The current-voltage (I-V) characteristics were examined in both presence and absence of light, to study the impact of light on the sample. These tests revealed the PPC effect as an indication of increase in conductivity. Additionally, these measurements were performed while varying the available humidity exposed to the sample in order to investigate the NDR impact. The I-V curve for this effect is asymmetric, and there is an additional peak that results from an additional redox reaction emanating from available humidity. We will discuss our results in continue.
4.1. Mechanisms of photoconductance (The PPC and NPC effect)
The Ag/SnO2/FTO structure is a light-sensitive photo-memristor. When sample is exposed to white light, the excitons produced by the light can change the conductivity in two ways known as negative photoconductance (NPC) and positive photoconductance (PPC). The NPC, or non-photoconductive state, is characterized by the inhibition of charge carrier participation in current conduction due to light emission, leading to an increase in resistance. Charge confinement occurs within the interfacial region of two adjacent layers, leading to a reduction in conductivity. PPC, or positive photoconductance effect, is a phenomenon in which the absorption of light induces the flow of charge carriers, resulting in a decrease in resistance and an increase in current conduction.
Excitons are separated and generate charge carriers at the Ag and SnO2 interface in our structure. The existence of a trap located at the heterogeneous interface of two distinct materials leads to the separation of excitons and the birth of hot carriers, thereby augmenting conductivity. The memristivity of the sample is illustrated in Fig. 2 under two conditions: with and without the presence of light. Figure 2 (a) depicts the current-voltage (I-V) measurement in the absence of light, whereas the I-V measurement in the presence of white light and UV emission is depicted in Fig. 2 (b and c), respectively. In a dark environment, at a certain voltage (1 V) the current that passing in “on” state is five times greater than that of “off” state i.e. (\(\frac{{\text{I}}_{\text{o}\text{n}}}{{\text{I}}_{\text{o}\text{f}\text{f}}}=5.4)\) (from 0.002 to 0.00037 mA). The ratio \(\frac{{\text{I}}_{\text{o}\text{n}}}{{\text{I}}_{\text{o}\text{f}\text{f}}}=1.12\) decreases under light illumination and by applying UV light this ratio almost vanished. It is clear that white light and UV emission increased the conductivity, confirming the PPC effect.
In the absence of light, there is a relatively long Schottky barrier between Ag electrode and SnO2. When a small positive bias voltage is applied, most of the free carriers are trapped at the Ag/SnO2 interface and only a small number of them can cross the barrier and the loop in I-V curve hysteresis is considerably wide (Fig. 2(a)(.
By exposing the sample to the light, the movement of electrons facilitates due to the smaller Schottky barrier that electrons face between the Ag electrode and SnO2. So, the loop in I-V curve become narrower (Fig. 2 (b)). In this case, by applying light, excitons are generated in the presence of an external electric field and subsequently separate at the interface, as illustrated in (Fig. 2(e)(. The generation of charge carriers through the absorption of light has the potential to induce a notable impact on the energy band's curvature and the Schottky barrier's height (δ), as depicted in Fig. 2 (f). In the present state, the carriers exhibit easy traversing through barrier, resulting in an increase in conductivity and a narrower hysteresis loop in the I-V curve. The UV-visible spectrum analysis (Fig. 1 (c)) has revealed that SnO2 exhibits an absorption peak at a wavelength of 340 nm, which falls within the UV light range. It derives from the band gap transitions and indicates to the presence of crystalline SnO2. So, it can be recognized that by applying the UV light, the PPC effect occurs and it raises up the conductivity, which is in conformity with our result represented in (Fig. 2(c)). The intensification of the PPC effect and the near disappearance of the loop in the I-V curve can be attributed to the close proximity of the wavelength of UV emission and the band gap of SnO2.
4.2. The coexistence of the NDR effect and RS behavior
In this work, both NDR and RS properties observed in the Ag/SnO2/FTO structure by applying a low bias voltage. These effects were elicited by exposing the sample to moisture produced by a humidifier, concurrently with the application of a low bias voltage. The observation of the NDR effect is dependent on the ratio of water molecules found in the surrounding atmosphere. This phenomenon is inherent in normal conditions and can be enhanced through the introduction of additional humidity. In the typical ambient environment and at normal room temperature, the process of adsorption occurs where gaseous water molecules adhere to the surface of the structure. Following this, the water molecules then interact with the oxygen that is present within the lattice structure, as well as any oxygen vacancies that may be present and then produces hydroxide ions to migrate to SnO2 bulk. Valov and co-workers have pointed out that water molecules are easily absorbed in a thin layer with a nano porous structure. 48,49 In electrochemical concepts, the peaks observed in the plot serve as indicators of the redox reaction occurring within the sample. So, by applying extra humidity one can manipulate oxidation and reduction reactions and intensify the NDR effect.43
A significant NDR peak was observed when the sample was subjected to 95% humidity and the corresponding current-voltage (I-V) curve was measured simultaneously. After then, the source of the humidifier was turned off, and over time, the amount of humidity that was accessible within the container reduced. This measurement was repeated at 70% humidity after five minutes and 40% humidity after twenty.
The memristive characteristic, particularly observed in metal oxides, is influenced by the oxygen concentration within the surrounding environment. As depicted in Fig. 3, the passage of time leads to a reduction in humidity as a result of water molecule absorption by the structure, consequently leading to a decrease in atmospheric oxygen levels. The reduction of humidity from 95–40% resulted in a decrease in the NDR Peak. However, as depicted in Fig. 3(b and c), it is evident that the conductivity exhibited an increase over time. This can be attributed to the penetration of water molecules into the structure. The sharpness of the NDR peak at 95% relative humidity is roughly twofold greater than when the relative humidity is 70%. The relativity of ∆I/∆V reduced in 0.35% by decreasing of the humidity from 95 to 70% and this value reached 0.28% with 40% of humidity.
As previously discussed, there is a notable surface roughness that contributes to an increased effective surface area. This enhanced surface area facilitates the acceleration of the redox reaction and enables the preservation of conductive pathways. Although the tin dioxide developed in this study has a tetragonal structure, its polycrystalline structure and abundant grain boundaries with oxygen vacancies may provide ion localization.
The presence of oxygen facilitates the migration of metal ions, which is necessary for the formation of these filaments.43 The presence of oxygen vacancies in memristivity holds significant importance and plays a pivotal role, alongside various other factors including temperature, voltage, and material composition, in determining the behavior of these devices.
In order to elucidate the phenomenon of NDR, the current-voltage (I-V) characteristic curve was partitioned into six distinct operational stages ((i) to (vi) stages at Fig. 4 relative to Fig. 4 (c-h)). Water molecules provide \(\text{O}{\text{H}}^{-}\)ions, which have the ability to influence redox reactions during the I-V measurements. The absorbed water molecules in the reaction with oxygen inside the semiconductor as well as oxygen vacancies (\(\text{Ѵ}\)Ox) result in the formation of hydroxide ions (\(\text{O}{\text{H}}^{-}\)) as described by Equation \((1\)). Also, high effective surface area of SnO2 and abundant grain boundaries with provision of oxygen vacancies produce \(\text{O}{\text{H}}^{-}\). In step (i), according to the less \(\text{O}{\text{H}}^{-}\) migration at low bias voltage, memristor is still in HRS mode.
\({{\text{H}}_{2}\text{O}\left(\text{g}\right)+\text{O}}_{0}^{\text{x} }+{\text{Ѵ}}_{\text{O}\text{x}} \rightleftarrows 2\text{O}{\text{H}}^{-}\) \(\left(1\right)\)
This equation is known as hydric reaction.46 Where \({\text{O}}_{0}^{\text{x} }\) and \({\text{Ѵ}}_{\text{O}\text{x}}\) denote the oxygen in the lattice and oxygen vacancies, respectively. By changing the voltage from 0 to -1.5 V, a large volume of \(Ѵ\)Ox migrates toward the Ag electrode, which causes the formation of a conductive filament of \(Ѵ\)Ox between the Ag and FTO electrodes. Afterward, the memristor switches into LRS mode (SET process).
In step (ii), as the voltage changes from − 1.5 V to 0, the memristor remains in the LRS until the slope of the I-V curve experiences a significant decrease as illustrated in Fig. 4(d) and associated with a voltage of -0.6 V in Fig. 4(a). Then according to the slope of the I-V curve, the memristor is placed in a HRS. The observed rise in resistance can be attributed to a concurrent reduction in the electric field. At this stage, regardless of the restriction imposed by the negative bias voltage on the migration of \(\text{O}{\text{H}}^{-}\) ions, these ions actively contribute to the electrical conductivity and enhance the current.
In step (iii), when the voltage increases from 0 to 1.5 V, the migration of Ag + ions towards the FTO electrode is facilitated by positive bias voltages and reduced by an electron to form the Ag as stated in Eq. (2). By increasing the electric field, the Ag + ions accumulate at the interface of FTO, eventually forming a conductive filament. Additionally, the presence of a positive bias at the interface of the FTO electrode encourages the attraction of \(\text{O}{\text{H}}^{-}\) ions. Hence, this process facilitates the formation of an \(\text{O}{\text{H}}^{-}\)conductive pathway, ultimately leading to an increase in the current. At the voltage of 1.5, the simultaneous presence of two Ag and \(\text{O}{\text{H}}^{-}\) pathways are responsible for the conductivity of the sample. However, the filament of the oxygen vacancies is also weakly present.48
\({\text{A}\text{g}\rightleftarrows \text{A}\text{g}}^{+ }+{\text{e}}^{-}\) \(\left(2\right)\)
Plus, during this particular stage, the oxygen vacancies progressively migrate back to the FTO electrode, thereby signifying a smooth relaxation of the \(Ѵ\)Ox filament.
In step (iv), the reduction of voltage from + 1.5 V to 0 results in a decrease in positive bias, which weakens the Ag filament. Over time, the \(\text{O}{\text{H}}^{-}\) ions find an opportune moment to enhance their strength and according to Equation \((1\)) starts to stablish a conductive path of oxygen vacancies. And by some means, these filaments are in the trade-off, and regarding the competition between them the current may remain intact. Also, it may face a decrease and appear as a deep in the I-V curve. (Here the current remained unchanged until the threshold voltage “Vth” was reached Vth = 1.3 V (see Fig. 4 (a)- step iv and Fig. 4 (d)).
In stage (v), combined with the argument presented in the step prior, at the threshold voltage (Vth), alongside the presence of dwindled silver and the \(\text{O}{\text{H}}^{-}\) filament, the oxygen vacancy filaments formed with the highest quantity resulting in a peak in current despite the reduction of voltage. The presence of these three filaments is responsible for the appearance of this peak, which induces the system to switch into the LRS (see Fig. 4 (a)- step v and Fig. 4 (g)).
The Ag+ ions then migrate to the FTO. In this stage, oxidation and electron loss take place (see Equation \(\left(3\right)\)). These electrons also contribute to the generation of peak current. In fact, at this juncture, two constituents of the conductive filament, \(\text{O}{\text{H}}^{-}\) and Ag+, as well as electrons expelled by oxidation reactions, contribute to the generation of current.49
\({2\text{H}}_{2}\text{O}\leftrightarrow {\text{O}}_{2 }+4{\text{H}}^{+}+4{e}^{-}\) \(\left(3\right)\)
In stage (vi), through the progressive reduction of voltage and decrease in the applied field, the driving force of \(\text{O}{\text{H}}^{-}\) and Ag+ is weakened and both \(\text{O}{\text{H}}^{-}\) and Ag+ filaments are reduced until both filaments are ruptured and the value of current becomes zero. While, in this stage, the filament of oxygen vacancy has the highest concentration until the available water splitting decreases due to a drop in voltage and therefore the reduction in available \(\text{O}{\text{H}}^{-}\)which is responsible for the intensification of oxygen vacancies. And the system is managed by HRS.
It worth to mention that an unstable AgOH is formed (Equation\(\left(4\right)\)) due to the reaction of \(\text{O}{\text{H}}^{-}\) and Ag+ and immediately decomposes to Ag2O at room temperature. At this time, the ion migration in the body and surface of SnO2 is limited by Ag2O. As a limitation of this structure, it should be mentioned that there is an undesirable reaction that leads to producing silver oxide. The current limitation by Ag2O is also weak. Rupturing and tearing the conductive filaments cause the device to return to HRS mode (Equation \(\left(5\right)\)).
\({\text{A}\text{g}}^{+}+\text{O}{\text{H}}^{-}\leftrightarrow \text{A}\text{g}\text{O}\text{H}\) \(\left(4\right)\)
\(2\text{A}\text{g}\text{O}{\text{H}}^{-}\leftrightarrow \text{A}{\text{g}}_{2}\text{O}+{\text{H}}_{2}\text{O}\) \(\left(5\right)\)
4.2.1 Fitting the current–voltage curves with the Space Charge Limited Current (SCLC) model
To describe charge transport in thin-film devices, such as memristors, SCLC model is commonly used. This model can be described by Equation\(\left(6\right)\). 47,50
\(\text{J} \propto \frac{{\text{V}}^{\text{m}+1}}{{\text{d}}^{2\text{m}+1}}\) \(\left(6\right)\)
Where J is the current density, “V” is the bias voltage in units of Volt, “d” is the thickness of the tin dioxide in units of nm and “m” is the fitting index which is a dimensionless constant parameter.
The SCLC model contains three regimes that describe the (I-V) characteristics of the device. (i) Low voltage Ohmic region which is described by Ohm's law, J = GV, (ii) Child's square law51 region which J ∝ V2 and (iii) Current steep increase region which J ∝ Vα, where α represents the order of voltage between 3 and 4. At a relatively low bias voltage region, (m = 0), the current density is dominated by Ohm's law and it is proportional to the applied voltage. In a fairly high bias voltage region, (m = 1), the current density is dominated by Child's law. So, the current density increases with the square of the applied voltage and can be described by J ∝ V2. To explain this region, double-log I–V curves in the positive voltage region are replotted in Fig. 4 (b). By obtaining the slopes of different regions in HRS mode, the fitting value of 2.13 and 2.26 imply that the Child's law (i.e., the oxygen vacancy migration) may dominate the charge behaviors in this region. In LRS mode at the low bias, the fitting value of 1.5 indicates that the Ohmic conduction47 (i.e., the Ag metallic filaments) is dominated. In high bias voltage region (both in HRS and LRS part) the fitting value of 3.7,4.09 and 6.01 indicate the Schottky tunneling mechanism. The Schottky tunneling model 50, 52–54 can be described by Equation \(\left(7\right)\) and\(\left(8\right)\)
\(J \propto \text{exp}(\frac{\beta }{{k}_{B}T}{E}^{\frac{1}{2 }}-\frac{\phi }{{k}_{B}T})\) \(\left(7\right)\)
\(\beta =\sqrt{\frac{{q}^{3}}{k\pi {\epsilon }_{0}{\epsilon }_{r }}}\) \(\left(8\right)\)
That \(\phi\), \({k}_{B}\), T, E, q, \({\epsilon }_{0}\) and \({\epsilon }_{r }\)denotes the Schottky barrier, Boltzmann constant, temperature, electric field, electric charge, vacuum permittivity and relative permittivity, respectively.