Skip to main content

Internal resistor of multi-functional tunnel barrier for selectivity and switching uniformity in resistive random access memory


In this research, we analyzed the multi-functional role of a tunnel barrier that can be integrated in devices. This tunnel barrier, acting as an internal resistor, changes its resistance with applied bias. Therefore, the current flow in the devices can be controlled by a tunneling mechanism that modifies the tunnel barrier thickness for non-linearity and switching uniformity of devices. When a device is in a low-resistance state, the tunnel barrier controls the current behavior of the device because most of the bias is applied to the tunnel barrier owing to its higher resistance. Furthermore, the tunnel barrier induces uniform filament formation during set operation with the tunnel barrier controlling the current flow.


Various new types of memories, such as phase change memory, spin-torque-transfer magnetic memory, and resistive random access memory (ReRAM), have been considered to replace conventional memory owing to their improved scaling limit and low power operation [1, 2]. ReRAM is the most promising candidate memory for next-generation non-volatile memory owing to the simple structure of the two-terminal type device and the fact that its cross-point array (4 F2) structure can be significantly scaled down. However, ReRAM exhibits large resistive-switching fluctuation and suffers from leakage current in cross-point array operation.

To mitigate the resistive switching fluctuation in ReRAM, various analyses of switching behaviors and structural solutions have been suggested [38]. The resistive switching uniformity is highly affected by oxide states and filament formation properties. Although various ReRAM structures have been investigated and the switching variability has been improved, ReRAMs still retain non-uniform resistive switching parameters of resistance state and voltage when the devices operate with low currents (approximately 50 μA) of devices. In addition, the currents flowing through unselected cells during the read operations are a severe problem in cross-point array ReRAMs. When a high-resistance state (HRS) cell is read, it is biased with VRead, while the unselected neighboring low-resistance state (LRS) cells are biased with ½VRead. Although LRS cells are biased with a lower voltage than the HRS cell, most current flows through the unselected LRS cells because of their very low resistance values. To prevent this sneak path current, various selection devices are introduced. Selection devices have very a high resistance at low voltage levels (VLow) and low resistance at high voltage levels (VHigh). Therefore, the use of a selection device and ReRAM integration can reduce the leakage current in cross-point array operation. However, they are structurally and compositionally complex for one-selector one-ReRAM (1S1R) integration [9, 10]. Therefore, selector-less ReRAMs with non-linear ILRS behavior and without complex compositional and structural integration have been investigated [11, 12]. However, the origin of the selector-less ReRAM has not been investigated, and its switching reliability has not been considered for cross-point array operation. Most researches have focused only on the selectivity of the selector-less ReRAM.

In this research, the multi-functional role of the TiOx tunnel barrier which can be integrated with ReRAM was analyzed. We significantly improved the selectivity and switching uniformity by designing the device with a simple triple-layer structure of a tunnel-barrier-layer-inserted ReRAM. The tunnel barrier can act as an internal resistor whose resistance changes with the applied bias. Direct tunneling (DT) of the tunnel barrier shows high resistance at VLow, whereas Fowler-Nordheim tunneling (FNT) shows low resistance at VHigh. DT of the tunnel barrier reduces the sneak-path current of the ReRAM and controls the filament formation in the HfO2 switching layer for selectivity and uniformity. Thus, the multi-functional tunnel barrier plays an important role in the selectivity and switching uniformity of ReRAMs.


We fabricated Ti/HfO2/multi-layer TiOy-TiOx/Pt devices in a 250-nm via-hole structure. For the isolation layer, a 100-nm-thick SiO2 sidewall layer was deposited on a Pt bottom electrode (BE)/Ti/SiO2/Si substrate by plasma-enhanced chemical vapor deposition. Subsequently, a 250-nm via-hole was formed by a KrF lithography process, followed by reactive-ion etching. First, a 6-nm TiOx tunnel barrier was deposited in an Ar-and-O2 mixed plasma (Ar/O2 = 30:1 sccm) by radio frequency (RF) sputtering (working pressure 5 mTorr, RF power 100 W). To form the multi-layer TiOy/TiOx (y > x), a tunnel barrier was annealed in O2 ambient by rapid thermal annealing at 300°C. We varied the thermal oxidation time to evaluate the role of the tunnel barrier in the ReRAM (0 to 10 min). Then, a switching layer of 4-nm-thick HfO2 was deposited using an atomic layer deposition system using TEMAH as a precursor and H2O as an oxidizer at 250°C. The Ti oxygen reservoir and a top electrode (TE) of 50 μm were deposited using direct current (DC) sputtering and a shadow mask.


Figure 1a shows the DC current–voltage (I-V) curve, which shows the highly non-linear I-V characteristics of the TE/Ti/HfO2/multi-layer TiOy-TiOx/BE device. A 50-μA compliance current was used to prevent hard breakdown. A DC bias was applied to the TE, and the BE was grounded. To induce oxygen vacancy (Vo) filament formation during the set operation, a positive bias was applied to the TE. In contrast, a negative bias was applied to the TE to dissolve the filament. For the reading operation, VRead (1.1 V) was applied to the selected cells while ½VRead (0.55 V) was applied to the unselected cells in the cross-point array. Thus, the sneak-path current of VLow should be significantly suppressed. We observed that ILRS was greatly suppressed at ½VRead with high selectivity (Figure 1a). To confirm the switching reliability of the selector-less ReRAM, switching current distributions were calculated. As shown in Figure 1b, this device exhibited highly reliable resistance switching. Furthermore, the ILRS at ½VRead was sufficiently suppressed, making it usable for cross-point array applications.

Figure 1
figure 1

Highly non-linear DC I-V curve and switching current distributions. (a) Highly non-linear DC I-V curve of the selector-less ReRAM (red) and linear ReRAM (black). (b) Switching current (ILRS, black; IHRS, blue; and suppressed ILRS, red) distributions of the selector-less ReRAM.

In the device structure shown in Figure 1a, Ti/HfO2 acts as a memory with filament formation and dissolution with set and reset operations. The integrated multi-layer TiOy/TiOx acts as an internal resistor for the non-linear ILRS and the filament formation control. Accordingly, the memory and multi-layer tunnel barrier can be considered as serially connected resistors. Thus, if the operating current of the ReRAM is higher than that of the internal resistor (RReRAM < Rinternal resistor), the current of the ReRAM is mainly determined by the internal resistor. In serially connected resistors, most of the bias is applied to the higher resistance, and the same current flows through the lower resistance. Therefore, we analyzed the behaviors of the selector-less ReRAM, which is integrated with the internal resistor of the TiOx tunnel barrier.

First, it is well known that the tunnel barrier can exhibit non-linear I-V characteristics owing to the electric-field-controlled modification of the barrier thickness of the tunnel barrier [12, 13]. The modification of the barrier thickness of the tunnel barrier exhibits DT and FNT for suppressed current and sufficient current at VLow and VHigh, respectively. To increase the effect of DT on ILRS at ½VRead, we carried out thermal oxidation of the TiOx tunnel barrier layer to form more insulating TiOy (y > x) on the top surface of TiOx in the multi-layer TiOy/TiOx. To study the role of the tunnel barrier in selectivity, we fabricated and evaluated Pt/multi-layer TiOy-TiOx/Pt and Pt/single-layer TiOx/Pt structures. Neither the multi-layer nor the single-layer tunnel barriers exhibited hysteric behaviors, as shown in Figure 2a. The multi-layer TiOy/TiOx exhibited higher selectivity of the internal resistor than the single-layer TiOx (Figure 2a). We confirmed that the tunnel barrier can act as an internal resistor that has variable resistance for non-linear ILRS of the device. The selectivity of the tunnel barrier internal resistor was dependent on the thermal oxidation time of the TiOx tunnel barrier. Higher selectivity was observed in the multi-layer TiOy/TiOx than in the single-layer TiOx without thermal oxidation. TiOy can suppress electron transfer more than TiOx at VLow because of its more insulating state. Once a filament is formed in the HfO2 switching layer, the tunnel barrier dominantly is the dominant factor that controls I-V characteristics with barrier thickness modification because RLRS is much lower than Rtunnel barrier. Therefore, it was observed that the high non-linear ILRS of the ReRAM could be achieved by inserting a multi-layer tunnel barrier (Figure 2b). The non-linearity of the selector-less ReRAM was higher in the multi-layer tunnel barrier than that of the single-layer tunnel barrier.

Figure 2
figure 2

DC I-V and non-linear behavior comparisons. (a) DC I-V comparison of multi-layer tunnel barrier (blue) and single-layer tunnel barrier (black). (b) Comparison of the non-linear behaviors of the selector-less ReRAMs by inserting multi-layer (blue) and single-layer tunnel barriers (black).

Figure 3 shows the depth profile of the device and the tendency of the TiOx top surface bonding energy in relation to the thermal oxidation time. Figure 3a shows the depth profile of the selector-less ReRAM to confirm the device structure. Every depth point was detected with an etching rate of 3 min. Total etch time to detect BE of Pt was 34 min. Figure 3b, c, d shows the bonding energy of the multi-layer TiOy/TiOx tunnel barrier. We focused on the top surface of the TiOx layer to confirm the thermal oxidation effect. By increasing the thermal oxidation time, we observed that the Ti4+ peak of the insulating TiOx phase increases because of thermal oxidation. In addition, the Ti2+ peak of metal Ti relatively decreases owing to thermal oxidation. Therefore, it can be seen that the multi-layer TiOy/TiOx exhibits highly non-linear behavior owing to excellent tunnel barrier characteristics (Figure 2a,b).

Figure 3
figure 3

Depth profile and bonding energy change. (a) Depth profile of the selector-less ReRAM. (b, c, d) Bonding energy change in the TiOx top surface with thermal oxidation time (0-, 5-, and 10-min oxidation). Ti4+ peak increased with increasing thermal oxidation time.

Second, the tunnel barrier controls filament formation during the set operation for uniform resistive switching. In general, the filament size of the ReRAM can have random fluctuation owing to the randomly distributed oxygen vacancy (Vo) of binary metal oxide switching layers and the uncontrollable current flowing during the set operation. Furthermore, a fluctuating filament reflects the large fluctuation of the reset operation, and it results in large fluctuation of HRS distributions. In the ReRAM operating mechanism, randomly distributed Vo is an intrinsic characteristic of the ReRAM. To achieve uniform switching behavior, the current flowing in the switching layer should be controlled. Therefore, the insertion of additional layers, such as filament formation control layers, has been investigated for the control of current flow. It is well known that internal resistors or external resistors can induce reliable filament formation with the controlled current flowing through serially connected resistors [14, 15]. When compared to linear resistors, the tunnel barrier can be considered as a non-linear resistor. The resistance of this multi-layer tunnel barrier can vary with the applied bias owing to tunnel barrier thickness modification. The resistance of the tunnel barrier is very high at the DT-controlled bias level, whereas the resistance of the tunnel barrier is very low at the FNT-controlled bias level. The resistance of a typical ReRAM can be determined by the filament growth rate. Thus, the tunnel-barrier-integrated ReRAM can be considered to comprise a serially connected switching layer resistance (RHfO2) and tunnel barrier resistance (RTunnel barrier). RHfO2 can be changed to RHRS, an intermediate resistance state (RIRS), and RLRS with filament growth thickness. The RHfO2 value decreases with filament growth. In the case of the multi-layer tunnel barrier, the resistances can be considered as a DT resistance (RDT) and FNT resistance (RFNT) at VLow and VHigh, respectively. Accordingly, the dominant layer changes with the resistance values. Figure 4 compares the DC I-V curves of the multi-layer tunnel barrier and linear ReRAM. At VLow, the operating current of the tunnel barrier is much lower than that of the ReRAM HRS. In contrast, the operating current of the tunnel barrier is much higher than that of the ReRAM HRS at VHigh. Therefore, the tunnel barrier is dominant at VLow, and the ReRAM is dominant at VHigh in the ReRAM HRS. Figure 5 shows the concept of filament formation during the set operation of a linear ReRAM and the selector-less ReRAM. As shown in Figure 5c,d, most bias is applied to the tunnel barrier owing to RDT > RHRS at VLow. During the positive bias increase for filament formation, Vos are cohesive, and a partial filament is formed with the tunnel barrier controlled current until the dominant region changes (Figures 4 and 5c). Accordingly, the filament size may be relatively smaller than that of linear ReRAMs owing to the suppressed current flow. When less current flows along the device, smaller filament is formed. Therefore, partial filament formation is achieved with RDT (Figure 5c).

Figure 4
figure 4

Comparison of ReRAM (black) and tunnel barrier (blue) DC I-V curves.

Figure 5
figure 5

Concept of filament formation in general ReRAM (a, b) and the selector-less ReRAM (c, d).

The partial filament state can be considered as an IRS, which is RLRS < RIRS < RHRS. At VHigh, the tunnel barrier is lowered and most bias is applied to the ReRAM owing to RIRS > RFNT (Figure 2). Thus, filament formation is determined by the intrinsic ReRAM characteristics without any influence of the tunnel barrier. An additional filament can be formed along the partially formed filament for achieving set operation of the LRS because most of the electric field and current focus on the partially formed conductive filament path (Figure 5d). Consequently, the tunnel-barrier-integrated ReRAM can exhibit higher switching uniformity than a control sample without a tunnel barrier. Furthermore, the selected LRS and HRS and unselected LRS switching current uniformity were more reliable with the higher selectivity of the ReRAM, which has the multi-layer TiOy/TiOx, than with the lower selectivity of the ReRAM (Figure 6a,b,c). We confirmed that resistive switching uniformity can be improved by a tunnel barrier of high selectivity. In the case of higher selectivity, the RDT value is higher and more effectively controls the current flow of the ReRAM for uniform small filament formation. The smaller filament formation with higher selectivity was confirmed by the lower reset current (IReset), as shown in Figure 6d. In general, IReset is related to filament size, and a larger filament requires a higher IReset. It is well known that the filament size is determined at the set operation, and the filament size determines IReset[16, 17]. Thus, a higher selectivity of the ReRAM leads to a lower IReset with smaller filament formation by tunnel barrier controlled current flow.

Figure 6
figure 6

Switching current distributions (a, b, c) and relationship between selectivity values and I Reset (d). (a, b, c) Switching current distributions with various tunnel barriers with various selectivity values (selectivity of blue, red, and black are 66, 38, and 21, respectively). (d) Relationship between selectivity values and IReset.

Finally, the reliability of non-volatile memory applications was evaluated. To measure endurance, we applied a 1-μs pulse width of +2 V/-2.2 V (Figure 7a). It exhibited high endurance of up to 108 cycles (Figure 7b). Furthermore, we confirmed that the selector-less ReRAM suppressed leakage current in AC pulse operation. In a real cross-point array, pulse operation characteristics are highly important. In addition, retention was measured at 85°C for more than 104 s without noticeable degradation (Figure 7c).

Figure 7
figure 7

Pulse conditions (a), endurance reliability (b), and retention (c) measurement.


The role of a multi-functional tunnel barrier was investigated. The main concern areas of selectivity and switching uniformity were significantly improved. This is attributed to the tunnel barrier acting as an internal resistor that controls electron transfer owing to its variable resistance. In addition, the effect of the tunnel barrier on selectivity and switching uniformity was stronger in a multi-layer TiOy/TiOx than in a single-layer TiOx owing to the greater suppression of the VLow current flow.

Authors’ information

SL is currently a 2nd-year Ph.D. candidate at the Materials Science and Engineering of POSTECH, and his research field is ReRAM process and integration for high density memory.


  1. Waser R, Aono M: Nanoionic-based resistive switching memories. Nat Mater 2007, 6: 833. 10.1038/nmat2023

    Article  Google Scholar 

  2. Baek I’, Lee M, Seo S, Lee M, Seo D, Suh D, Park J, Park S, Kim H, Yoo I, Chung U, Moon J: Highly scalable non-volatile resistive memory using simple binary oxide driven by asymmetric unipolar voltage pulses. IEEE Int Electron Devices Meet 2004, 587.

    Google Scholar 

  3. Aratani K, Ohba K, Mizuguchi T, Yasuda S, Shiimoto T, Tsushima T, Sone T, Endo K, Kouchiyama A, Sasaki S, Maesaka A, Yamada N, Narisawa H: A novel resistance memory with high scalability and nanosecond switching. IEEE Int Electron Devices Meet 2007, 783.

    Google Scholar 

  4. Kamiya K, Yang M, Magyari-Kope B, Niya M, Nishi Y, Shiraishi K: Physics in designing desirable ReRAM stack structure-atomistic recipes based on oxygen chemical potential control and charge injection/removal. IEEE Int Electron Devices Meet 2012, 478.

    Google Scholar 

  5. Long S, Cagli C, Ielmini D, Liu M, Sune J: Reset statistics of NiO-based resistive switching memories. IEEE Electron Device Lett 2011, 32: 1570.

    Article  Google Scholar 

  6. Long S, Lian X, Cagli C, Perniola L, Miranda E, Liu M, Sune J: A model for the set statistics of RRAM inspired in the percolation model of oxide breakdown. IEEE Electron Device Lett 2013, 34: 999.

    Article  Google Scholar 

  7. Long S, Lian X, Ye T, Cagli C, Perniola L, Miranda E, Liu M, Sune J: Cycle-to-cycle intrinsic RESET statistics in HfO2-based unipolar RRAM devices. IEEE Electron Device Lett 2013, 34: 623.

    Article  Google Scholar 

  8. Lee S, Lee D, Woo J, Cha E, Park J, Song J, Moon K, Koo Y, Attari B, Tamanna N, Haque M, Hwang H: Highly reliable resistive switching without an initial forming operation by defect engineering. IEEE Electron Device Lett 2013, 34: 1515.

    Article  Google Scholar 

  9. Lee MJ, Lee DS, Kim HJ, Choi HS, Park JB, Kim HG, Cha YK, Chung UI, Yoo IK, Kim KN: Highly scalable threshold switching select device based on chaclogenide glasses for 3D nanoscaled memory arrays. IEEE International Electron Devices Meeting 2012, 33.

    Google Scholar 

  10. Woo J, Lee W, Park S, Kim S, Lee D, Choi G, Cha E, Lee J, Jung W, Park C, Hwang H: Multi-layer tunnel barrier (Ta2O5/TaOx/TiO2) engineering for bipolar RRAM selector applications. IEEE VLSI Symposium 2013, 12–4.

    Google Scholar 

  11. Chen H, Yu S, Gao B, Huang P, Kang J, Philip Wong H: HfOx based vertical resistive random access memory for cost-effective 3D cross-point architecture without cell selector. IEEE International Electron Devices Meeting 2012, 497.

    Google Scholar 

  12. Lee H, Kim S, Cho K, Hwang H, Choi H, Lee J, Lee S, Lee H, Suh J, Chung S, Kim Y, Kim K, Nam W, Cheong J, Kim J, Chae S, Hwang E, Park S, Sohn Y, Lee C, Shin H, Lee K, Hong K, Jeong H, Rho K, Kim Y, Chung S, Nickel J, Yang J, Cho H, et al.: Integration of 4F2 selector-less crossbar array 2Mb ReRAM based on transition metal oxides for high density memory applications. IEEE VLSI Symposium 2012, 151.

    Google Scholar 

  13. Jung J, Cho W: Tunnel barrier engineering for non-volatile memory. J Semicond Tech Sci 2008, 8: No. 1, 33.

    Google Scholar 

  14. Woo J, Jung S, Siddik M, Cha E, Sadaf S, Hwang H: Effect of interfacial oxide layer on the switching uniformity of Ge2Sb2Te5-based resistive change memory devices. AIP Applied Physics Letters 2011, 99: 162109. 10.1063/1.3656247

    Article  Google Scholar 

  15. Chen A: Switching control of resistive switching devices. AIP Appl Phys Lett 2010, 97: 263505. 10.1063/1.3532969

    Article  Google Scholar 

  16. Sriraman V, Chen Z, Li X, Wang X, Singh N, Lo G: HfO2 based resistive switching non-volatile memory (RRAM) and its potential for embedded applications. International Conference Solid-State Integration Circuit 2012, 32.

    Google Scholar 

  17. Chen B, Lu Y, Gao B, Fu Y, Zhang F, Huang P, Chen Y, Liu L, Kang J, Wang Y, Fang Z, Yu H, Li X, Wang X, Singh N, Lo G, Kwong D: Physical mechanisms of endurance degradation in TMO-RRAM. IEEE International Electron Devices Meeting 2011, 283.

    Google Scholar 

Download references


This work was supported by the R&D MOTIE/KEIT (10039191) and Brain Korea 21 PLUS project for Center for Creative Industrial Materials.

Author information

Authors and Affiliations


Corresponding author

Correspondence to Sangheon Lee.

Additional information

Competing interests

The authors declare that they have no competing interests.

Authors’ contributions

SL had studied and analyzed behaviors of resistive random access memory (ReRAM) for high selectivity and switching uniformity. He observed that the TiOx tunnel barrier plays an important role in selectivity and switching uniformity. Firstly, JW observed the non-linear behavior of the ReRAM in our group. DL participated in the switching uniformity analysis. EC participated in the study of the filament growth. Prof. HH comprehensively understands this work as an advisor. All authors have read and approved the final manuscript.

Authors’ original submitted files for images

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Lee, S., Woo, J., Lee, D. et al. Internal resistor of multi-functional tunnel barrier for selectivity and switching uniformity in resistive random access memory. Nanoscale Res Lett 9, 364 (2014).

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI:


  • ReRAM
  • Reliability
  • Selectivity