@misc{PerezMahadevaiahPerezBoschQuesadaetal., author = {P{\´e}rez, Eduardo and Mahadevaiah, Mamathamba Kalishettyhalli and Perez-Bosch Quesada, Emilio and Wenger, Christian}, title = {Variability and Energy Consumption Tradeoffs in Multilevel Programming of RRAM Arrays}, series = {IEEE Transactions on Electron Devices}, volume = {68}, journal = {IEEE Transactions on Electron Devices}, number = {6}, issn = {0018-9383}, doi = {10.1109/TED.2021.3072868}, pages = {2693 -- 2698}, abstract = {Achieving a reliable multi-level programming operation in resistive random access memory (RRAM) arrays is still a challenging task. In this work, we assessed the impact of the voltage step value used by the programming algorithm on the device-to-device (DTD) variability of the current distributions of four conductive levels and on the energy consumption featured by programming 4-kbit HfO2-based RRAM arrays. Two different write-verify algorithms were considered and compared, namely, the incremental gate voltage with verify algorithm (IGVVA) and the incremental step pulse with verify algorithm (ISPVA). By using the IGVVA, a main trade-off has to be taken into account since reducing the voltage step leads to a smaller DTD variability at the cost of a strong increase in the energy consumption. Although the ISPVA can not reduce the DTD variability as much as the IGVVA, its voltage step can be decreased in order to reduce the energy consumption with almost no impact on the DTD variability. Therefore, the final decision on which algorithm to employ should be based on the specific application targeted for the RRAM array.}, language = {en} } @misc{PerezBoschQuesadaPerezMahadevaiahetal., author = {Perez-Bosch Quesada, Emilio and P{\´e}rez, Eduardo and Mahadevaiah, Mamathamba Kalishettyhalli and Wenger, Christian}, title = {Memristive-based in-memory computing: from device to large-scale CMOS integration}, series = {Neuromorphic Computing and Engineering}, volume = {1}, journal = {Neuromorphic Computing and Engineering}, number = {2}, issn = {2634-4386}, doi = {10.1088/2634-4386/ac2cd4}, pages = {8}, abstract = {With the rapid emergence of in-memory computing systems based on memristive technology, the integration of such memory devices in large-scale architectures is one of the main aspects to tackle. In this work we present a study of HfO2-based memristive devices for their integration in large-scale CMOS systems, namely 200 mm wafers. The DC characteristics of single metal-insulator-metal devices are analyzed taking under consideration device-to-device variabilities and switching properties. Furthermore, the distribution of the leakage current levels in the pristine state of the samples are analyzed and correlated to the amount of formingless memristors found among the measured devices. Finally, the obtained results are fitted into a physic-based compact model that enables their integration into larger-scale simulation environments.}, language = {en} } @misc{BischoffLeisePerezBoschQuesadaetal., author = {Bischoff, Carl and Leise, Jakob and Perez-Bosch Quesada, Emilio and P{\´e}rez, Eduardo and Wenger, Christian and Kloes, Alexander}, title = {Implementation of device-to-device and cycle-to-cycle variability of memristive devices in circuit simulations}, series = {Solid-State Electronics}, volume = {194}, journal = {Solid-State Electronics}, issn = {0038-1101}, doi = {10.1016/j.sse.2022.108321}, pages = {4}, abstract = {We present a statistical procedure for the extraction of parameters of a compact model for memristive devices. Thereby, in a circuit simulation the typical fluctuations of the current-voltage (I-V) characteristics from device-to-device (D2D) and from cycle-to-cycle (C2C) can be emulated. The approach is based on the Stanford model whose parameters play a key role to integrating D2D and C2C dispersion. The influence of such variabilities over the model's parameters is investigated by using a fitting algorithm fed with experimental data. After this, the statistical distributions of the parameters are used in a Monte Carlo simulation to reproduce the I-V D2D and C2C dispersions which show a good agreement to the measured curves. The results allow the simulation of the on/off current variation for the design of RRAM cells or memristor-based artificial neural networks.}, language = {en} } @misc{MahadevaiahPerezLiskeretal., author = {Mahadevaiah, Mamathamba Kalishettyhalli and P{\´e}rez, Eduardo and Lisker, Marco and Schubert, Markus Andreas and Perez-Bosch Quesada, Emilio and Wenger, Christian and Mai, Andreas}, title = {Modulating the Filamentary-Based Resistive Switching Properties of HfO2 Memristive Devices by Adding Al2O3 Layers}, series = {Electronics : open access journal}, volume = {11}, journal = {Electronics : open access journal}, number = {10}, issn = {2079-9292}, doi = {10.3390/electronics11101540}, pages = {14}, abstract = {The resistive switching properties of HfO2 based 1T-1R memristive devices are electrically modified by adding ultra-thin layers of Al2O3 into the memristive device. Three different types of memristive stacks are fabricated in the 130 nm CMOS technology of IHP. The switching properties of the memristive devices are discussed with respect to forming voltages, low resistance state and high resistance state characteristics and their variabilities. The experimental I-V characteristics of set and reset operations are evaluated by using the quantum point contact model. The properties of the conduction filament in the on and off states of the memristive devices are discussed with respect to the model parameters obtained from the QPC fit.}, language = {en} } @misc{PerezMahadevaiahPerezBoschQuesadaetal., author = {P{\´e}rez, Eduardo and Mahadevaiah, Mamathamba Kalishettyhalli and Perez-Bosch Quesada, Emilio and Wenger, Christian}, title = {In-depth characterization of switching dynamics in amorphous HfO2 memristive arrays for the implementation of synaptic updating rules}, series = {Japanese Journal of Applied Physics}, volume = {61}, journal = {Japanese Journal of Applied Physics}, issn = {0021-4922}, doi = {10.35848/1347-4065/ac6a3b}, pages = {1 -- 7}, abstract = {Accomplishing truly analog conductance modulation in memristive arrays is crucial in order to implement the synaptic plasticity in hardware-based neuromorphic systems. In this paper, such a feature was addressed by exploiting the inherent stochasticity of switching dynamics in amorphous HfO2 technology. A thorough statistical analysis of experimental characteristics measured in 4 kbit arrays by using trains of identical depression/potentiation pulses with different voltage amplitudes and pulse widths provided the key to develop two different updating rules and to define their optimal programming parameters. The first rule is based on applying a specific number of identical pulses until the conductance value achieves the desired level. The second one utilized only one single pulse with a particular amplitude to achieve the targeted conductance level. In addition, all the results provided by the statistical analysis performed may play an important role in understanding better the switching behavior of this particular technology.}, language = {en} } @misc{PerezMaldonadoAcaletal., author = {P{\´e}rez, Eduardo and Maldonado, David and Acal, Christian and Ruiz-Castro, Juan Eloy and Aguilera, Ana Mar{\´i}a and Jimenez-Molinos, Francisco and Roldan, Juan Bautista and Wenger, Christian}, title = {Advanced Temperature Dependent Statistical Analysis of Forming Voltage Distributions for Three Different HfO2-Based RRAM Technologies}, series = {Solid State Electronics}, volume = {176}, journal = {Solid State Electronics}, issn = {0038-1101}, pages = {6}, abstract = {In this work, voltage distributions of forming operations are analyzed by using an advanced statistical approach based on phase-type distributions (PHD). The experimental data were collected from batches of 128 HfO2-based RRAM devices integrated in 4-kbit arrays. Three di erent switching oxides, namely, polycrystalline HfO2, amorphous HfO2, and Al-doped HfO2, were tested in the temperature range from -40 to 150 oC. The variability of forming voltages has been usually studied by using the Weibull distribution (WD). However, the performance of the PHD analysis demonstrated its ability to better model this crucial operation. The capacity of the PHD to reproduce the experimental data has been validated by means of the Kolmogorov-Smirnov test, while the WD failed in many of the cases studied. In addition, PHD allows to extract information about intermediate probabilistic states that occur in the forming process and the transition probabilities between them; in this manner, we can deepen on the conductive lament formation physics. In particular, the number of intermediate states can be related to the device variability.}, language = {en} } @misc{ZanottiPuglisiMiloetal., author = {Zanotti, Tommaso and Puglisi, Francesco Maria and Milo, Valerio and P{\´e}rez, Eduardo and Mahadevaiah, Mamathamba Kalishettyhalli and Ossorio, {\´O}scar G. and Wenger, Christian and Pavan, Paolo and Olivo, Piero and Ielmini, Daniele}, title = {Reliability of Logic-in-Memory Circuits in Resistive Memory Arrays}, series = {IEEE Transactions on Electron Devices}, volume = {67}, journal = {IEEE Transactions on Electron Devices}, number = {11}, issn = {0018-9383}, doi = {10.1109/TED.2020.3025271}, pages = {4611 -- 4615}, abstract = {Logic-in-memory (LiM) circuits based on resistive random access memory (RRAM) devices and the material implication logic are promising candidates for the development of low-power computing devices that could fulfill the growing demand of distributed computing systems. However, these circuits are affected by many reliability challenges that arise from device nonidealities (e.g., variability) and the characteristics of the employed circuit architecture. Thus, an accurate investigation of the variability at the array level is needed to evaluate the reliability and performance of such circuit architectures. In this work, we explore the reliability and performance of smart IMPLY (SIMPLY) (i.e., a recently proposed LiM architecture with improved reliability and performance) on two 4-kb RRAM arrays based on different resistive switching oxides integrated in the back end of line (BEOL) of the 0.25- μm BiCMOS process. We analyze the tradeoff between reliability and energy consumption of SIMPLY architecture by exploiting the results of an extensive array-level variability characterization of the two technologies. Finally, we study the worst case performance of a full adder implemented with the SIMPLY architecture and benchmark it on the analogous CMOS implementation.}, language = {en} } @misc{ZahariPerezMahadevaiahetal., author = {Zahari, Finn and P{\´e}rez, Eduardo and Mahadevaiah, Mamathamba Kalishettyhalli and Kohlstedt, Hermann and Wenger, Christian and Ziegler, Martin}, title = {Analogue pattern recognition with stochastic switching binary CMOS‑integrated memristive devices}, series = {Scientific Reports}, volume = {10}, journal = {Scientific Reports}, issn = {2045-2322}, doi = {10.1038/s41598-020-71334-x}, pages = {15}, abstract = {Biological neural networks outperform todays computer technology in terms of power consumption and computing speed when associative tasks, like pattern recognition, are to be solved. The analogue and massive parallel in-memory computing in biology differs strongly with conventional transistor electronics using the von Neumann architecture. Therefore, novel bio-inspired computing architectures are recently highly investigated in the area of neuromorphic computing. Here, memristive devices, which serve as non-volatile resistive memory, are used to emulate the plastic behaviour of biological synapses. In particular, CMOS integrated resistive random access memory (RRAM) devices are promising candidates to extend conventional CMOS technology in neuromorphic systems. However, dealing with the inherent stochasticity of the resistive switching effect can be challenging for network performance. In this work, the probabilistic switching is exploited to emulate stochastic plasticity with fully CMOS integrated binary RRAM devices. Two different RRAM technologies with different device variabilities are investigated in detail and their use in a stochastic artificial neural network (StochANN) to solve the MINST pattern recognition task is examined. A mixed-signal implementation with hardware synapses and software neurons as well as numerical simulations show the proposed concept of stochastic computing is able to handle analogue data with binary memory cells.}, language = {en} } @misc{RomeroZalizPerezJimenezMolinosetal., author = {Romero-Zaliz, Roc{\´i}o and P{\´e}rez, Eduardo and Jimenez-Molinos, Francisco and Wenger, Christian and Roldan, Juan Bautista}, title = {Influence of variability on the performance of HfO2 memristor-based convolutional neural networks}, series = {Solid State Electronics}, volume = {185}, journal = {Solid State Electronics}, issn = {0038-1101}, doi = {10.1016/j.sse.2021.108064}, pages = {5}, abstract = {A study of convolutional neural networks (CNNs) was performed to analyze the influence of quantization and variability in the network synaptic weights. Different CNNs were considered accounting for the number of convolutional layers, size of the filters in the convolutional layer, number of neurons in the final network layers and different sets of quantization levels. The conductance levels of fabricated 1T1R structures based on HfO2 memristors were considered as reference for four or eight level quantization processes at the inference stage of the CNNs, which were previous trained with the MNIST dataset. We also included the variability of the experimental conductance levels that was found to be Gaussian distributed and was correspondingly modeled for the synaptic weight implementation.}, language = {en} } @misc{OssorioVinuesaGarciaetal., author = {Ossorio, {\´O}scar G. and Vinuesa, Guillermo and Garcia, Hector and Sahelices, Benjamin and Due{\~n}as, Salvador and Cast{\´a}n, Helena and P{\´e}rez, Eduardo and Mahadevaiah, Mamathamba Kalishettyhalli and Wenger, Christian}, title = {Performance Assessment of Amorphous HfO2-based RRAM Devices for Neuromorphic Applications}, series = {ECS Transactions}, volume = {102}, journal = {ECS Transactions}, number = {2}, issn = {1938-6737}, doi = {10.1149/10202.0029ecst}, pages = {29 -- 35}, abstract = {The use of thin layers of amorphous hafnium oxide has been shown to be suitable for the manufacture of Resistive Random-Access memories (RRAM). These memories are of great interest because of their simple structure and non-volatile character. They are particularly appealing as they are good candidates for substituting flash memories. In this work, the performance of the MIM structure that takes part of a 4 kbit memory array based on 1-transistor-1-resistance (1T1R) cells was studied in terms of control of intermediate states and cycle durability. DC and small signal experiments were carried out in order to fully characterize the devices, which presented excellent multilevel capabilities and resistive-switching behavior.}, language = {en} } @misc{GlukhovLepriMiloetal., author = {Glukhov, Artem and Lepri, Nicola and Milo, Valerio and Baroni, Andrea and Zambelli, Cristian and Olivo, Piero and P{\´e}rez, Eduardo and Wenger, Christian and Ielmini, Daniele}, title = {End-to-end modeling of variability-aware neural networks based on resistive-switching memory arrays}, series = {Proc. 30th IFIP/IEEE International Conference on Very Large Scale Integration (VLSI-SoC 2022)}, journal = {Proc. 30th IFIP/IEEE International Conference on Very Large Scale Integration (VLSI-SoC 2022)}, doi = {10.1109/VLSI-SoC54400.2022.9939653}, pages = {1 -- 5}, abstract = {Resistive-switching random access memory (RRAM) is a promising technology that enables advanced applications in the field of in-memory computing (IMC). By operating the memory array in the analogue domain, RRAM-based IMC architectures can dramatically improve the energy efficiency of deep neural networks (DNNs). However, achieving a high inference accuracy is challenged by significant variation of RRAM conductance levels, which can be compensated by (i) advanced programming techniques and (ii) variability-aware training (VAT) algorithms. In both cases, however, detailed knowledge and accurate physics-based statistical models of RRAM are needed to develop programming and VAT methodologies. This work presents an end-to-end approach to the development of highly-accurate IMC circuits with RRAM, encompassing the device modeling, the precise programming algorithm, and the VAT simulations to maximize the DNN classification accuracy in presence of conductance variations.}, language = {en} }