COMMUNICATION Nonvolatile Memory www.advelectronicmat.de New Floating Gate Memory with Excellent Retention Characteristics Shuopei Wang, Congli He, Jian Tang, Xiaobo Lu, Cheng Shen, Hua Yu, Luojun Du, Jiafang Li, Rong Yang, Dongxia Shi, and Guangyu Zhang* voltage shift. Obviously, both the nonvolatility and program/erase voltages are dependent on the quality and thickness of the tunnel oxide layer. Reducing the thickness of the tunneling oxide layer has been tried to reduce the program/erase voltage and enhance the level of integration.[3–6] However, as the thickness of the tunneling oxide layer decreases, the leakage current from the floating gate becomes larger, resulting in storage information loss. Conventional silicon-based flash memory are approaching their physical limits. Consequently, a potential solution is to explore novel materials and new memory structures. Atomically thin 2D materials have emerged during the last decade as one of the most active research subjects due to their unique properties. van der Waals heterostructure prepared by stacking different 2D materials together can combine excellent properties of each layered component and offer a unique approach to many challenges.[7–10] For instance, mono­ layer transition metal dichalcogenides (TMDs) such as moly­ bdenum disulfide (MoS2), has been extensively studied as field effect transistor (FET) channel material for high on/off ratio and immunity to short channel effects.[11–17] Furthermore, the lack of dangling bonds at the interface between the 2D materials would suppress the appearance of interface states and charge traps which are common in silicon-based devices.[2,18,19] Based on these 2D materials, flash memory with floating-gate or charge-trap structures, has been reported recently.[20–26] In such devices, one or more components are replaced by 2D materials, while the tradeoff between operation voltage and In current flash memory, there is an inevitable tradeoff between the operation voltage and the retention time due to the incorporation of very thin tunneling layer in the device structure. In this work, a new type of robust floating gate nonvolatile memory based on 2D materials is introduced to reduce the operation voltage and promote the data retention time. By taking the advantage of a dual-gate structure, as-fabricated devices exhibit excellent performance with low operation voltage (as low as 5 V even the tunneling layer tBN ≥ 10 nm), long retention time (on/off ratio with negligible degeneration over 105 s), and ultralow off-leakage current (10−13 A, which is very attractive for ultralowpower applications). Charges trapped in the top gate originated from the capacitive coupling between the back and top gates are found to be responsible for the nonvolatile behavior. The new charge trapping mechanism, which is distinguished from that in the conventional single-gate memory devices, enables charge tunneling through a thicker tunneling layer at a low operation voltage. The achieved MoS2 nonvolatile memory with outstanding performances has great potentials for future information storage. Flash memory is the most widely used nonvolatile memory device currently.[1,2] In order to comply with the rapidly increasing demand of storage capacity and performance, new strategies are needed. Currently, standard flash cell is basically a floating-gate structure, which is comprised of a channel layer, a tunnel oxide, and a data floating gate (FG) layer completely surrounded by dielectrics, a control oxide, and a gate electrode. Being electrically isolated, the FG acts as the storing layer in the device. When applying a voltage on the gate electrode, electrons (holes) were allowed to tunnel from the channel layer to the FG layer through the thin tunnel oxide, causing shifting in the threshold voltage (Vth). The logic states are defined by the current upon a read voltage within the window of the threshold S. P. Wang, Dr. C. L. He, J. Tang, Dr. X. B. Lu, C. Shen, Dr. H. Yu, Dr. L. J. Du, Prof. J. F. Li, Prof. R. Yang, Prof. D. X. Shi, Prof. G. Y. Zhang Beijing National Laboratory for Condensed Matter Physics and Institute of Physics Chinese Academy of Sciences Beijing 100190, China E-mail: gyzhang@iphy.ac.cn S. P. Wang, J. Tang, Dr. X. B. Lu, C. Shen, Dr. H. Yu, Dr. L. J. Du, Prof. R. Yang, Prof. D. X. Shi, Prof. G. Y. Zhang School of Physical Science University of Chinese Academy of Sciences Beijing 100190, China DOI: 10.1002/aelm.201800726 Adv. Electron. Mater. 2019, 1800726 S. P. Wang, Prof. R. Yang, Prof. G. Y. Zhang Songshan-Lake Materials Laboratory Dongguan 523808, Guangdong Province, China Dr. C. L. He Institute of Advanced Materials Beijing Normal University Beijing 100875, China Prof. R. Yang, Prof. D. X. Shi, Prof. G. Y. Zhang Beijing Key Laboratory for Nanomaterials and Nanodevices Beijing 100190, China Prof. G. Y. Zhang Collaborative Innovation Center of Quantum Matter Beijing 100190, China 1800726 (1 of 7) © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.advancedsciencenews.com www.advelectronicmat.de Figure 1. Structure of the memory device. a) Schematic structure of the memory device. b) Optical microscopy image of an individual memory device. The dash lines outline the MoS2 flake. c) Raman and PL spectra for encapsulated MoS2 (h-BN/MoS2/h-BN) (red line) at 2.33 eV excitation. d) AFM image of MoS2 transferred on h-BN. A height profile was extracted. retention time seems still to be inevitable, due to sharing the same structure with conventional silicon-based device. To reduce the operation voltage and promote the data retention time of a floating gate memory device, we here propose a new type of robust nonvolatile memory devices with a dualgate structure based on a heterostructure of MoS2 and hexagonal boron nitride (h-BN). The stacking order of floating gate is different from conventional floating-gate memory. Instead of at the same side of the channel layer, the control gate and the floating gate with an extra pad in our device are designed at the both sides of the channel layer, between which the capacitive coupling will play a significant role for the nonvolatile memory behavior (seen in Figure S1, Supporting Information). The charge trapping mechanism in this new type of memory devices is distinguished from the traditional flash memory device, enabling charge tunneling through a thicker tunneling layer, i.e., h-BN layer, at low operation voltages. For a tunneling layer thickness tBN ≥ 10 nm, devices show operation voltage less than 5 V, while having excellent retention characteristics (negligible degeneration over 105 s). The new type of memory devices also shows an excellent memory performance with endurance up to 105 cycles, suggesting a great stability and reliability. The charge trapped in the top gate originated from the capacitive coupling between the back and top gates through the large extra bonding pad was found to be responsible for the nonvolatile behavior. The achieved MoS2 nonvolatile memory with excellent performances has great potential for information storage. Figure 1a illustrates the structure of the dual-gate memory device. The device was fabricated on a Si wafer covered with 300 nm thick SiO2 layer. The monolayer MoS2 channel was first encapsulated with h-BN layer by using dry transfer technique Adv. Electron. Mater. 2019, 1800726 (Figure S2, Supporting Information).[27] The Ti/Au was then deposited to serve as top gate and contact. Figure 1b displays an optical microscopy (OM) image of a typical memory device. Figure 1c shows the photoluminescence (PL) spectra of the encapsulated MoS2, exhibiting a single exciton peak at 1.86 eV that originated from the direct interband recombination of the photogenerated excitons.[28,29] The Raman spectrum of the heterostructure, shown in the inset of Figure 1c, shows two characteristic peaks of MoS2 at 385.4 and 405.9 cm−1, which are attributed to the in-plane vibration of Mo and S atoms (mode), and the out-of-plane vibration of S atoms (mode), respectively.[30,31] The difference in frequencies between the two peaks, i.e., 20.5 cm−1, is indicative of a monolayer MoS2 flake.[32] The atomic force microscopy (AFM) image of MoS2/hBN heterostructure is displayed in Figure 1d, showing a clean interface. The thickness of the MoS2 flake was measured to be 0.7 nm, corresponding to monolayer MoS2,[33] consisting with the Raman and PL results. Figure 2a shows the I–V curves of a typical device under the different back gate voltages Vbg. The source–drain current (Id) varies linearly with the source–drain voltage (Vd), indicating good ohmic contacts. To verify the data storage capability of the memory device, the transfer characteristic was further investigated, as shown in Figure 2b. Vbg was swept from +5 to −5 V (red curve) and back to +5 V (cyan curve) with fixed Vd = 100 mV, while the top gate electrode was disconnected (floated). A noticeable hysteresis can be observed for two different sweep directions of Vbg, which is crucial for a memory. The large hysteresis is characterized by a maximum voltage shift ∆V of ≈3.3 V. It should be mentioned that the floated top gate plays an important role for the hysteresis. When sweeping 1800726 (2 of 7) © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.advancedsciencenews.com www.advelectronicmat.de Figure 2. Electrical characteristics of a memory device. a) Output characteristics curve of the memory device at different Vbg. b) Transfer characteristic with Vbg sweeping from −5 to +5 V and reverse, at a fixed Vd = 100 mV. c) Transfer characteristic under different Vbg sweeping from ± 10 to ± 60 V, at a fixed Vd = 100 mV. d) Memory window extracted from (c). The top gate size is 100 µm × 100 µm. the back gate with top gate grounded, the curve shows negligible hysteresis (Figure S3b, Supporting Information). The state of the device will also change when the top gate is grounded after programming process (Figure S4, Supporting Information). Besides, devices without top gates also show negligible hysteresis (Figure S5, Supporting Information). Thus, we infer that the charge trapped in the top gate should be responsible for the hysteresis behavior. The hysteresis window of such devices can be modulated by gradually changing the maximum of back gate voltage (Vbg max). As shown in Figure 2c, the hysteresis window can be enlarged when Vbg max becomes larger. The shift of the voltage toward negative and positive direction corresponds to the hole and the electron trapping, respectively. The larger shift of the voltage toward positive direction indicates that electrons are the majority carriers for charging and discharging in the floating gate. This behavior can be attributed to different tunnel barrier heights for electrons and holes.[23,34] Memory window, described by the maximum voltage shift ∆V during the log dual sweep of Vbg, was extracted and displayed in Figure 2d. It can be seen that ∆V shows a linear relationship with Vbg max. The ratio of the memory window and the sweeping range can reach more than 60%. Note that ∆V = 60 V under Vbg max = 60 V, which is very large compared to previous memory device.[20–23,25] The dynamic behavior of these devices was also investigated to verify their high performances. Switching between different resistance states is achieved by applying voltage pulses to the back gate, while the source was grounded and the drain was biased at 100 mV. Figure 3a shows the result from Adv. Electron. Mater. 2019, 1800726 a typical device. The device is initially in a high current level, corresponding to the ON state. Then a positive voltage pulse (+5 V, 100 ms) was applied on the back gate of the device, leading to a 140 nA current spike. When the back gate voltage was reset to 0 V, the device was set to the OFF state, holding a stable low current of ≈10−12 A. The device was restored to the initial ON state (40 nA) when applying a symmetric negative pulse (−5 V, 100 ms). The MoS2 based memory device could be switched between ON and OFF states stably and reliably. The reliability of the memory device is crucial for nonvolatile data storage. Both retention time and cyclic endurance were investigated. As shown in Figure 3b, highly reliable retention characteristics can be achieved. The device was programmed to the ON (OFF) state through one −5 V (+5 V) voltage pulse with pulse width of 100 ms. Data retention in each state was acquired independently for the ON state (≈10−6 A) and OFF state (10−14 to 10−12 A). Negligible degradation was observed over 105 s. The dashed lines in Figure 3b indicate the extrapolated retention time beyond 10 years, which demonstrates that the memory device has a long retention time. It is estimate that, after 10 years (108 s), the on and off currents show no appreciable change, while maintaining an on/off ratio of 106. The endurance test was performed in sequential voltage pulses (±5 V, 100 ms), which were applied to the back gate of the device. As shown in Figure 3c, the memory devices remain high on/off ratio of 106 within 105 cycles. It is important to compare the key parameters between our device and previous state-of-the-art MoS2 based memory devices. As shown in Table S1 (Supporting Information), our memory device shows 1800726 (3 of 7) © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.advancedsciencenews.com www.advelectronicmat.de Figure 3. a) The dynamic switching behavior between ON and OFF states induced by applying alternating Vbg pulses (±5 V, 100 ms) with a time interval of 2.3 s. b) Retention time characteristic of Id in the ON and OFF states. Each state was read at Vbg = 0 V, Vd = 100 mV after programmed (erased) by one pulse voltage of + 5 V (−5 V) and width of 100 ms on the gate. The dashed lines indicate the extrapolated tendency. c) Endurance test of the memory device. The applied pulse voltages (±5 V, 100 ms) are shown in the inset. The current reads at Vbg = 0 V, Vd = 100 mV. an outstanding performance in low operation voltage, long retention time, and good endurance characteristic. Due to the thicker tunneling layer in our devices compared to other MoS2 based memory devices, our device shows much better reliability and stability. We infer that charges trapped in the top gate of our devices originate from the capacitive coupling between the back and the top gates. A schematic of dual-gate memory device with capacitances was shown in Figure 4a. In this device geometry, there are three capacitances, including the top gate capacitance Ctg, the back-gate capacitance Cbg, and the coupling capacitance between the back and the extra pad Cbt. The capacitive coupling between the back and the top gates through large extra pad area cannot be negligible.[35,36] In this case, with the top-gate electrode disconnected, if the device is measured by sweeping the back gate then the effective total back-gate capacitance is C = C bg + (C tg−1 + C bt−1 )−1 . The coupling capacitance can cause the transfer curve deviate from the nominal nonhysteresis behavior (Figures S3 and S5, Supporting Information). From this point of view, it can also explain some strange behaviors of dual gate structure devices, such as mobility overestimation, in early reports.[13,37] To further investigate the origin of the nonvolatile effect, we designed the dual-gate devices with different sizes of top gates (here including the connection extra pad) and different thicknesses of the tunneling layer. As shown in Figure S6a (Supporting Information), we fabricated a few of dual-gate devices made of one single MoS2 flake with the same channel lengths but with different connection extra pad sizes of 8, 20, Adv. Electron. Mater. 2019, 1800726 20, 2545, 10 280 µm2, respectively. Transfer characteristics of devices with different sizes of top gates (Vbg max = 50 V) were shown in Figure S6b (Supporting Information). Figure 4b shows the correlation between the memory windows and the extra pad sizes. It can be clearly seen that the memory window increases with the extra pad sizes. Based on these results, we infer that the hysterics behavior results from the capacitive coupling between the back and the top gates. Figure 4c shows the I–V curves of the memory device under different thicknesses of top dielectric h-BN layers. The relationship between the memory window and the h-BN thickness is summarized in Figure 4d, exhibiting a linear correlation. Being different from the conventional floating-gate memory devices, in which the memory’s stability depend on the charge tunneling through thin dielectric layer, our dual-gate memory devices work at thick h-BN layers, e.g., 45 nm, still exhibit very stable retention and endurance behavior via charge tunneling.[21–23] In order to further understand the charge transfer process in our devices, the electric field distribution within the device was analyzed by finite element simulations, displayed in Figure S7 (Supporting Information). The electric field was more enhanced nearby the source/drain areas, which enables charges tunneling from source (drain) to top gate. Simulation results for devices with different top gate lengths of 10, 5, and 3 µm (corresponding to different extra pad sizes), are shown in Figure S7b (Supporting Information), electric field between source/drain and top gate increase with the increasing of the top gate length which enables more charges 1800726 (4 of 7) © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.advancedsciencenews.com www.advelectronicmat.de Figure 4. Effect of the size of top gate and the thickness of h-BN on the memory window. a) Device structure, showing the capacitances discussed in the text. b) The relationship between ΔV and top gate size. c) Transfer characteristic of device with different top h-BN thickness (8, 18, 30, and 45 nm, respectively). d) The relationship between ΔV and h-BN thickness, which is extracted from (b). tunneling from source (drain) to top gate. In case of top gate length of 10 µm, the electric field is largely enhanced. These results suggest that the memory window increases with the top gate size. Figure 5a–d shows the schematics of memory operation at states of programming, reading after programming, erasing, and reading after erasing. For programming, when a positive voltage was applied at the back gate, negative charges appeared in the large top-gate bonding pad near the interface of Au/hBN originated from the capacitive coupling. Simultaneously, due to the law of charge conservation, equal numbers positive charges will be repelled away from this area, distributing on Figure 5. Schematic illustration of memory operation at the states of a) programing, b) reading after programing, c) erasing, d) reading after erasing. The dashed arrows indicate the tunneling direction of electrons and holes from the source (drain) electrodes/channel into floating gate. Adv. Electron. Mater. 2019, 1800726 1800726 (5 of 7) © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.advancedsciencenews.com www.advelectronicmat.de the other side of surface of the Au top gate nonuniformly, as shown in Figure 5a. On the other hand, most positive charges would move to the region near the drain/source and the region above the channel because of the shield effect of drain/source and 2d channel, resulting in a large electrical field between the top gate and the source (drain), as the simulation results shown in Figure S7 (Supporting Information), which enables electrons tunneling from the source (drain) to the top gate, marked by the dashed arrows in Figure 5a. After removing the Vbg, there would be some residual net charges (electrons) trapped in the top gate, which would redistribute through the entire top gate. Then the device was read in the OFF state, as shown in Figure 5b. Analogously, the erasing and reading after erasing process were illustrated in Figure 5c,d, and some holes would be trapped in the top gate. The charge trapping mechanism due to the capacitive coupling, distinguished from the conventional floating-gate memory devices, enables charge tunneling through thicker tunneling layer at low operation voltages. In conclusion, we fabricated robust nonvolatile memory devices based on h-BN/MoS2/h-BN dual-gate structure with excellent performances in terms of low operation voltages, endurance up to 105 and long retention time over 105 s. Furthermore, using MoS2 as the channel layer, our memory devices exhibit ultimately low leakages and off-state current of ≈10−13 A. The capacitive coupling between the back and the top gates was found to be responsible for the nonvolatile behavior. The charge trapping mechanism, distinguished from the conventional floating-gate memory devices, enables charge tunneling through thicker tunneling layer at low operation voltages. Our realization of robust nonvolatile memory based on dual-gate structure provides an avenue for future electronics engineering by using van der Waals heterostructure. Experimental Section Heterostructure Fabrications and Characterizations: Monolayer MoS2 flakes were mechanically exfoliated from the bulk MoS2 onto polydimethyl siloxane (PDMS) substrates. To identify the layer number of MoS2, optical imaging thus confirmed by AFM, Raman, and PL was used. Heterostructure were prepared by sequent transferring mechanically exfoliated MoS2 and h-BN flakes through a homemade transfer tool. The transferred heterostructure samples were annealed in gas mixture of H2/Ar (10 sccm/150 sccm) for 120 min at 300 °C to remove residuals. As-fabricated MoS2 on h-BN were characterized by AFM (MultiMode IIId, Veeco Instruments) using tapping mode under ambient conditions. The Raman and PL spectra were carried out on a Horiba Jobin Yvon LabRAM HR-Evolution Raman microscope with an excitation laser wavelength of 532 nm, laser power of 10 mW, and laser spot size of ≈1 µm at room temperature. Device Fabrications and Characterizations: As transferred device were spin coated with a polymethylmethacrylate (PMMA) photoresist followed by electron beam lithography (EBL, Raith-eline). Then, the Ti (2 nm)/Au (20 nm) metal electrode leads were deposited in electron beam evaporation followed by a standard metal lift-off process. The electronic characterizations were measured by an Agilent B1500A parameter analyzer at room temperature. Electrostatic Simulation: Device simulations were carried out with the Comsol Multiphysics package. Adv. Electron. Mater. 2019, 1800726 Supporting Information Supporting Information is available from the Wiley Online Library or from the author. Acknowledgements This work was supported by the National Science Foundation of China (NSFC) under Grant No. 11834017, 61734001, 51572289, and 11574361, the Strategic Priority Research Program of Chinese Academy of Sciences (CAS) under Grant No. XDB30000000, the Key Research Program of Frontier Sciences of the CAS under Grant No. QYZDB-SSW-SLH004, and the National Key R&D program under Grant No. 2016YFA0300904 and Youth Innovation Promotion Association CAS under Grant No. 2018013. Conflict of Interest The authors declare no conflict of interest. Keywords floating gate, MoS2, nonvolatile memory, van der Waals heterostructure Received: October 16, 2018 Revised: December 10, 2018 Published online: [1] R. Bez, E. Camerlenghi, A. Modelli, A. Visconti, Proc. IEEE 2003, 91, 489. [2] S. M. Sze, K. K. Ng, Physics of Semiconductor Devices, John Wiley & Sons, New York 2006. [3] G. E. Moore, Proc. IEEE 1998, 86, 82. [4] R. H. Dennard, F. H. Gaensslen, V. L. Rideout, E. Bassous, A. R. 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