Admittance parameters were recorded by using a Keithley 4200SCS semiconductor analyzer. The bias voltage was applied to the top electrode with the bottom electrode grounded. A 30 mV rms-ac signal was superimposed to DC bias. A parallel admittance model which provides G and B values was selected to perform the characterization. To obtain the memory maps we apply a return-to-zero voltage pulse sequence as follows: with the sample at the HRS state, we apply a positive voltage pulse during 1 ms, and then the voltage returns to zero. At this moment we measure the admittance at 0 volts (G0, B0). The pulse amplitude (VP) is linearly increased until the HRS to LRS state transition (set) occurs. Once the sample is at the LRS state, VP is linearly decreased to negative values. When VP reaches negative values enough to take the device back to the HRS state (reset), it is linearly increased again until 0 V. The plots of G0 and B0/ω as a function of the programming voltage, VP, previously applied constitute the memory maps.
In Figs. 1-3 we show the results obtained at 100 kHz for Pt/Ta2O5-TiO2-Ta2O5/Ru/TiN, Pt/ZrO2:Co2O3/TiN/Si/Al, and Pt/ZrO2-Co2O3/TiN/Si/Al MIM samples. In all cases, we observe that G0 and B0 are very stable in a wide VP range, so indicating that the conductive filaments are also very stable at both states. Reset and set transitions are very sharp, but reset is more vertical than set. That is, the filament restoring is gradual, whereas it is instantaneously broken. Figs. 2 and 3 show results for two different dielectric layers containing ZrO2 and Co2O3. The first one is doped ZrO2, i.e., ZrO2:Co2O3, whereas the second one is a double layer stack of 14 nm of ZrO2 over 12 nm of Co2O3. Set occurs in one step at negative polarity in the case of doped ZrO2 sample (Fig.2); in the bilayer (Fig.3) set occurs in two steps at positive polarity. In the last case, the conductive filaments restoring occurs with different dynamics at each layer.
According to our recently proposed model [6], the conductive filament behaves as an inductance (L0) in series with a resistive term (R0), and both are in parallel with the capacitance of the MIM structure (C). Using this equivalent circuit, we have extracted L0 and R0 for the Pt/Ta2O5-TiO2-Ta2O5/Ru/TiN sample (Fig. 4). Again the signals, and hence the filaments, are very stable at both states, and set and reset transitions occur sharply. The inductive term is negligible at the HRS state, and reaches high values (50 µH) when the filament is formed. This indicates the existence of delays between the current and voltage caused by charge transport mechanisms occurring at the filaments.
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