency of 1 Hz.