Journal of Non-Crystalline Solids 598 (2022) 121925 Contents lists available at ScienceDirect Journal of Non-Crystalline Solids journal homepage: www.elsevier.com/locate/jnoncrysol Electronic structure of silicon oxynitride films grown by plasma-enhanced chemical vapor deposition for memristor application T.V. Perevalov a, *, V.A. Volodin a, b, G.N. Kamaev a, A.A. Gismatulin a, S.G. Cherkova a, I.P. Prosvirin c, K.N. Astankova a, V.A. Gritsenko a, d a Rzhanov Institute of Semiconductor Physics SB RAS, 13 Lavrentiev aven., Novosibirsk 630090, Russia Novosibirsk State University, 2 Pirogov str., Novosibirsk 630090, Russia Boreskov Institute of Catalysis SB RAS 5 Lavrentiev aven., Novosibirsk 630090, Russia d Novosibirsk State Technical University, 20K. Marx aven., Novosibirsk 630090, Russia b c A R T I C L E I N F O A B S T R A C T Keywords: Silicon oxynitride Chemical vapor deposition Electronic structure XPS FTIR Memristors The electronic structure and optical properties of SiOxNy:H films enriched with silicon obtained by plasmaenhanced chemical deposition are studied. It is shown, that with the plasma generator power growth, the content of silicon (amorphous silicon clusters) and oxygen decreases, whereas the nitrogen content increases. Thus, the SiOxNy:H film composition can be effectively varied both by changing the gas flow ratio in the growth chamber and by changing the plasma generator power. The electronic stricture of SiOxNy of various x and y values is calculated from the first principles for the model structures, and the energy diagram, as well as the bandgap dependence on the oxygen content, is obtained. It is found that p+-Si/SiOxNy:H/Ni structures, have the properties of memristor bipolar type: they are reversibly switched between high and low resistance states. These memristors are forming-free: the initial state has a close resistance to the low resistance state. 1. Introduction Silicon oxide and silicon nitride enriched with silicon (SiOx<2 and SiNx<4/3) are dielectrics compatible with the standard technological processes of modern microelectronics and perspective for using them as an active layer in a resistive random access memory (RRAM) [1–5]. RRAM elements or memristors are characterized by the reversible resistive switching of the oxide layer in a metal-dielectric-metal struc­ ture between high resistance states (HRS) and low resistance states (LRS). According to the generally accepted concept, the resistive switching occurs during the current pulse action and the electro­ migration of oxygen vacancies in SiOx or nitrogen vacancies in SiNx, with the conductive filament formation: Si rich nanowires with a diameter of 1–5 nm [2,6]. It is not surprising that silicon oxynitride films (SiOxNy) also could be used as a memristor active layer [7–12]. Despite the prospects of using this dielectric for memristors, in particular, the possibility of combining the advantages of SiOx and SiNx-based mem­ ristors, it has been studied significantly less than SiOx and SiNx. Silicon oxynitride films can be obtained by various methods. SiOxNy films obtained by magnetron deposition do not contain hydrogen, and it is possible to vary the oxygen content in the films by changing the ox­ ygen flow in the reactor [8]. SiOxNy films obtained by the treatment in the oxygen plasma of stoichiometric silicon nitride, deposited by low-pressure chemical vapor deposition at 810 ◦ C, were studied in [9]. A two-layer SiOxNy/Si3N4 structure was obtained, and the memristors were fabricated. In these memristors, the resistive switching with a large memory window (resistance ratio in ON- and OFF-states) was observed, but the forming process is required for them. A two-layer structure based on silicon oxynitrides was also used to fabricate a memristor and a selector in one cell in the studies [10]. In [11] it was shown that Ag: SiOxNy-based memristors are forming-free and belong to the type conductive bridge random access memory with programmable metalli­ zation cells. The memristors based on silicon oxynitride films grown by the plasma-enhanced chemical vapor deposition (PECVD) method have been obtained recently in [12]. It was shown that they are of stable intermediate resistance states, in addition to HRS and LRS, and the possibility of using SiOxNy-based memristor for neural networks was demonstrated. The advantage of the PECVD method for the SiOxNy film synthesis is low deposition temperature. The use of deposition processes * Corresponding author. E-mail address: timson@isp.nsc.ru (T.V. Perevalov). https://doi.org/10.1016/j.jnoncrysol.2022.121925 Received 15 July 2022; Received in revised form 14 September 2022; Accepted 15 September 2022 Available online 13 October 2022 0022-3093/© 2022 Elsevier B.V. All rights reserved. T.V. Perevalov et al. Journal of Non-Crystalline Solids 598 (2022) 121925 with a low thermal budget is important, since it allows obtaining memristor structures at the end of all technological processes (the so-called back-end-of-line processes) [13]. However, PECVD silicon oxynitride contains a significant amount of hydrogen (Si–H bonds) and is usually indicated as SiOxNy:H. The hydrogen content in such films is uncontrolled, and it can significantly affect the electrophysical charac­ teristics of the films. Usually, when synthesizing silicon oxynitride by the PECVD method, ammonia (NH3) and monosilane (SiH4) are used, since it is an easily controlled process due to the proximity dissociation energies of NH3 (3.6 eV) and SiH4 (3.1 eV). It is known that using ni­ trogen (N2), that has a dissociation energy of about 9.9 eV, instead of NH3 makes it possible to reduce the hydrogen content in the films [14]. One of the key problems in the RRAM development today is the high voltage of the memristor structure first switching from the initial resis­ tance states to the LRS (problem of forming). A possible solution of this problem for memristors based on SiOx, SiNx and, most likely, SiOxNy:H is using an active layer highly enriched with silicon. SiOxNy:H films enriched with silicon can be synthesized by the PECVD method by reducing the oxygen and nitrogen content in the plasma-forming gas mixture. Thus, the aim of this work is to study the electronic structure and optical properties of SiOxNy:H films enriched with silicon of variable compositions deposited by the PECVD method from a mixture of SiH4, N2 and O2 and to ascertain whether the films obtained are suitable for the use as the active medium of a forming-free RRAM cell. spectroscopy and Fourier transformed infrared (FTIR) spectroscopy. The Raman spectra were recorded using a T64000 spectrometer (Horiba Jobin Yvon) at room temperature in the backscattering geometry; for excitation, a solid-state laser with the wavelength λ = 514.5 nm was used. The laser beam power reaching the sample was 1 mW, and the spot diameter was 20 μm. The light with the 514.5 nm wavelength absorption in the studied films is small, and used measurement mode did not lead to the local heating of the samples during the measurement. Thus, all Raman spectra for 200 nm thick films were measured at room temper­ ature. Thin films that have been grown for the manufacture of mem­ ristors have not been studied using Raman spectroscopy since the Raman signal from them is very small. The spectral resolution was better than 2 cm− 1. The FT-801 Fourier spectrometer (SIMEKS, Russia) was used to record FTIR absorption spectra. The spectral range was 650–4000 cm− 1, and the spectral resolution was 4 cm− 1. A silicon substrate without a film was used for a reference signal. The optical properties of the SiOxNy:H films in the near-IR, visible and UV ranges were studied using transmission and reflectance spec­ troscopy. To study the transmission spectra, the same films were grown on transparent silica substrates. The SF-56 spectrophotometer (LOMOSpektr, Russia) with a special setup for the reflection study was used. The spectral resolution was 2 nm, and the measurement range was from 1100 to 190 nm. To obtain the optical absorption dispersion α, the developed computer program was used, which considers the interfer­ ence in the thin SiOxNy:H film. The electronic structure of SiOxNy was calculated within the density functional theory (DFT) in a periodic supercell model in the Quantum ESPRESSO package [16]. Since, according to the XPS data, the studied films are enriched with silicon, model structures with x = 0.33, 0.5 and 0.33 < y < 1.33 were created for SiOxNy electronic structures simulation according to the following principles. Firstly, SiN0.33O1.5 and SiN0.5O1.25 structures were created as it was proposed in [17]: by replacing a pair (four) of oxygen atoms with nitrogen and removing one (two) oxygen atoms in the 18- (24-) atomic cell α-SiO2 (β-SiO2). The choice of the nitrogen atom and the vacancy position were determined by the search for the configuration with the lowest total energy of the structure. Secondly, in the structures found, pairs of oxygen atoms were sequen­ tially removed from all possible positions and a structure with a minimal energy was also selected. Thus, SiN0.33Oy structures with y = 1.33, 1.0, 0.67 and 0.33, as well as SiN0.5Oy structures with y = 1.25, 1.0, 0.75 and 0.5, were created. Structural relaxation calculations were carried out with a local exchange-correlation functional PBEsol, and the total den­ sity of electronic states (TDOS) spectra were calculated with a hybrid functional PBE0 with the Hartree-Fock exchange fraction of 0.16. Optimized norm-conserving Vanderbilt pseudopotentials and the plane-wave basis cutoff energy of 1088 eV were used. Searching the structure was carried out with a 2 × 2 × 2 K-point grid, and TDOS calculations were performed with a 12 × 12 × 12 grid. The method used gives a close to the experimental bandgap value Eg = 8.0 eV for SiO2 [18]. To measure the current-voltage (I–V) characteristics, the metalinsulator-semiconductor (MIS) structures with 33 nm silicon oxy­ nitride were fabricated. The 200 nm thick Ni top electrodes with an area of ~0.5 mm2 were deposited by magnetron sputtering in the Ar atmo­ sphere using a special mask. To improve the back contact, the Ni layer of the same thickness was deposited on the back side of p+-Si. The I–V characteristics of the MIS structures were measured using an Agilent B2902A two-channel source-meter using connected micro positioners as probe electrodes. The I–V measurements at different temperatures were carried out in the LTS420E Linkam cell by using the Keythley 2400 and temperature controller Linkam T95. 2. Materials and methods SiOxNy:H films enriched with silicon were synthesized by PECVD from a gas mixture of SiH4, N2 and O2 on the p-type Si (100) wafers cleaned from natural oxide. The PECVD setup with a wide-aperture inductive plasma source with frequency 13.56 MHz and a turbomo­ lecular pump was used. The residual pressure in the reactor was less than 10− 6 Torr. The substrate temperature was kept at 200 ◦ C. The SiH4 flow supplied to the reaction zone (gas mixture of 10% SiH4 diluted with Ar) was constant and kept to 10 sccm. The films were synthesized at two nitrogen flow rate values 5 and 6 sccm. This nitrogen flow values range is optimal as it was found earlier when studying the PECVD SiNx films, since, at a lower flow, the films are not suitable for memristors, and, at a higher one, the nitrogen content in plasma increases very slowly. Ni­ trogen gas was diluted with oxygen, so that the oxygen concentration in the mixture is less than 1%. The low oxygen content in the gas mixture is needed to obtain the films highly enriched with silicon since oxygen has a very high chemical activity with silicon and, besides, the high oxida­ tion rate is expected due to the presence of Ar, as it was observed earlier for the silicon oxidation [15]. The three films synthesized at the 5 sccm N2 flow with plasma generator power 50, 100 and 150 W (further indicated as 5–50, 5–100 and 5–150), and a film synthesized at the 6 sccm N2 flow with plasma generator power 100 W (denoted 6–100) were obtained. For X-ray photoelectron spectroscopy (XPS) and optical studies, silicon oxynitride films with a thickness of about 200 nm were obtained. The SiOxNy:H film electronic structure and composition were studied with XPS. The photoelectron spectra were recorded using an SPECS spectrometer with a PHOIBOS-150-MCD-9 analyzer and an FOCUS-500 monochromator (Al Kα radiation, hν = 1486.74 eV, 200 W). The binding energy (BE) scale was pre-calibrated using the positions of the peaks of Au4f7/2 (BE = 84.0 eV) and Cu 2p3/2 (BE = 932.67 eV) core levels. The peaks binding energy (BE) was calibrated by the C 1s peak position (284.8 eV) corresponding to the surface hydrocarbon-like deposits. The survey and the narrow spectra were registered at the analyzer pass en­ ergy 20 eV. The atomic ratios of the elements were calculated from the integral photoelectron line intensities (Si 2p, O 1s and N 1s), which were corrected by the corresponding sensitivity factors based on Scofield photoionization cross-sections. The SiOxNy:H film structure was studied using both Raman scattering 3. Results and discussion The XPS spectra of the studied films demonstrate the presence of intense peaks from Si, N, C and O (Fig. 1(a)). The C 1s peak intensity is 2 T.V. Perevalov et al. Journal of Non-Crystalline Solids 598 (2022) 121925 Fig. 1. XPS of the four silicon oxynitride films: (a) survey spectra, (b) Si 2p level, (c) N 1s level and (d) O 1s level with deconvolution (lines). almost the same for all samples and is due to a random hydrocarbon-like pollution on the film surface. As is shown below, according to the FTIR spectroscopy data, there is no carbon in the film bulk. On the Si 2p level photoelectron spectra there are three peaks that can be attributed to the binding energies corresponding to Si 2p in silicon (99.4 eV), Si 2p in silicon nitride (101.7 eV) and Si 2p in silicon oxide (103.2 eV) [19,20] (Fig. 1(b)). However, the presented Si 2p spectra are not decomposed correctly into the sum of three Gaussian functions, and, therefore, the studied films are not a simple mixture of Si, SiO2 and Si3N4. The signal from silicon (Si+0, 99.4 eV) is most significant for sample 5–50, which indicates the greatest enrichment in silicon (and presence of silicon clusters), compared to other samples. The relative intensity of the 101.7 eV signal in the XPS Si 2p, as well as the intensity of N 1s (397.5 eV), increases in a sequence of samples 5–50, 5–100, 6–100 and 5–150 (Fig. 1 (c)). This indicates an increase in the Si–N bonds concentration and the nitrogen content in the studied series, which is quite expected. The atomic ratio y = [N]/[Si] for samples 5–50, 5–100, 6–100 and 5–150 is 0.09, 0.34, 0.43 and 0.51 respectively. The increase in the nitrogen concentration in this sequence of samples is expected. The hydrogen related states identification in the studied films is hardly possible due to the lack of criteria for determining the spectral characteristics of Si–H and N–H bonds against the background of a signal from silicon (in the Si 2p XPS) and nitrogen atoms (in the N 1s XPS) in many different charge states. For the correct identification of oxygen chemical state in the studied samples, the deconvolution for O 1s spectra was carried out (Fig. 1(d)). Taking into account the relatively high content of carbon in the nearsurface region, the main O 1s peak at 532.5 eV can be attributed to Si–O bonds, while the peaks at 531.3 ± 0.2 eV and 533.5 ± 0.2 eV to – O and C–O oxygen functional groups, respectively [21]. The C– parameter x = [O]/[Si] estimation gives the values of 0.87, 0.77, 0.78 and 0.69 for samples 5–50, 5–100, 6–100 and 5–150, respectively. Although the absolute accuracy of the atomic ratio determination by the XPS does not allow a reliable establishing of the second decimal place, nevertheless, the method’s relative accuracy allows one to accurately compare the data for different samples. So, one can say that the oxygen concentration in samples 5–100 and 6–100 is almost the same. With an increase in the plasma generator power, a monotonic decrease of the oxygen content is observed. The decrease in the oxygen content with an increase in the plasma generator power can be explained by the corre­ sponding increase in the nitrogen content and a very low oxygen con­ centration in the plasma-forming mixture. It is worth considering that the obtained oxygen content is, probably, slightly overestimated due to the oxidation of the samples surface in the air. Therefore, the conclu­ sions made regarding the synthesis parameters effect on the oxygen content in PECVD silicon oxynitride films require an independent confirmation by other methods. Nevertheless, the XPS results analysis makes it possible to roughly identify the studied SiOxNy 5–50, 5–100, 6–100 and 5–150 films in their composition as SiO0.9N0.1, SiO0.8N0.3, SiO0.8N0.4 and SiO0.7N0.5. The accuracy of the presented values in the film composition is typical of the XPS method and is 5–10%. The analysis of Raman spectra confirms the presence of excess Si (Si–Si bonds) in the studied SiOxNy:H films (Fig. 2). Since the films are almost transparent or semitransparent, the features from the silicon or quartz substrate appear in their spectra. An intense peak at 520.5 cm− 1 from the long-wavelength optical phonons in Si and broad bands from the two-phonon scattering (2TA and TA+LA) is observed (Fig. 2(a)). For sample, 5–50 distinct bands from amorphous Si (a-Si) are visible. These 3 T.V. Perevalov et al. Journal of Non-Crystalline Solids 598 (2022) 121925 Fig. 3. FTIR spectra of SiOxNy:H films synthesized under various conditions. vibrations decreases [27]: in our case it is ~950 cm− 1. Thus, the IR spectroscopy data show that almost all kinds of tetrahedra can be contain in the films. The dominant peaks associated with the presence of hydrogen in the studied films are the peaks due to the stretching vibrations of Si–H bonds (2080–2220 cm− 1) and N–H bonds (~3335 cm− 1). If, in the latter case, the vibration frequency is almost independent on the nearest environment of the nitrogen atom (the peak position is within 3325–3350 cm–1 [23,28]), then, in the case of Si–H bonds, this dependence is significant. In the case of the Si–Si3H tetrahedron, the frequency is ~2000 cm− 1, and in the case of Si–Si2H2 and Si–SiH3 tetrahedra, the frequency reaches 2100–2120 cm− 1 [29]. In the case of Si–SiυNδHƞ tetrahedra the frequency depends on parameters υ, δ, and ƞ, and for our samples this peak position varies from 2080 to 2220 cm− 1. Such a dependence was observed earlier for SiNx:H films when the parameter x varied over a wide range [30]. The shift of the Si-H peak position is most obvious for the 5–150 sample, which, according to the XPS and Raman data, does not contain amorphous silicon clusters. It is known that C–O bond vibration frequency is ~1170 cm− 1, and C–O–H and C–H bond vibration frequencies are in the range from 1320 to 1455 cm− 1 [31]. Thus, there are no peaks from the C–H bond vibrations in the studied films. Therefore, the carbon concentration is insignificant throughout the films thickness. The carbon concentration is high only in the near-surface region of the studied films, which is clearly demonstrated by the XPS data (Fig. 1). However, the depth of the XPS analysis is only 3–4 nm, whereas the FTIR signal is recorded from the entire thickness of 200 nm films. After subtracting the background, the FTIR spectra were decomposed into Gaussian curves [32]. According to the analysis of this decompo­ sition, an increase in the plasma discharge power under the fixed N2 flow leads to the decrease of the Si–H bonds concentration and increase of the N–H bonds concentration. Hydrogen formed during the monosilane dissociation saturates the dangling bonds of nitrogen. The Absorption (A) depends on the film thickness (d), H (CH) concentration of and the cross-section of absorption (σ ) as: A = d⋅CH⋅σ. This method described in [23] was used to analyze the hydrogen concentration; the corresponding scattering cross sections were taken from [33]. Thus, it was obtained that, for samples 5–50, 5–100, 6–100 and 5–150, the N–H concentration is 0.2, 1.2, 1.3 and 1.2 × 1022 cm− 3, whereas the Si–H concentration is 1.8, 0.9, 1.0 and 0.5 × 1022 cm− 3, respectively. In the transmission and reflection spectra of SiOxNy:H films depos­ ited on quartz substrates one can see the features associated with the interference in the spectral range where the absorption is weak (Fig. 4 (a)). Note that the quartz (fused silica) substrate is transparent in all range; the absorption edge for Si3N4 is 4.6 eV and absorption edge for aSi depends on the hydrogen content and varies from 1.5 to 2 eV [34]. For Fig. 2. Raman spectra of four SiOxNy:H films (a) on the Si substrate with the signal from Si and (b) on the quartz substrate with the signal from quartz. are two broad modes with maxima of ~480 cm− 1 (contribution mainly from TO modes) and ~150 cm− 1 (contribution mainly from TA modes) [22]. Narrow peaks with positions below 150 cm− 1 are the result of inelastic scattering on vibrational-rotational modes from molecules contained in the air. For samples 5–100 and 6–100, some weak bands from a-Si are visible, too. In Fig. 2(b), it also can be seen that there are no features in the Raman spectra of samples 5–100 and 6–100, except for the contribution from the quartz substrate. The largest contribution from the local vibrations of the Si–Si bonds (a-Si peaks) is observed for sample 5–50. One can see that there are no features associated with the scattering by local Si-Si bond vibrations in the spectra of the 5–150 sample. It can be concluded that the amount of excess silicon in the PECVD SiOxNy:H films increases with the decrease of plasma discharge power. This is, apparently, because the SiH4 dissociation energy is lower than that for N2 and O2. The polar Si–N, Si–O, Si–H and N–H bonds, which almost do not appear in the Raman spectra, appear in the FTIR spectra (Fig. 3). In all spectra, the peak with a position of 850–860 cm− 1 dominates, corre­ sponding to stretching modes of Si–N bonds [23]. Stretching vibrations of Si–O bonds also appear in all spectra and one can see some shoulders with a position of 950–1050 cm− 1. It is known that this mode frequency strongly depends on the nearest environment of silicon and oxygen atoms, in particular, on the parameter x in SiOx films [24]. Silicon oxynitride films are a substitutional solid solution type system consisting of Si–OυNδSiƞ tetrahedra, where υ+δ+ƞ = 4 [25]. The frequency of local deformation vibrations of Si–O bonds is ~1080 cm− 1 at υ = 4 [24,26] and, with an increase in the parameters δ and ƞ, the frequency of these 4 T.V. Perevalov et al. Journal of Non-Crystalline Solids 598 (2022) 121925 the same for all films. The presence of excess silicon (and silicon clus­ ters) has the greatest influence on the bandgap value of oxynitride films: namely, the more excess silicon is present, the smaller the bandgap is. In addition, as shown below within the ab initio simulation, the nitrogen content also affects the oxynitride film bandgap, but in such a way that, with an increase in the nitrogen content, the band gap increases. In addition to the silicon oxynitride electronic structure investiga­ tion, the TDOS spectra for the model SiOxNy of various compositions were calculated (Fig. 5). The spectra were combined along the O 2s band maximum below the valence band top EV for SiO2 by 17.9 eV since it is the deepest level in the calculation, and it is least sensitive to the atomic environment. The spectra demonstrate an approximately symmetrical shift of the EV edge and the conduction band bottom EC edge to the bandgap. With a decrease in x value, the valence band becomes wider mainly due to the EV shifting. The SiOxNy valence band top is formed mainly by Si 3p atomic orbitals corresponding to the bonding σ orbitals of Si–Si bonds. The EV shifting towards high energies with a decrease in the parameter x is explained by the fact that the addition of oxygen to SiOxNy is accompanied by an increase in the energy of the Si–Si bond binding orbitals. The electron density near the EC consists mainly of Si 3p orbitals with a Si 3s admixture. The shift of EC to the lower energy region can be explained by a decrease in the anti-binding σ* orbitals energy of Si–Si bonds. The monotonous growth of the Eg value with an increase in param­ eter x in SiOxNy for a structure with y = 0.33 is more uniform and faster than for a structure with y = 0.5 (Fig. 6(a)). This indicates that an in­ crease in the nitrogen content in highly silicon enriched SiOxNy leads to an increase in the oxynitride bandgap. The calculated dependence Eg predicts, for the parameter x = 0.77, the bandgap values of 3.4 eV and 4.0 eV for SiOxN0.33 and SiOxN0.5, respectively. The calculated values only slightly exceed the values obtained from the optical spectra for SiO0.8N0.3 (3.28 eV) and SiO0.8N0.4 (3.42 eV) films; although, for sample 5–150 (SiO0.7N0.5), on the contrary, the calculated Eg value 3.9 eV is slightly underestimated. Taking into account that, in the calculation model for SiOxN0.5, the excessive nitrogen content is compared to the Fig. 4. Transmission and reflection spectra (a) and absorption coefficient of four samples SiOxNy:H films grown on quartz substrates (b). the studied oxynitride films, the transparency increases in the sequence 5–50, 5–100 and 6–100 is clearly observed. This is consistent with the results of XPS, FTIR and Raman spectroscopy that the excess silicon content in films decreases in this sequence. To obtain the optical gap (bandgap) value of the studied films, the optical absorption dispersion spectra α were calculated based on the transmission and reflection spectra taking into account the interference effects (Fig. 4b). Optical absorption is also observed for quanta with an energy less than the bandgap value Eg due to the presence of density states tails near the conduction band bottom and the valence band top (Urbah tails [35]). Therefore, the Eg value was determined as the photon energy at which α is 104 cm− 1 (the so-called E04 gap). Thus, for the studied silicon films 5–50 (SiO0.9N0.1), 5–100 (SiO0.8N0.3) and 6–100 (SiO0.8N0.4), the corresponding bandgap values are 2.5 eV, 3.3 eV and 3.4 eV. For the 5–150 (SiO0.7N0.5) sample that does not contain amor­ phous silicon clusters, the E04 gap is 4.1 eV. Attention is drawn to the strong optical absorption edge shift into the short-wavelength region of the spectrum under increasing the plasma generator power at which the film was synthesized, whereas an increase in the N2 flow from 5 to 6 sccm almost did not change the Eg value. So, both the composition and electrophysical properties of PECVD silicon oxynitride films can be effectively varied by changing the plasma generator power. The bandgap value of the studied films is determined mainly by their atomic composition. The carbon effect on the bandgap value is hardly noticeable since it is present mainly in the near-surface region of the films, whereas the studied films are rather thick. The hydrogen effect on the bandgap should be greater, but since the hydrogen concentration in the studied films is approximately the same, this effect should be almost Fig. 5. The TDOS spectra of SiOxNy for two fixed y values and various x values. Zero energy corresponds to the valence band top position EV for SiO2; the spectra are combined by the O 2s level peak (dash vertical line) and have the Gaussian broadening with σ = 0.2 eV. 5 T.V. Perevalov et al. Journal of Non-Crystalline Solids 598 (2022) 121925 Fig. 6. (a) The Eg value (a), and EV with the Ec (b) position relative to the vacuum level dependences on the parameter x for SiOxN0.33 and SiOxN0.5. SiO0.77N0.43 film, as well as the possible oxygen content overestimation in the studied film, one can say that the agreement of theoretical and experimental values is surprisingly good. This indicates the correctness of the simple theoretical model used. Since the studied oxynitride films contain a high hydrogen concentration, it can be expected that hydrogen almost does not affect the dielectric bandgap value. The calculated TDOS spectra, the known bandgap value for a-Si 1.6 eV [34], as well as the EV position relative to the vacuum level for a-Si and SiO2 [36], allows as to construct an energy diagram of SiOxNy for different oxygen compositions (Fig. 6(b)). In turn, this diagram allows estimating the potential barriers for electrons (Фe) and holes (Фh) at the a-Si/SiOxNy boundary for different values of parameter x. As one can see, there is a monotonous and almost linear increase in the Фe and Фh values with an increasing of parameter x. In addition, Фe is greater than Фh for any parameter “x” value, as it takes place for the Si/Si3N4 boundary [37]. The difference between the Фe and Фh values increases with the decrease of parameter x. The calculated energy diagram allows estimating the Фe and Фh values for the studied oxynitride films with x ≈ 0.77: for samples 5–100 and 6–100, the corresponding Фe values are 1.2 eV and 1.6 eV, whereas the Фh values are 0.7 eV and 0.9 eV. To find out the possibility using of the PECVD SiOxNy:H films enriched with silicon as an active RRAM cell layer, the I–V characteristic of the structures p+-Si/SiOxNy:H(33 nm)/Ni were measured. The struc­ ture with SiOxNy:H 5–50 has no memristor effect. The structures with dielectric layer 5–100, 5–150 and 6–100 have typical bipolar memristor I-V characteristics: they can switch reversibly between the HRS (ON) and LRS (OFF). Since structures 5–100 and 6–100 have almost identical I-V curves, here are only I–V characteristics for the two structures with SiOxNy:H 6–100 and 5–150 (Fig. 7). As one can see, for the memristor based on sample 5–150, the resistance before a certain switch almost coincides with the LRS, whereas, for the memristor based on sample 6–100, it is even less than the LRS. So, the initial state can be considered as the ON-state. Such memristors belong to the forming-free class. Actually, the forming occurs as a procedure for the memristor switching to the operating mode, but this does not require a pre-breakdown voltage. Apparently, some conductive channels were formed at the synthesis stage. The plasma generator power increase from 100 to 150 W leads to the Fig. 7. (a) I-V characteristic of a p+-Si/SiOxNy:H/Ni structure with dielectric layer 6–100. The voltage sweep direction is shown with arrows. increase of the memory window, i.e., the ratio of currents in the LRS and HRS at 0.5 V from about 10 to 100. In addition, the LRS for the 5–150 memristor is lower than for the 6–100 sample, which indicates a potentially lower power consumption of the device. However, although an increase in the plasma power during the SiOxNy:H synthesis has a positive effect on the memory window value and the resistance in the LRS, the switching voltage increases, and it is undesirable. Most likely, the obtained memristors are not optimal and there are certain synthesis modes in which the memristor characteristics will be better. The search for such modes is beyond the scope of the current studies. A detailed study of the obtained memristor properties, namely, their cycling and information storage time, as well as the charge transport mechanism and trap nature, are the object of further investigations. To identify which RRAM type the obtained memristors belong (to valence change memory (VCM) RRAM or conductive-bridge RRAM), to the current temperature dependences in the LRS state were measured (Fig. 8). One can see, that in the LRS with the increasing temperature, the current increases exponentially, and this growth is the same for memristor structures 5–150 and 6–100. This suggests, firstly, that the filament has a semiconductor-type conductivity and the trap nature responsible for the conductivity for both studied dielectric is the same. Thus, the p+-Si/SiOxNy:H/Ni memristors based on PECVD SiOxNy:H films enriched with silicon are bipolar, forming-free and belong to the VCM type of RRAM. It is interesting to note that memristors based on PECVD SiOx:H and SiNx:H qualitatively have the same properties as memristors based on PECVD SiOxNy:H [3,5]. The memory window value for the studied 5–150 memristor is slightly larger than for a SiOx:H memristor, but less than that of a SiNx:H memristor. At the same time, the LRS for 6 T.V. Perevalov et al. Journal of Non-Crystalline Solids 598 (2022) 121925 CRediT authorship contribution statement T.V. Perevalov: Conceptualization, Investigation, Writing – review & editing, Visualization. V.A. Volodin: Conceptualization, Investiga­ tion, Writing – original draft, Project administration. G.N. Kamaev: Resources. A.A. Gismatulin: Investigation. S.G. Cherkova: Investiga­ tion. I.P. Prosvirin: Formal analysis. K.N. Astankova: Formal analysis. V.A. Gritsenko: Supervision. Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Data availability Fig. 8. I-V characteristic of a SiOxNy:H film in the LRS at different temperatures. Data will be made available on request. memristors based on SiOx:H and SiNx:H are characterized by the resis­ tance lower than the LRS for SiOxNy:H based memristors. Anyway, an unambiguous quantitative comparison of the different memristor properties is hardly possible due to the strong, but insufficiently well-studied influence of the film composition (parameters x and y) on the memristors properties based on these films. Acknowledgments The work was supported by the Russian Science Foundation, project No. 22–19–00369. The electrophysical measurements and measure­ ments of Raman spectra are done on the equipment of the Center of Collective Usage “VTAN” NSU supported by the Ministry of Education and Science of Russia by agreement #075–12–2021–697. The ab initio simulations were carried out at the NSU Supercomputer Center. 4. Conclusions In this paper, the electronic structure and optical properties of silicon oxynitride films enriched with silicon of four different compositions obtained by PECVD was studied. The films were synthesized by varying both the N2 + O2 flow and plasma discharge power. It was found that the plasma discharge power significantly affects the film content: with its growth, the content of silicon and oxygen decreases, while the nitrogen content increases. The analysis of Raman spectra predicts the presence of amorphous Si in the studied films. According to the XPS data, the relative content of elements in samples 5–50 (SiO0.9N0.1), 5–100 (SiO0.8N0.3), 6–100 (SiO0.8N0.4) and 5–150 (SiO0.7N0.5) was determined. The corresponding bandgap values for these films are 2.5 eV, 3.3 eV, 3.4 eV and 4.1 eV. According to the FTIR spectroscopy data, the studied films contain a lot of hydrogen: the N–H (Si–H) bonds concentration for the listed sequence of samples is 0.2 (1.8) × 1022, 1.2 (0.9) × 1022, 1.3 (1.0) × 1022 cm− 3, and 1.2 (0.5) × 1022 cm− 3. It is concluded that the PECVD SiOxNy:H film composition and electrophysical properties can be effectively varied by the plasma generator power. The electronic struc­ ture of SiOxNy of various x and y values was calculated within the DFT for simple model structures. The correctness of the used model is confirmed by the agreement of the calculated bandgap values with the experimental ones. Based on the calculations, the SiOxNy energy dia­ gram is constructed. So, the Фe and Фh values for the a-Si/SiOxNy interface for films under study were estimated. It is established that the p+-Si/SiO0.8N0.3:H/Ni, p+-Si/SiO0.8N0.4/Ni and p+-Si/SiO0.7N0.5/Ni structures have the I-V characteristic typical of the memristor with bipolar switching. The measured current tempera­ ture dependence in the LRS state clearly shows that memristors belong to the valence change RRAM. The memristors are forming-free since the initial resistive state has a close resistance to the LRS, such that they are initially in the ON state and the device functionalization procedure is not required. An increase in the plasma power during the SiOxNy:H synthesis leads to increasing the memory window value and decreasing the con­ ductivity in the LRS. The obtained memristors properties are qualita­ tively close to those for memristors based on PECVD SiOx:H and SiNx:H. Thus, silicon oxynitride films enriched with silicon synthesized by PECVD from a mixture of SiH4, N2 and O2 are appropriate for using them as an active medium of a forming-free RRAM cell. References [1] J. Yao, Z. Sun, L. Zhong, D. Natelson, J.M. Tour, Resistive switches and memories from silicon oxide, Nano Lett. 10 (10) (2010) 4105, https://doi.org/10.1021/ nl102255r. [2] A. Mehonic, A.L. Shluger, D. Gao, I. Valov, E. Miranda, D. Ielmini, A. Bricalli, E. Ambrosi, C. Li, J.J. Yang, Q. Xia, A.J. Kenyon, Silicon oxide (SiOx): a promising material for resistance switching? Adv. Mater. 30 (43) (2018), 1801187 https:// doi.org/10.1002/adma.201801187. [3] A.A. Gismatulin, V.A. Voronkovskii, G.N. Kamaev, Y.N. Novikov, V.N. Kruchinin, G.K. Krivyakin, V.A. Gritsenko, I.P. Prosvirin, A. Chin, Electronic structure and charge transport mechanism in a forming-free SiOx-based memristor, Nanotechnology 31 (50) (2020), 505704, https://doi.org/10.1088/1361-6528/ abb505. [4] S. Kim, S. Jung, M.-H. Kim, Y.-C. Chen, Y.-F. Chang, K.-C. Ryoo, S. Cho, J.-H. Lee, B.-G. Park, Scaling effect on silicon nitride memristor with highly doped Si substrate, Small 14 (19) (2018), 1704062, https://doi.org/10.1002/ smll.201704062. [5] A.A. Gismatulin, G.N. Kamaev, V.N. Kruchinin, V.A. Gritsenko, O.M. Orlov, A. Chin, Charge transport mechanism in the forming-free memristor based on silicon nitride, Sci. Rep. 11 (2021) 2417, https://doi.org/10.1038/s41598-02182159-7. [6] J. Yao, L. Zhong, D. Natelson, J.M. Tour, Silicon oxide: a non-innocent surface for molecular electronics and nanoelectronics studies, J. Am. Chem. Soc. 133 (4) (2011) 941, https://doi.org/10.1021/ja108277r. [7] Y. Shi, L. He, F. Guang, L. Li, Z. Xin, R. Liu, A review: preparation, performance, and applications of silicon oxynitride film, Micromachines (Basel) 10 (8) (2019) 552, https://doi.org/10.3390/mi10080552. [8] D. Chen, S. Huang, L. He, Effect of oxygen concentration on resistive switching behavior in silicon oxynitride film, J. Semicond. 38 (4) (2017), 043002, https:// doi.org/10.1088/1674-4926/38/4/043002. [9] N. Vasileiadis, P. Karakolis, P. Mandylas, V. Ioannou-Sougleridis, P. Normand, M. Perego, P. Komninou, V. Ntinas, I.-A. Fyrigos, I. Karafyllidis, G.C. Sirakoulis, P. Dimitrakis, Understanding the role of defects in silicon nitride-based resistive switching memories through oxygen doping, IEEE Trans. Nanotechnol. 20 (2021) 365, https://doi.org/10.1109/TNANO.2021.3072974. [10] T.H. Lee, D.Y. Kang, T.G. Kim, Ag:SiOxNy-based bilayer ReRAM structure with selflimiting bidirectional threshold switching characteristics for cross-point array application, Appl. Mater. Interfaces 10 (40) (2018) 33768, https://doi.org/ 10.1021/acsami.8b12385. [11] N.C. Das, S.-I. Oh, J.R. Rani, S.-M. Hong, J.-H. Jang, Multilevel bipolar electroforming-free resistive switching memory based on silicon oxynitride, Appl. Sci. 10 (10) (2020) 3506, https://doi.org/10.3390/app10103506. [12] K. Leng, X. Zhu, Z. Ma, X. Yu, J. Xu, L. Xu, W. Li, K. Chen, Artificial neurons and synapses based on Al/a-SiNxOy:H/P+-Si device with tunable resistive switching from threshold to memory, Nanomaterials 12 (3) (2022) 311, https://doi.org/ 10.3390/nano12030311. 7 T.V. Perevalov et al. Journal of Non-Crystalline Solids 598 (2022) 121925 [13] J. Fan, O. Kapur, R. Huang, S.W. King, C.H. de Groot, L. Jiang, Back-end-of-line aSiOxCy:H dielectrics for resistive memory, AIP Adv. 8 (2018), 095215, https://doi. org/10.1063/1.5046564. [14] C. Doughty, D.C. Knick, J.B. Bailey, J.E. Spencer, J. Vac. Sci. Technol. A 17 (1999) 2612, https://doi.org/10.1116/1.582103. [15] A.K. Antonenko, V.A. Volodin, M.D. Efremov, P.S. Zazulya, G.N. Kamaev, D. V. Marin, Silicon nitride films deposited at substrate temperatures <100 ◦ C in a permanent magnet electron cyclotron resonance plasma, Optoelectron. Instrum. Data Process. 47 (2011) 459, https://doi.org/10.3103/S8756699011050268. [16] P. Giannozzi, O. Andreussi, T. Brumme, et al., Advanced capabilities for materials modelling with Quantum ESPRESSO, J. Phys. Condens. Matter 29 (46) (2017), 465901, https://doi.org/10.1088/1361-648X/aa8f79. [17] A. Martinez-Limia, P. Plänitz, C. Radehaus, Ab initio structural and electronic properties of dangling-bond-free SiOxNy, Phys. Rev. B 73 (2006), 165213, https:// doi.org/10.1103/PhysRevB.73.165213. [18] T.V. Perevalov, V.A. Volodin, G.N. Kamaeva, G.K. Krivyakin, V.A. Gritsenko, I. P. Prosvirin, Electronic structure and nanoscale potential fluctuations in strongly nonstoichiometric PECVD SiOx, J. Non-Cryst. Sol. 529 (2020), 119796, https:// doi.org/10.1016/j.jnoncrysol.2019.119796. [19] A. Barranco, J.A. Mejias, J.P. Espinos, A. Caballero, A.R. Gonzalez-Elipe, F. Yubero, Chemical stability of Sin+ species in SiOx (x<2) thin films, J. Vac. Sci. Technol. A 19 (2001) 136, https://doi.org/10.1116/1.1323972. [20] V.A. Gritsenko, V.N. Kruchinin, I.P. Prosvirin, Y.N. Novikov, A. Chin, V.A. Volodin, Atomic and electronic structures of a-SiNx:H, JETP 129 (2019) 924, https://doi. org/10.1134/S1063776119080132. [21] R. Lukose, M. Lisker, F. Akhtar, M. Fraschke, T. Grabolla, A. Mai, M. Lukosius, Influence of plasma treatment on SiO2/Si and Si3N4/Si substrates for large‑scale transfer of graphene, Sci. Rep. 11 (2021) 13111, https://doi.org/10.1038/s41598021-92432-4. [22] J.E. Smith Jr., M.H. Brodsky, B.I. Crowder, M.I. Nathan, A. Pinczuk, Raman spectra of amorphous Si and related tetrahedrally bonded semiconductors, Phys. Rev. Lett. 26 (1971) 642, https://doi.org/10.1103/PhysRevLett.26.642. [23] G. Lucovsky, J. Yang, S.S. Chao, J.E. Tyler, W. Czubatyj, Oxygen-bonding environments in glow-discharge-deposited amorphous silicon-hydrogen alloy films, Phys. Rev. B 28 (1983) 3234, https://doi.org/10.1103/PhysRevB.28.3225. [24] P.G. Pai, S.S. Chao, Y. Takagi, G. Lucovsky, Infrared spectroscopic study of SiOx films produced by plasma enhanced chemical vapor deposition, J. Vac. Sci. Technol. A 4 (1986) 689, https://doi.org/10.1116/1.573833. [25] A.N. Sorokin, A.A. Karpushin, V.A. Gritsenko, H. Wong, Electronic structure of amorphous silicon oxynitride with different compositions, J. Appl. Phys. 105 (7) (2009), 073706, https://doi.org/10.1063/1.3103311. [26] C.T. Kirk, Quantitative analysis of the effect of disorder-induced mode coupling on infrared absorption in silica, Phys. Rev. B 38 (1988) 1255, https://doi.org/ 10.1103/PhysRevB.38.1255. [27] L.-N. He, T. Inokuma, S. Hasegawa, Properties of "stoichiometric" silicon oxynitride films, Jpn. J. Appl. Phys. 35 (25) (1996) 1503, https://doi.org/10.1143/ JJAP.35.1503. [28] T.T. Korchagina, D.V. Marin, V.A. Volodin, A.A. Popov, M. Vergnat, Structure and optical properties of SiNx:H films with Si nanoclusters produced by low-frequency plasma-enhanced chemical vapor deposition, Semiconductors 43 (2009) 1514, https://doi.org/10.1134/S1063782609110207. [29] M.H. Brodsky, M. Cardona, J.J. Cuomo, Infrared and Raman spectra of the siliconhydrogen bonds in amorphous silicon prepared by glow discharge and sputtering, Phys. Rev. B 16 (1977) 3556, https://doi.org/10.1103/PhysRevB.16.3556. [30] H. Mäckel, R. Lüdemann, Detailed study of the composition of hydrogenated SiNx layers for high-quality silicon surface passivation, J. Appl. Phys. 92 (5) (2002) 2602, https://doi.org/10.1063/1.1495529. [31] I.A. Averin, A.A. Karmanov, V.A. Moshnikov, I.A. Pronin, S.E. Igoshina, A. P. Sigaev, E.I. Terukov, Phys. Sol. State 57 (12) (2015) 2373, https://doi.org/ 10.1134/S1063783415120069. [32] M.J. Wojdyr, Fityk: a general-purpose peak fitting program, J. Appl. Crystallogr. 43 (2010) 1126, https://doi.org/10.1107/S0021889810030499. [33] W.A. Lanford, M.J. Rand, The hydrogen content of plasma-deposited silicon nitride, J. Appl. Phys. 49 (4) (1978) 2473, https://doi.org/10.1063/1.325095. [34] G.D. Cody, B. Abeles, C.R. Wronski, R.B. Stephens, B. Brooks, Optical characterization of amorphous silicon hydride films, Sol. Cells 2 (1980) 227, https://doi.org/10.1016/0379-6787(80)90028-9. [35] Y. Pan, F. Inam, M. Zhang, D.A. Drabold, Atomistic origin of Urbach tails in amorphous silicon, Phys. Rev. Lett. 100 (2008), 206403, https://doi.org/10.1103/ PhysRevLett.100.206403. [36] D.T. Pierce, W.E. Spicer, Electronic structure of amorphous Si from photoemission and optical studies, Phys. Rev. B 5 (1972) 3017, https://doi.org/10.1103/ PhysRevB.5.3017. [37] V.A. Gritsenko, T.V. Perevalov, O.M. Orlov, G.Y. Krasnikov, Nature of traps responsible for the memory effect in silicon nitride, Appl. Phys. Lett. 109 (2016), 062904, https://doi.org/10.1063/1.4959830. 8