Fig. 7: Superconducting diode effect.

a The critical current on positive (blue line) and negative (red line) branches is plotted as a function of the magnetic field. The black curve represents the rectification effect. It is the mean value of the voltage measured as the bias current is set such that it exceeds the lower critical current but remains lower than the other critical current. b Theoretical dependencies \({I}_{C}^{+}({B}_{z})\) (blue line) and \({I}_{C}^{-}({B}_{z})\) (red line), which are obtained by numerical solution of Eqs. (2) and (7) with \(\tilde{f}={B}_{z}(d+w)(d+0.3537w)/{\phi }_{0}\) and other parameters given in the caption of Fig. 5.