Shubham K.
Mehta
,
Indrajit
Mondal
,
Bhupesh
Yadav
and
Giridhar U.
Kulkarni
*
Chemistry & Physics of Materials Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur P. O., Bangalore-560064, India. E-mail: kulkarni@jncasr.ac.in
First published on 9th September 2024
The development of synaptic devices featuring metallic nanostructures with brain-analog hierarchical architecture, capable of mimicking cognitive functionalities, has emerged as a focal point in neuromorphic computing. However, existing challenges, such as inconsistent and unpredictable switching, high voltage requirements, unguided filament formation, and detailed fabrication processes, have impeded technological progress in the domain. The present study addresses some of these challenges by leveraging periodic nanostructures of Ag fabricated via plasma-assisted nanosphere lithography (NSL). The triangular nanostructures with a preferred orientation offer enhanced localized electric fields, facilitating low voltage electromigration at the sharp edges to guide predictive filament formation. A thorough investigation into gap control between the nanostructures through oxygen plasma treatment enables the attainment of an optimized low switching voltage of 0.86 V and retention at an ultra-low current compliance of 100 nA. The optimized device consumes low power, typically in the fJ range, akin to biological neurons. Furthermore, the device showcases intriguing synaptic characteristics, including controlled transition from short- to long-term potentiation, associative learning, etc., projecting its potential in perceptive learning, memory formation, and brain-inspired computing. COMSOL Multiphysics simulation, supported by ex situ electron microscopic imaging, confirms the controlled and predictable filament formation facilitated by electric field enhancement across the strategic nanostructures. Thus, the work highlights the potential of NSL-based cost-effective fabrication techniques for realizing efficient and biomimetic synaptic devices for neuromorphic computing applications.
Among diverse resistive switching synaptic devices, namely electrochemical metallization (ECM), valence change memory (VCM), phase change memory (PCM), etc,13–17 ECM stands out for its exceptional control over filament formation and ultra-low power consumption.18,19 ECM is an electric field-driven phenomenon related to the atomic connection between nanostructures, where the gap between the nanostructure or nanocluster is crucial for resistive switching.20,21 There are various reports on gap-dependent electromigration-based devices.22–24 For instance, electron beam lithography (EBL)-fabricated Au nanostructure with a 54 to 62 nm gap was reported by Sakai and coworkers for the ECM-based conduction to control tunnelling resistance across the nanogaps.25 Bose et al. have worked on controllable switching of a self-assembled nanoparticle network, leading to atomic connections between the interparticle gaps.26 In another instance, for effective localization of electrons at the tip, Pt nano-junctions of gaps less than 2 nm have been fabricated using nanoimprint lithography, but the gaps were found to suffer with the migration of atoms under applied voltage.27 These systems used high voltages (>2 V) for the electromigration of metallic atoms between nanogap and complex lithographic fabrication. Concurrently, previous studies from our group have explored nanoscale Ag agglomerates formed through the dewetting of an Ag film. In such devices, electromigration occurs within the gaps of these Ag agglomerates at low voltages, enabling basic synaptic functions like STP, LTP, and associative learning with lower energy requirements. Furthermore, ECM-based devices demonstrate excellent device-to-device consistency, making them highly suitable for integration into crossbar array architectures.28,29 These self-formed structures offer stochastic filamentary-based cognitive functionalities.30–34
Achieving nanoscale structure with tunable nanogaps is crucial for ECM-based devices. However, fabricating such structures for synaptic devices typically demands laborious techniques like photolithography, EBL, etc.,35 which are intricate, costly, and time-intensive.36 In contrast, nanosphere lithography (NSL) offers a simple, scalable and inexpensive alternative for generating large-area array of 2D nanostructures with precise control over shape, size, and interparticle spacing.37–39 This process relies on a disordered colloidal system that adopts the lowest available entropy to develop a self-assembled, ordered, and stable structure.38 Noble metal nanostructures produced via NSL have found applications in diverse fields, such as optical chemo-sensors and biosensors platforms.40–42 However, there are hardly any reports on its utilization for neuromorphic device fabrication.
In this work, we have fabricated two-terminal planar synaptic devices with Ag triangular nanostructures using NSL. Scanning electron microscopy (SEM) and transmission electron microscopy (TEM) have been employed to extract microscopic information pertaining to fabricated nanostructures. The metal bowtie gap was adjusted via an oxygen plasma treatment (OPT), allowing control over the nanosphere shadow to yield adjustable gaps between the nanostructures, thereby facilitating lowering of the threshold switching while also reducing power requirement per synapse. Furthermore, the device emulates controlled STP to LTP transition and association learning aided by an ECM-based filament formation, which is further corroborated via simulating the electric field distribution across nanostructures using COMSOL Multiphysics and an ex situ SEM. COMSOL simulation confirms that the electromigration of Ag follows the path between the bowtie tip where the electric field is localized. The study is the first of its kind using the scalable NSL method for neuromorphic device fabrication.
To better understand the NSL in obtaining control over the structural parameter, the variation in Ag fill factor (shown as 1 − FF) and the corresponding average nanogap ‘d’ were plotted against TP values. ImageJ software was utilized to calculate the FF (as exemplified in Fig. 2a and Fig. S3a†) and ‘d’ (see Fig. S3b and Table S2†). The plot in Fig. 2b indicates that the OPT leads to a linear reduction in both ‘d’ and ‘1 − FF’ of Ag at rates of 0.4 nm s−1 and 0.06% s−1, respectively. As Tp increases, the size and shadowing effect of PS spheres decreases, and thus, the FF increases. UV-VIS absorbance spectroscopy was also performed to gain insight into the plasmonic effect of the periodic nanostructure. As depicted in Fig. 2c and d, the structure with d ∼ 78 nm shows a localized surface plasmon (LSPR) peak at 660 nm, which undergoes a red shift with the decreasing d. The red shift of the plasmonic peak originates from the coupling of plasma electrons between the Ag triangles.48 As the nanogap becomes smaller, the coupling between adjacent triangles increases, resulting in an easy exchange of electrons within the bowtie structure, thereby lowering the effective restoring force. As the force decreases, the resonant energy to induce the plasmonic coupling reduces, causing a red shift in the LSPR dipolar peak.49
The unique bowtie structures were exclusively exploited in this study in fabricating neuromorphic devices, as schematically demonstrated in Fig. 3a, where the device analogy to the biological synapse is showcased. The release of neurotransmitters across the synapse between the pre and post-neurons helps in memory formation by adjusting synaptic weight in the biological systems.50 As depicted, the metallic triangular islands and the intermittent gaps in the device act as neurons and synapses, respectively. Also, the device conductance update serves as the synaptic weight in the device. The device containing a network of such synapse-like junctions resembles, in principle, the biological neural network structurally. The device fabrication was completed by forming Al electrodes spaced 40 μm apart on the periodic nanostructures (Fig. 3a). The unperturbed device exhibits an initial high resistance state (HRS) attributed to the presence of unconnected nanogaps between the electrodes. During an I–V sweep, the device transitions to low resistance state (LRS), with a high ON/OFF ratio (104), while device current being regulated by a specific current compliance (ICC) (Fig. 3b–e). Such transition could be attributed to the electric field aided electromigration of Ag across nanogaps.51 Due to the unipolar nature of the device, it has a nearly symmetric I–V sweep for positive and negative polarities, as shown in Fig. S4.† With the gradual withdrawal of voltage, the device automatically returns to the HRS state without requiring an opposite bias. When an opposite bias is applied, the device switches back to the LRS state. But LRS can be erased to the HRS by applying the voltage within a tiny window (∼200 mV) around the origin (red box in Fig. S4†). Further analysis related to the filament formation and its correlation to the structural geometry of Ag is detailed later.
To begin with, the I–V sweeps were performed at a low ICC (100 nA) for each device (Fig. S5a†), resulting in higher forming voltages during HRS to LRS switching (see Fig. S5b† and histogram for the sequence of a sweep at each ICC in Fig. S5c†). The pristine devices initially require a high voltage to form a filamentary path. However, with repeated sweeps, the switching or threshold voltage decreased significantly (see Fig. S5e–i†). For a comprehensive analysis, I–V sweeps of several devices comprising QT and bowtie structures with different nanogaps are compared, as shown in Fig. 3b–e. Interestingly, the device with the lowest gap of 15 nm shows an ultra-low switching voltage (Vth) of only 300 mV at an ICC of 500 nA. The lowering of Vth could be attributed to the unique structural design of the nano-architecture, which helps in enhancing and concentrating the electric field during the sweep (later verified by COMSOL simulation). A similar Vth value was also obtained for the QT device. Nonetheless, the QT structure (Fig. S6a†) suffered from geometrical instability (see Fig. S6b†) upon repeated sweeping (Fig. S6c†), probably due to its scattered nature, leading to a drastic fluctuation in Vth, as shown in Fig. S6d.† Repeated voltage sweeps for all devices with different nanogaps are shown in Fig. S5d–i.† It is intriguing that Vth shows a decreasing trend with increasing ICC, which may be due to a better filament consolidation assisted by enhanced Joule heating at higher ICC.31 Device-to-device performance was examined using four devices (d ∼ 15 nm) named D1, D2, D3, and D4, as shown in the insets of Fig. S7b–e.† Initially, I–V sweeps were performed at an ICC of 100 nA, revealing higher forming voltages (Fig. S7a†). The switching voltage of devices drops with successive sweeps (1, 2, and 3) at each ICC value, 100, 300, and 500 nA (shown in Fig. S7b–e†). Apart from higher forming voltage, the devices exhibited lesser spread in threshold voltages, as depicted in Fig. S7f.† Furthermore, as seen in Fig. 3f, an exponentially increasing correlation is observed between the average Vth and ‘d’. Also, the Vth varies exponentially with nanogap number density (n/A), which was calculated using ImageJ software (see Fig. S8†). For a deeper analysis, the conductance of these devices in the HRS states was calculated from the slope of the I–V sweep till the threshold switching (see the inset in Fig. 3f). The result indicates an exponential decrement in the HRS conductance with d, inferring the device is in a tunneling regime; otherwise, a linear behavior is expected.52 The direct tunneling current ‘I’ decreases exponentially with the gap ‘d’, as given by the following equation,52
I = A × V × exp(−B × d) | (1) |
V = a × exp(B × d) | (2) |
Thus, Vth increases exponentially with the gap in the low ICC range (∼100 nA), where the conduction transpires majorly through tunneling. The stability study demonstrates that the device exhibits consistent threshold-switching behavior even after one year of storage under ambient conditions (see Fig. S9†).
A detailed analysis was performed to obtain per-synapse energy requirement, as shown in Fig. 3g, indicating an exponential increment in the energy consumption with the nanogap (see Fig. S10b†). The calculation (as shown in Note S1†) considers two probable synaptic connections (indicated by arrows 2 and 3 in Fig. S10a†) for each triangle. Remarkably, the device with d ∼ 15 nm consumes only 8.4 fJ per synapse, close to the limit of a biological synapse (10 fJ) and outperforming many literature reports.31
To emulate brain functionality such as weightage-dependent STP to LTP transition, appropriate voltage pulses were applied to devices after obtaining Vth from the I–V sweeps. The weightage was varied by using ICC of different amplitudes. Pulses with amplitudes of 2, 3, and 6 V (with 10 pulses of pulse width, tw = 50 ms and pulse interval, ti = 50 ms) were applied to devices with a QT structure, d ∼ 68 and 54 nm, respectively (Fig. 4a–c, respectively). The conductance retention behavior of the device after pulsing was monitored with a reading voltage (VR) of 10 mV. Intriguingly, with the increasing ICC, the retention time increased with nominal stochasticity (as shown in Fig. 4d), indicating a system apt for probabilistic computing with a high error tolerance.53 Furthermore, the rates of retention increment for d ∼ 54 (green) and d ∼ 64 nm (red) infer that STP to LTP transition is more favorable for lower gap devices. The same has also culminated from repeated pulsing measurements at different ICC (Fig. S11–S13†). Applying high electrical stress to a device can result in either the formation of fewer filaments with larger diameters or multiple weaker filaments. In the first scenario, further increasing the current compliance (ICC) enhances retention, leading to LTP. In the second scenario, however, the increased Joule heating from the high current causes the dissolution of the weaker filaments due to their limited current-carrying capacity, producing STP behavior.31 Notably, the device with the lowest d requires a minimum voltage of 0.8 V (conductance read by low voltage VR = 500 μV) and only 5 pulses with tw = 50 and ti = 50 ms sufficient to train the device. The device shows an STP to LTP transition with increased ICC (Fig. 4e), and a further enhanced memory formation with iterated training at each ICC (Fig. S14†). It is worth noting that a device with d ∼ 15 nm requires a much lower ICC for retention compared to other devices, depicting minimal energy consumption. Fig. 4f shows that the retention time exponentially increases with increase in ICC, which could be cognitively correlated with attentive learning.54 The overall ICC dependency may be understood from strengthening Ag filaments with the increasing ICC leading to higher retention.
The cognitive learning aspect of the device was demonstrated by emulating Pavlov's classical conditioning or associative learning, as shown in Fig. 5. In associative learning, the brain exhibits a response to a conditioned stimulus (such as a bell) after training involving repetitive association with an unconditioned stimulus (such as food). To emulate such behavior, the device was exposed to two different sets of pulses having an amplitude of 1.2 V (food) and 0.5 V (bell). Initially, a response was observed for the food; however, no response was observed for the bell pulse, as expected. During the training, food and bell pulse were applied concurrently to establish an association between the two signals. The device starts responding to bell pulse after the training. Creating an association between two unlinked stimuli shows the potential of the device to emulate numerous cognitive behaviors of the brain.
For a mechanistic insight and to comprehend the energy consumption trend observed previously, a COMSOL Multiphysics simulation was performed across different nanogaps to determine the electric field intensity and its distribution (see Fig. 6a). It was observed that the decreasing gap between the two nanotriangle confines and enhances the local electric field at the sharp edges, thereby reducing the required voltage for electromigration.55 The field distribution helps to identify the probable mechanism and the nanoscopic phenomena, as illustrated schematically in Fig. 6b and c for the bowtie structure and QT, respectively. The triangle structures (Fig. 6b) show predictable and stable filament formations only across the nanogaps where the electric field is confined. Furthermore, the structure remains stable under continuous pulsing, thereby increasing the durability of the devices. Contrarily, filaments in the QT structure (Fig. 6c) suffer from large stochasticity due to the dislocation of Ag nanoparticles throughout the substrate, effectively increasing the Vth over the training period. For the further visualization of a larger picture in the filamentary path formations, COMSOL simulation (details in Note S2†) was performed at a larger scale, as seen in Fig. 6d for the bowtie structure. The simulation predicts that filaments tend to grow across the nanogap where the field is greater than the electric discharge of air, i.e., 3 MV m−1,56 and the magnified image (Fig. 6f) of the marked area in Fig. 6d shows the location of the hotspots. On the other hand, the electric field distribution of the QT structure (Fig. 6e) indicates the lower field intensity between nanogaps than air electric discharge (<3 MV m−1) and the magnified image (Fig. 6g), confirming that the field is high between the Ag nanoclusters (blue dashed circle), leading to random electromigration that damages the original structure. Simulation results suggest that in triangular structures, the confinement of the electric field within the nanogaps facilitates directional electromigration. The insight has been empirically verified by FESEM imaging (see Fig. 6h and i), where the device was first taken to a high conducting state through pulsing, followed by imaging. As indicated by the blue circles in Fig. 6h, filaments grow only across the gaps to form complete traces of percolation (EDS mapping and spectrum shown in Fig. S15a–d†), as shown by the red and green lines. The post-pulsing FESEM image of the QT structure suffers disoriented filament formation, which causes the diffusion of particles all over the surface, as shown in Fig. 6i.
Thus, the present investigation illustrates an approach to desirably confine filaments in planar neuromorphic devices featuring a hierarchical network structure, enhancing performance and achieve computing with minimal energy consumption. The prospective study will focus on investigating the plasmonic effect in conjunction with neuromorphic properties while concurrently exploring the feasibility of utilizing both light and electrical stimuli.
Footnote |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d4nr02748e |
This journal is © The Royal Society of Chemistry 2024 |