Fig. 3: Charge-governed asymmetric ion transport.

a, b I–V curves of the separate ANF membrane under a symmetric voltage of ±2 V. c, d I–V curves of the separate polyelectrolyte gel membrane under a symmetric voltage of ±2 V. e, f I–V curves of the heterogeneous membrane under a symmetric voltage of ±2 V. The cathode is placed in the ANF side and the testing electrolyte solutions for the above three conditions are all 0.01 M KCl (pH ~ 7). g The transmembrane ionic conductance deviates remarkably from the bulk value (dashed line) when the electrolyte concentration is <0.1 M, indicating a charge-governed ionic transport. Error bars represent SD (n = 3).