To evaluate the sensing performance of the NC FeFETs, further chemical-sensing experiments were performed in aqueous solutions with various K
+ concentrations as testbeds. Fig. S7a depicts the transfer characteristics of the FeFET and the calculated
SS spectra, respectively. It is important to note that the HZO ferroelectric thin film was polarized in
Pdown state as the gate voltage (from −0.8 to 0.8 V) was swept within the negative coercive voltage (< −2 V,
Fig. 4b, see also the inset of
Fig. 3c) of the HZO ferroelectric thin film. Thanks to the ferroelectricity of the nanoscale ferroelectric HZO thin film, comparably lower
SS (Fig. S7b), as well as amplified voltage-gating efficiency due to NC effect can be achieved advantageously
42 for ion sensing with enhanced responsivity and sensitivity. It is noted that the FeFET was operated under the same gate step of 20 mV and constant output S/D voltage
VDS (
VDS = 0.1 V for n-type FETs and
VDS = −0.1 V for p-type FETs) for excluding a possible impact of gate voltage step and S/D applied voltage on the electrical behaviors
43-45. A Ag/AgCl reference electrode was adopted as the extended liquid gate to define the electrostatic potential in a home-made liquid chamber and was then connected with the on-chip gate electrode of NC FeFETs as illustrated in Figs. 1a and S8a.
Fig. 4a depicts the drain current (
IDS) plotted against the reference voltage (
Vref) in KCl solutions with increased concentrations from 1 mM to 1 M. The NC FeFET sensor yielded a stable and evident response towards positive
Vth. We plotted the deduced
Vth shifts against the KCl concentrations in the inset of
Fig. 4a, which exhibited a positive
Vth shift of 62 (±2) mV/dec, corresponding to an overall 76 times change in current at
Vref = −0.5 V, when the concentration varies from 1 mM to 1 M. The relative sensing response can be deduced as
$S_{\text {ConI }}=\frac{\left(I_{\mathrm{ConI}}-I_{\mathrm{Con}, \mathrm{ref}}\right)}{I_{\mathrm{Con}, \mathrm{ref}}}$. Repeating the measurements gave stable and reproducible results. In addition, Fig. S8b illustrates that the calculated
SS values here are consistent with those obtained in ambient air conditions. The observed potassium sensitivity of 62 mV/dec even slightly exceeds the theoretical value according to the thermodynamic Nernst limit (60 mV/dec at room temperature). The superior sensitivity beyond the Nernst limit can be ascribed to a capacitive effect, which can be referred to the gate voltage amplification due to ferroelectric NC effect
42. Remarkably, unless the baseline MOSFET has ideal
SS at 60 mV/dec limit, it is almost impossible to obtain sub-60 mV/dec
SS. Nevertheless, better
SS can be obtained in NC FET over the control device no matter the
SS is steep or not, i.e., the NC effect might not always lead to the sub-kT/q
SS, but it must contribute to the improved performance (
SS) compared to the baseline device
46,47. When comparing its performance with its counterparts without ferroelectric NC effect (see Fig. S7b), an improvement in the
SS values can be clearly identified, suggesting the effectiveness of the NC effect from HZO.