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US20180082742A1 - Memory device and method for driving same - Google Patents

Memory device and method for driving same Download PDF

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Publication number
US20180082742A1
US20180082742A1 US15/460,600 US201715460600A US2018082742A1 US 20180082742 A1 US20180082742 A1 US 20180082742A1 US 201715460600 A US201715460600 A US 201715460600A US 2018082742 A1 US2018082742 A1 US 2018082742A1
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Prior art keywords
interconnect
voltage
resistance change
change film
resistance
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US15/460,600
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US9941006B1 (en
Inventor
Yusuke ARAYASHIKI
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Kioxia Corp
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Toshiba Memory Corp
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Assigned to KABUSHIKI KAISHA TOSHIBA reassignment KABUSHIKI KAISHA TOSHIBA ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: ARAYASHIKI, YUSUKE
Assigned to TOSHIBA MEMORY CORPORATION reassignment TOSHIBA MEMORY CORPORATION ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: KABUSHIKI KAISHA TOSHIBA
Publication of US20180082742A1 publication Critical patent/US20180082742A1/en
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Assigned to TOSHIBA MEMORY CORPORATION reassignment TOSHIBA MEMORY CORPORATION CHANGE OF NAME AND ADDRESS Assignors: K.K. PANGEA
Assigned to KIOXIA CORPORATION reassignment KIOXIA CORPORATION CHANGE OF NAME AND ADDRESS Assignors: TOSHIBA MEMORY CORPORATION
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    • G11C13/0021Auxiliary circuits
    • G11C13/0097Erasing, e.g. resetting, circuits or methods
    • H01L27/2454
    • H01L27/249
    • H01L45/085
    • H01L45/1233
    • H01L45/1253
    • H01L45/145
    • HELECTRICITY
    • H10SEMICONDUCTOR DEVICES; ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10BELECTRONIC MEMORY DEVICES
    • H10B63/00Resistance change memory devices, e.g. resistive RAM [ReRAM] devices
    • H10B63/30Resistance change memory devices, e.g. resistive RAM [ReRAM] devices comprising selection components having three or more electrodes, e.g. transistors
    • H10B63/34Resistance change memory devices, e.g. resistive RAM [ReRAM] devices comprising selection components having three or more electrodes, e.g. transistors of the vertical channel field-effect transistor type
    • HELECTRICITY
    • H10SEMICONDUCTOR DEVICES; ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10BELECTRONIC MEMORY DEVICES
    • H10B63/00Resistance change memory devices, e.g. resistive RAM [ReRAM] devices
    • H10B63/80Arrangements comprising multiple bistable or multi-stable switching components of the same type on a plane parallel to the substrate, e.g. cross-point arrays
    • H10B63/84Arrangements comprising multiple bistable or multi-stable switching components of the same type on a plane parallel to the substrate, e.g. cross-point arrays arranged in a direction perpendicular to the substrate, e.g. 3D cell arrays
    • H10B63/845Arrangements comprising multiple bistable or multi-stable switching components of the same type on a plane parallel to the substrate, e.g. cross-point arrays arranged in a direction perpendicular to the substrate, e.g. 3D cell arrays the switching components being connected to a common vertical conductor
    • GPHYSICS
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    • G11C11/56Digital stores characterised by the use of particular electric or magnetic storage elements; Storage elements therefor using storage elements with more than two stable states represented by steps, e.g. of voltage, current, phase, frequency
    • G11C11/5614Digital stores characterised by the use of particular electric or magnetic storage elements; Storage elements therefor using storage elements with more than two stable states represented by steps, e.g. of voltage, current, phase, frequency using conductive bridging RAM [CBRAM] or programming metallization cells [PMC]
    • GPHYSICS
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    • G11C11/00Digital stores characterised by the use of particular electric or magnetic storage elements; Storage elements therefor
    • G11C11/56Digital stores characterised by the use of particular electric or magnetic storage elements; Storage elements therefor using storage elements with more than two stable states represented by steps, e.g. of voltage, current, phase, frequency
    • G11C11/5678Digital stores characterised by the use of particular electric or magnetic storage elements; Storage elements therefor using storage elements with more than two stable states represented by steps, e.g. of voltage, current, phase, frequency using amorphous/crystalline phase transition storage elements
    • GPHYSICS
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    • G11CSTATIC STORES
    • G11C11/00Digital stores characterised by the use of particular electric or magnetic storage elements; Storage elements therefor
    • G11C11/56Digital stores characterised by the use of particular electric or magnetic storage elements; Storage elements therefor using storage elements with more than two stable states represented by steps, e.g. of voltage, current, phase, frequency
    • G11C11/5685Digital stores characterised by the use of particular electric or magnetic storage elements; Storage elements therefor using storage elements with more than two stable states represented by steps, e.g. of voltage, current, phase, frequency using storage elements comprising metal oxide memory material, e.g. perovskites
    • GPHYSICS
    • G11INFORMATION STORAGE
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    • G11C13/00Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00
    • G11C13/0002Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00 using resistive RAM [RRAM] elements
    • G11C13/0004Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00 using resistive RAM [RRAM] elements comprising amorphous/crystalline phase transition cells
    • GPHYSICS
    • G11INFORMATION STORAGE
    • G11CSTATIC STORES
    • G11C13/00Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00
    • G11C13/0002Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00 using resistive RAM [RRAM] elements
    • G11C13/0007Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00 using resistive RAM [RRAM] elements comprising metal oxide memory material, e.g. perovskites
    • GPHYSICS
    • G11INFORMATION STORAGE
    • G11CSTATIC STORES
    • G11C13/00Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00
    • G11C13/0002Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00 using resistive RAM [RRAM] elements
    • G11C13/0009RRAM elements whose operation depends upon chemical change
    • G11C13/0011RRAM elements whose operation depends upon chemical change comprising conductive bridging RAM [CBRAM] or programming metallization cells [PMCs]
    • GPHYSICS
    • G11INFORMATION STORAGE
    • G11CSTATIC STORES
    • G11C13/00Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00
    • G11C13/0002Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00 using resistive RAM [RRAM] elements
    • G11C13/0021Auxiliary circuits
    • G11C13/0064Verifying circuits or methods
    • G11C2013/0066Verify correct writing whilst writing is in progress, e.g. by detecting onset or cessation of current flow in cell and using the detector output to terminate writing
    • GPHYSICS
    • G11INFORMATION STORAGE
    • G11CSTATIC STORES
    • G11C13/00Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00
    • G11C13/0002Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00 using resistive RAM [RRAM] elements
    • G11C13/0021Auxiliary circuits
    • G11C13/0069Writing or programming circuits or methods
    • G11C2013/0073Write using bi-directional cell biasing
    • GPHYSICS
    • G11INFORMATION STORAGE
    • G11CSTATIC STORES
    • G11C13/00Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00
    • G11C13/0002Digital stores characterised by the use of storage elements not covered by groups G11C11/00, G11C23/00, or G11C25/00 using resistive RAM [RRAM] elements
    • G11C13/0021Auxiliary circuits
    • G11C13/0069Writing or programming circuits or methods
    • G11C2013/0092Write characterized by the shape, e.g. form, length, amplitude of the write pulse
    • GPHYSICS
    • G11INFORMATION STORAGE
    • G11CSTATIC STORES
    • G11C2213/00Indexing scheme relating to G11C13/00 for features not covered by this group
    • G11C2213/70Resistive array aspects
    • G11C2213/71Three dimensional array
    • HELECTRICITY
    • H10SEMICONDUCTOR DEVICES; ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10NELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10N70/00Solid-state devices having no potential barriers, and specially adapted for rectifying, amplifying, oscillating or switching
    • H10N70/20Multistable switching devices, e.g. memristors
    • H10N70/24Multistable switching devices, e.g. memristors based on migration or redistribution of ionic species, e.g. anions, vacancies
    • H10N70/245Multistable switching devices, e.g. memristors based on migration or redistribution of ionic species, e.g. anions, vacancies the species being metal cations, e.g. programmable metallization cells
    • HELECTRICITY
    • H10SEMICONDUCTOR DEVICES; ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10NELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10N70/00Solid-state devices having no potential barriers, and specially adapted for rectifying, amplifying, oscillating or switching
    • H10N70/801Constructional details of multistable switching devices
    • H10N70/821Device geometry
    • H10N70/823Device geometry adapted for essentially horizontal current flow, e.g. bridge type devices
    • HELECTRICITY
    • H10SEMICONDUCTOR DEVICES; ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10NELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
    • H10N70/00Solid-state devices having no potential barriers, and specially adapted for rectifying, amplifying, oscillating or switching
    • H10N70/801Constructional details of multistable switching devices
    • H10N70/881Switching materials
    • H10N70/883Oxides or nitrides

Definitions

  • a memory device includes a first interconnect extending in a first direction, a second interconnect extending in a second direction crossing the first direction, a third interconnect extending in a third direction crossing a plane including the first direction and the second direction, a fourth interconnect extending in the third direction, a semiconductor member, a first resistance change film, and a second resistance change film.
  • the semiconductor member is connected between a first end of the second interconnect and the first interconnect.
  • the first resistance change film is connected between a side surface of the second interconnect and the third interconnect.
  • the second resistance change film is connected between a second end of the second interconnect and the fourth interconnect.
  • FIG. 1 is a perspective view showing a memory device according to the embodiment.
  • the memory device 1 includes a plurality of global bit lines 11 .
  • the global bit lines 11 are formed by partitioning an upper portion of a silicon substrate (not shown) by a device isolation insulator (not shown).
  • the global bit lines 11 are formed by providing an insulating film (not shown) on a silicon substrate and depositing polysilicon thereon.
  • an XYZ orthogonal coordinate system is adopted in the specification.
  • the extending direction of the global bit lines 11 is referred to as “X-direction”.
  • the arranging direction of the global bit lines 11 is referred to as “Y-direction”.
  • the direction orthogonal to the X-direction and the Y-direction is referred to as “Z-direction”.
  • One side of the Z-direction is also referred to as “upper”, and the other is also referred to as “lower”.
  • these expressions are used for convenience, and irrelevant to the direction of gravity.
  • a plurality of silicon members 12 are provided on each global bit line 11 . As viewed in the Z-direction, the silicon members 12 are arranged in a matrix along the X-direction and the Y-direction. Each silicon member 12 is shaped like a rectangular solid with the longitudinal direction in the Z-direction. The lower ends 12 a of a plurality of silicon members 12 arranged in a line along the X-direction are commonly connected to one global bit line 11 .
  • Each silicon member 12 includes an n + -type portion 13 , a p ⁇ -type portion 14 , and an n + -type portion 15 arranged in this order along the Z-direction from the lower side, i.e., from the global bit line 11 side toward the upper side.
  • the relationship between the n-type and the p-type may be reversed.
  • Two gate electrodes 16 extending in the Y-direction are provided between the silicon members 12 in the X-direction.
  • the gate electrode 16 is formed from e.g. polysilicon. As viewed in the X-direction, the gate electrode 16 overlaps an upper part of the n + -type portion 13 , the entirety of the p ⁇ -type portion 14 , and a lower part of the n + -type portion 15 .
  • a local bit line 21 is provided on the silicon member 12 .
  • the local bit line 21 extends in the Z-direction.
  • the local bit line 21 is shaped like e.g. a quadrangular prism. More specifically, the longitudinal direction of the local bit line 21 is the Z-direction.
  • the length in the Z-direction of the local bit line 21 is longer than the length in the X-direction and the length in the Y-direction.
  • the lower end 21 a and the upper end 21 b of the local bit line 21 are both ends in the Z-direction of the local bit line 21 .
  • the lower end 21 a of the local bit line 21 is connected to the upper end 12 b of the silicon member 12 .
  • Each local bit line 21 is placed directly above the corresponding silicon member 12 .
  • a plurality of local bit lines 21 are arranged in a matrix along the X-direction and the Y-direction.
  • a plurality of word lines 23 extending in the Y-direction are provided between the local bit lines 21 adjacent in the X-direction, and spaced from each other in the Z-direction. As viewed in the Y-direction, the word lines 23 are arranged in a matrix along the X-direction and the Z-direction.
  • the resistance change film 22 is connected between the local bit line 21 and the word line 23 .
  • a memory cell MC 1 is constituted via the resistance change film 22 for each crossing portion of the local bit line 21 and the word line 23 .
  • the memory cells MC 1 are arranged in a three-dimensional matrix along the X-direction, the Y-direction, and the Z-direction.
  • a nonlinear resistance layer 26 is provided on the upper end 21 b of the local bit line 21 .
  • the resistance value of the nonlinear resistance layer 26 depends on the applied voltage. The resistance value is lower for a higher voltage.
  • the nonlinear resistance layer 26 is formed from e.g. tantalum silicon nitride (TaSiN) or titanium silicon nitride (TiSiN).
  • a resistance change layer 27 is provided on the nonlinear resistance layer 26 .
  • the resistance change layer 27 is e.g. a CBRAM layer in which e.g. a silicon oxide layer and a silver layer are stacked.
  • the nonlinear resistance layer 26 and the resistance change layer 27 form a resistance change film 28 . As described later, the resistance change film 28 can assume three or more states different in resistance value.
  • a plurality of write word lines 29 extending in the Y-direction are provided on the resistance change film 28 .
  • the plurality of write word lines 29 are arranged periodically along the X-direction.
  • the local bit lines 21 arranged along the Y-direction are commonly connected to one write word line 29 via the respective resistance change films 28 .
  • the nonlinear resistance layer 26 and the resistance change layer 27 are connected in series between the local bit line 21 and the write word line 29 .
  • a memory cell MC 2 is constituted via the resistance change film 28 for each crossing portion of the local bit line 21 and the write word line 29 .
  • the memory cells MC 2 are arranged in a matrix along the X-direction and the Y-direction. In FIG. 1 , part of the resistance change films 28 and part of the write word lines are not shown for clarity of illustration.
  • the memory device 1 further includes a control circuit 31 .
  • the control circuit 31 is placed e.g. around the region provided with the global bit line 11 in the silicon substrate (not shown), or between the silicon substrate and the global bit line 11 .
  • the memory cell MC 1 stores data in correspondence with a plurality of resistance states of the resistance change film 22 .
  • the memory cell MC 2 assumes three or more states different in resistance value.
  • the memory cell MC 2 determines the magnitude of the maximum current, i.e., compliance current, passed at write operation of the memory cell MC 1 .
  • Difference in the magnitude of the compliance current passed at write operation of the memory cell MC 1 results in different resistance states of the memory cell MC 1 after setting.
  • the memory cell MC 1 can assume a plurality of resistance states after setting.
  • the plurality of resistance states after setting and a resistance state before setting amount to three or more resistance states that can be assumed by the memory cell MC 1 . This enables multivalued memory.
  • FIG. 3A is a timing chart showing the voltage applied to the resistance change film.
  • the horizontal axis represents time, and the vertical axis represents voltage.
  • FIG. 3B is a graph showing the behavior of the memory cell MC 2 .
  • the horizontal axis represents the voltage applied to the resistance change film in the voltage application period.
  • the vertical axis represents the current flowing in the resistance change film in the current measurement period.
  • a write voltage is applied to the memory cell MC 2 for a certain time. This lowers the resistance value of the resistance change film 28 .
  • silver atoms contained in the silver layer are ionized and carried into the silicon oxide layer. The silver ions are combined with electrons and precipitated in the silicon oxide layer to form a fine filament of silver.
  • a certain read voltage Vread is applied to the memory cell MC 2 to measure the value of current flowing in the memory cell MC 2 .
  • V 1 the write voltage applied to the memory cell MC 2 in the voltage application period t 1
  • I 1 the current flowing in the current measurement period t 2
  • FIG. 4 is a graph showing the behavior of the memory cell MC 1 .
  • the horizontal axis represents voltage, and the vertical axis represents current.
  • the magnitude of the compliance current assumes three levels of Icomp 1 , Icomp 2 , and Icomp 3 .
  • the read currents of the memory cell MC 1 after being set by these compliance currents are Iread 1 , Iread 2 , and Iread 3 , respectively.
  • the read current flowing upon application of the read voltage Vread is Iread 0 .
  • the read currents of the memory cell MC 1 can assume four levels in total. Data of 2 bits can be stored by assigning values “00”, “01”, “10”, and “11” to these levels.
  • step S 1 of FIG. 5 first, a memory cell MC 1 to be written is selected.
  • the memory cell MC 2 connected to the memory cell MC 1 thus selected is turned to low resistance.
  • step S 2 of FIG. 5 read operation is performed on the memory cell MC 2 to verify whether it is placed in an appropriate state.
  • the control circuit 31 applies a read potential V read2 of the memory cell MC 2 to the selected write word line 29 , and applies a potential of V read2 /2 equal to half the read potential V read2 to the non-selected write word line 29 . Furthermore, the control circuit 31 applies 0 V to both the selected word line 23 and the non-selected word line 23 , or places them in the floating state. The control circuit 31 applies the on-potential V SG to the selected gate electrode 16 . The control circuit 31 applies 0 V to the non-selected gate electrode 16 , or places it in the floating state. The control circuit 31 applies 0 V to the selected global bit line 11 , and applies a potential of V read2 /2 to the non-selected global bit line 11 .
  • the selected local bit line 21 is applied with 0 V from the selected global bit line 11 through the TFT 19 placed in the conducting state.
  • the selected write word line 29 is applied with the read potential V read2 of the memory cell MC 2 .
  • the selected memory cell MC 2 is applied with a voltage of V read2 ⁇ 0.
  • a current flows in the path made of the write word line 29 , the memory cell MC 2 , the local bit line 21 , the silicon member 12 , and the global bit line 11 .
  • the magnitude of this current is measured by a sense amplifier of the control circuit 31 .
  • the resistance state of the memory cell MC 2 can be verified.
  • step S 3 of FIG. 5 data is written to the selected memory cell MC 1 .
  • the memory cell MC 2 has been placed in a prescribed resistance state except the state of highest resistance value.
  • step S 6 of FIG. 5 data is erased from the memory cell MC 1 .

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  • Semiconductor Memories (AREA)

Abstract

A memory device includes a first interconnect extending in a first direction, a second interconnect extending in a second direction crossing the first direction, a third interconnect extending in a third direction crossing a plane including the first direction and the second direction, a fourth interconnect extending in the third direction, a semiconductor member, a first resistance change film, and a second resistance change film. The semiconductor member is connected between a first end of the second interconnect and the first interconnect. The first resistance change film is connected between a side surface of the second interconnect and the third interconnect. The second resistance change film is connected between a second end of the second interconnect and the fourth interconnect.

Description

    CROSS-REFERENCE TO RELATED APPLICATIONS
  • This application is based upon and claims the benefit of priority from U.S. Provisional Patent Application 62/395,670, filed on Sep. 16, 2016; the entire contents of which are incorporated herein by reference.
  • FIELD
  • Embodiments relate to a memory device and a method for driving the same.
  • BACKGROUND
  • In recent years, there has been proposed a memory device in which resistance change memory cells are integrated in three dimensions. In such a memory device, a resistance change film is provided between a word line and a bit line. Data are stored by controlling the resistance value of this resistance change film. Also in such a resistance change memory device, multivalued operation of memory cells is desired to increase the memory density of data.
  • BRIEF DESCRIPTION OF THE DRAWINGS
  • FIG. 1 is a perspective view showing a memory device according to an embodiment;
  • FIG. 2 is a sectional view showing the memory device according to the embodiment;
  • FIG. 3A is a timing chart showing voltage applied to a resistance change film, while a horizontal axis representing time, and a vertical axis representing voltage; FIG. 3B is a graph showing a behavior of a memory cell MC2, while a horizontal axis representing voltage applied to the resistance change film in a voltage application period, and a vertical axis representing current flowing in the resistance change film in a current measurement period;
  • FIG. 4 is a graph showing a behavior of a memory cell MC1, while a horizontal axis representing voltage, and a vertical axis representing current; and
  • FIG. 5 is a timing chart showing an operation of the memory device according to the embodiment, while a horizontal axis representing time, and a vertical axis representing a potential applied to each interconnect.
  • DETAILED DESCRIPTION
  • A memory device according to an embodiment includes a first interconnect extending in a first direction, a second interconnect extending in a second direction crossing the first direction, a third interconnect extending in a third direction crossing a plane including the first direction and the second direction, a fourth interconnect extending in the third direction, a semiconductor member, a first resistance change film, and a second resistance change film. The semiconductor member is connected between a first end of the second interconnect and the first interconnect. The first resistance change film is connected between a side surface of the second interconnect and the third interconnect. The second resistance change film is connected between a second end of the second interconnect and the fourth interconnect.
  • Embodiments of the invention will now be described with reference to the drawings.
  • FIG. 1 is a perspective view showing a memory device according to the embodiment.
  • FIG. 2 is a sectional view showing the memory device according to the embodiment.
  • As shown in FIGS. 1 and 2, the memory device 1 according to the embodiment includes a plurality of global bit lines 11. The global bit lines 11 are formed by partitioning an upper portion of a silicon substrate (not shown) by a device isolation insulator (not shown). Alternatively, the global bit lines 11 are formed by providing an insulating film (not shown) on a silicon substrate and depositing polysilicon thereon.
  • In the following, an XYZ orthogonal coordinate system is adopted in the specification. The extending direction of the global bit lines 11 is referred to as “X-direction”. The arranging direction of the global bit lines 11 is referred to as “Y-direction”. The direction orthogonal to the X-direction and the Y-direction is referred to as “Z-direction”. One side of the Z-direction is also referred to as “upper”, and the other is also referred to as “lower”. However, these expressions are used for convenience, and irrelevant to the direction of gravity.
  • A plurality of silicon members 12 are provided on each global bit line 11. As viewed in the Z-direction, the silicon members 12 are arranged in a matrix along the X-direction and the Y-direction. Each silicon member 12 is shaped like a rectangular solid with the longitudinal direction in the Z-direction. The lower ends 12 a of a plurality of silicon members 12 arranged in a line along the X-direction are commonly connected to one global bit line 11.
  • Each silicon member 12 includes an n+-type portion 13, a p-type portion 14, and an n+-type portion 15 arranged in this order along the Z-direction from the lower side, i.e., from the global bit line 11 side toward the upper side. The relationship between the n-type and the p-type may be reversed.
  • Two gate electrodes 16 extending in the Y-direction are provided between the silicon members 12 in the X-direction. The gate electrode 16 is formed from e.g. polysilicon. As viewed in the X-direction, the gate electrode 16 overlaps an upper part of the n+-type portion 13, the entirety of the p-type portion 14, and a lower part of the n+-type portion 15.
  • A gate insulating film 17 made of e.g. silicon oxide is provided between the silicon member 12 and the gate electrode 16. The silicon member 12 including the n+-type portion 13, the p-type portion 14, and the n+-type portion 15, the gate insulating film 17, and a pair of gate electrodes 16 sandwiching the silicon member 12 constitute a TFT 19 of e.g. n-channel type. The TFT 19 is a switching element for switching between conduction and interruption of current.
  • A local bit line 21 is provided on the silicon member 12. The local bit line 21 extends in the Z-direction. The local bit line 21 is shaped like e.g. a quadrangular prism. More specifically, the longitudinal direction of the local bit line 21 is the Z-direction. The length in the Z-direction of the local bit line 21 is longer than the length in the X-direction and the length in the Y-direction. The lower end 21 a and the upper end 21 b of the local bit line 21 are both ends in the Z-direction of the local bit line 21.
  • The lower end 21 a of the local bit line 21 is connected to the upper end 12 b of the silicon member 12. Each local bit line 21 is placed directly above the corresponding silicon member 12. Thus, in the memory device 1 as a whole, a plurality of local bit lines 21 are arranged in a matrix along the X-direction and the Y-direction.
  • A resistance change film 22 is provided on both side surfaces 21 c facing the X-direction of the local bit line 21. The resistance change film 22 is a film in which the resistance state is changed by the voltage or current applied thereto. The resistance change film 22 is made of e.g. metal oxide such as hafnium oxide (HfO2). The resistance change film 22 may be a CBRAM (conductive bridging random access memory) film or PCRAM (phase change random access memory) film.
  • A plurality of word lines 23 extending in the Y-direction are provided between the local bit lines 21 adjacent in the X-direction, and spaced from each other in the Z-direction. As viewed in the Y-direction, the word lines 23 are arranged in a matrix along the X-direction and the Z-direction. The resistance change film 22 is connected between the local bit line 21 and the word line 23. Thus, a memory cell MC1 is constituted via the resistance change film 22 for each crossing portion of the local bit line 21 and the word line 23. The memory cells MC1 are arranged in a three-dimensional matrix along the X-direction, the Y-direction, and the Z-direction.
  • A nonlinear resistance layer 26 is provided on the upper end 21 b of the local bit line 21. The resistance value of the nonlinear resistance layer 26 depends on the applied voltage. The resistance value is lower for a higher voltage. The nonlinear resistance layer 26 is formed from e.g. tantalum silicon nitride (TaSiN) or titanium silicon nitride (TiSiN). A resistance change layer 27 is provided on the nonlinear resistance layer 26. The resistance change layer 27 is e.g. a CBRAM layer in which e.g. a silicon oxide layer and a silver layer are stacked. The nonlinear resistance layer 26 and the resistance change layer 27 form a resistance change film 28. As described later, the resistance change film 28 can assume three or more states different in resistance value.
  • A plurality of write word lines 29 extending in the Y-direction are provided on the resistance change film 28. The plurality of write word lines 29 are arranged periodically along the X-direction. Thus, the local bit lines 21 arranged along the Y-direction are commonly connected to one write word line 29 via the respective resistance change films 28. The nonlinear resistance layer 26 and the resistance change layer 27 are connected in series between the local bit line 21 and the write word line 29. As a result, a memory cell MC2 is constituted via the resistance change film 28 for each crossing portion of the local bit line 21 and the write word line 29. The memory cells MC2 are arranged in a matrix along the X-direction and the Y-direction. In FIG. 1, part of the resistance change films 28 and part of the write word lines are not shown for clarity of illustration.
  • The memory device 1 further includes a control circuit 31. The control circuit 31 is placed e.g. around the region provided with the global bit line 11 in the silicon substrate (not shown), or between the silicon substrate and the global bit line 11.
  • Next, the operation of the memory device according to the embodiment is described.
  • First, the operational principle of the memory device 1 according to the embodiment is briefly described.
  • The memory cell MC1 stores data in correspondence with a plurality of resistance states of the resistance change film 22. The memory cell MC2 assumes three or more states different in resistance value. Thus, the memory cell MC2 determines the magnitude of the maximum current, i.e., compliance current, passed at write operation of the memory cell MC1. Difference in the magnitude of the compliance current passed at write operation of the memory cell MC1 results in different resistance states of the memory cell MC1 after setting. Thus, the memory cell MC1 can assume a plurality of resistance states after setting. The plurality of resistance states after setting and a resistance state before setting amount to three or more resistance states that can be assumed by the memory cell MC1. This enables multivalued memory.
  • In the following, the operation of each part is described in detail.
  • First, the behavior of the memory cell MC2 is described.
  • FIG. 3A is a timing chart showing the voltage applied to the resistance change film. The horizontal axis represents time, and the vertical axis represents voltage. FIG. 3B is a graph showing the behavior of the memory cell MC2. The horizontal axis represents the voltage applied to the resistance change film in the voltage application period. The vertical axis represents the current flowing in the resistance change film in the current measurement period.
  • FIGS. 3A and 3B show a test example for characterizing the memory cell MC2. In the test example shown in FIGS. 3A and 3B, it is assumed that in the initial state, the resistance change film 28 is in the high resistance state, i.e., the state of highest resistance value among the states that can be assumed by the resistance change film 28. For instance, the resistance change layer 27 is a CBRAM layer made of a silicon oxide layer and a silver layer. In this case, this is a state in which no silver filament is formed in the silicon oxide layer.
  • From this state, as shown in FIG. 3A, in a voltage application period t1, a write voltage is applied to the memory cell MC2 for a certain time. This lowers the resistance value of the resistance change film 28. In the aforementioned example, silver atoms contained in the silver layer are ionized and carried into the silicon oxide layer. The silver ions are combined with electrons and precipitated in the silicon oxide layer to form a fine filament of silver. Next, in a current measurement period t2, a certain read voltage Vread is applied to the memory cell MC2 to measure the value of current flowing in the memory cell MC2. For instance, the write voltage applied to the memory cell MC2 in the voltage application period t1 is denoted by V1, and the current flowing in the current measurement period t2 is denoted by I1.
  • This cycle is repeated by sweeping the write voltage. That is, the write voltage is increased step by step for each voltage application period t1. For a higher write voltage, the resistance value of the resistance change layer 27 is lower. In the aforementioned example, the silver filament formed in the silicon oxide layer becomes thicker and more robust. Furthermore, for a higher write voltage, the resistance value of the nonlinear resistance layer 26 is lower. Thus, of the voltage applied to the entirety of the resistance change film 28, the voltage applied to the nonlinear resistance layer 26 decreases. By this amount, the voltage applied to the resistance change layer 27 increases. This further lowers the resistance value of the resistance change layer 27. By such synergy between the nonlinear resistance layer 26 and the resistance change layer 27, for a higher write voltage, the resistance value of the resistance change film 28 is lower.
  • As a result, as shown in FIG. 3B, for different write voltages applied in the voltage application period t1, the memory cell MC2 exhibits different read currents flowing in the current measurement period t2. For a higher write voltage, the read current is larger. That is, V1<V2<V3 results in I1<I2<I3. In other words, for a higher write voltage, the resistance value of the memory cell MC2 is lower. Thus, the resistance value of the memory cell MC2 can be controlled by adjusting the height of the write voltage.
  • Next, the behavior of the memory cell MC1 is described.
  • FIG. 4 is a graph showing the behavior of the memory cell MC1. The horizontal axis represents voltage, and the vertical axis represents current.
  • As shown in FIG. 4, the voltage applied to the memory cell MC1 in the high resistance state is continuously increased from zero. When the voltage reaches the set voltage Vset, the resistance change film 22 is set. Thus, the memory cell MC1 is changed to a low resistance state. However, the state reached by the memory cell MC1 depends on the magnitude of the compliance current at the set time. For a larger compliance current, the resistance value of the memory cell MC1 is lower. Thus, the magnitude of the current flowing upon application of a prescribed read voltage Vread to the memory cell MC1 also depends on the magnitude of the compliance current at the set time.
  • In the example shown in FIG. 4, the magnitude of the compliance current assumes three levels of Icomp1, Icomp2, and Icomp3. The read currents of the memory cell MC1 after being set by these compliance currents are Iread1, Iread2, and Iread3, respectively. In the case of performing no set operation, i.e., when the memory cell MC1 is in the high resistance state, the read current flowing upon application of the read voltage Vread is Iread0. Thus, the read currents of the memory cell MC1 can assume four levels in total. Data of 2 bits can be stored by assigning values “00”, “01”, “10”, and “11” to these levels.
  • Next, the overall operation of the memory device 1 according to the embodiment is described specifically.
  • FIG. 5 is a timing chart showing the operation of the memory device according to the embodiment. The horizontal axis represents time, and the vertical axis represents the potential applied to each interconnect.
  • It is assumed that in the initial state, the memory cell MC1 and the memory cell MC2 are both in the high resistance state.
  • As shown in step S1 of FIG. 5, first, a memory cell MC1 to be written is selected. The memory cell MC2 connected to the memory cell MC1 thus selected is turned to low resistance.
  • Specifically, the control circuit 31 applies a set potential Vset2 of the memory cell MC2 to the selected write word line 29, and applies a potential of Vset2/2 equal to half the set potential Vset2 to the non-selected write word line 29. Furthermore, the control circuit 31 applies 0 V to both the selected word line 23 and the non-selected word line 23, or places them in the floating state. The control circuit 31 applies an on-potential VSG to the selected gate electrode 16. The control circuit 31 applies 0 V to the non-selected gate electrode 16, or places it in the floating state. The control circuit 31 applies 0 V to the selected global bit line 11, and applies a potential of Vset2/2 to the non-selected global bit line 11.
  • Thus, the selected TFT 19 turns to the conducting state. The selected local bit line 21 is applied through the TFT 19 with a potential of 0 V applied to the selected global bit line 11. On the other hand, the selected write word line 29 is applied with the set potential Vset2 of the memory cell MC2. Thus, the selected memory cell MC2 is applied with a voltage of Vset2−0. As a result, the memory cell MC2 is set and turns to the low resistance state. However, as described above, the low resistance state of the memory cell MC2 has a plurality of levels. The memory cell MC2 assumes one of these levels. In other words, the resistance change film 28 turns to a state except the state of highest resistance value among the three or more possible states. On the other hand, the non-selected memory cell MC2 is applied with a potential of Vset2/2 on both sides, or placed in the floating state on the local bit line 21 side. Thus, the non-selected memory cell MC2 is not set.
  • Next, as shown in step S2 of FIG. 5, read operation is performed on the memory cell MC2 to verify whether it is placed in an appropriate state.
  • Specifically, the control circuit 31 applies a read potential Vread2 of the memory cell MC2 to the selected write word line 29, and applies a potential of Vread2/2 equal to half the read potential Vread2 to the non-selected write word line 29. Furthermore, the control circuit 31 applies 0 V to both the selected word line 23 and the non-selected word line 23, or places them in the floating state. The control circuit 31 applies the on-potential VSG to the selected gate electrode 16. The control circuit 31 applies 0 V to the non-selected gate electrode 16, or places it in the floating state. The control circuit 31 applies 0 V to the selected global bit line 11, and applies a potential of Vread2/2 to the non-selected global bit line 11.
  • Thus, the selected local bit line 21 is applied with 0 V from the selected global bit line 11 through the TFT 19 placed in the conducting state. Furthermore, the selected write word line 29 is applied with the read potential Vread2 of the memory cell MC2. Thus, the selected memory cell MC2 is applied with a voltage of Vread2−0. As a result, a current flows in the path made of the write word line 29, the memory cell MC2, the local bit line 21, the silicon member 12, and the global bit line 11. The magnitude of this current is measured by a sense amplifier of the control circuit 31. Thus, the resistance state of the memory cell MC2 can be verified.
  • The aforementioned steps S1 and S2 may be repeated until the memory cell MC2 turns to a prescribed resistance state.
  • Next, as shown in step S3 of FIG. 5, data is written to the selected memory cell MC1. At this time, the memory cell MC2 has been placed in a prescribed resistance state except the state of highest resistance value.
  • Specifically, the control circuit 31 applies a set potential Vset1 of the memory cell MC1 to the selected write word line 29, and applies a potential of Vset1/2 equal to half the set potential Vset1 to the non-selected write word line 29. Furthermore, the control circuit 31 applies 0 V to the selected word line 23, and applies a potential of Vset1/2 to the non-selected word line 23. The control circuit 31 applies 0 V to all the gate electrodes 16 and all the global bit lines 11, or places them in the floating state.
  • Thus, all the TFTs 19 turn to the non-conducting state. The local bit line 21 is applied with the set potential Vset1 from the selected write word line 29 through the memory cell MC2. The selected word line 23 is applied with 0 V. Thus, the selected memory cell MC1 is applied with a voltage of Vset1−0. As a result, the selected memory cell MC1 is set and turns to the low resistance state. The moment the memory cell MC1 is set, a large current flows in the path made of the write word line 29, the memory cell MC2, the local bit line 21, the memory cell MC1, and the word line 23. However, the maximum of the current flowing at this time, i.e., compliance current, is determined by the resistance state of the memory cell MC2. The resistance state of the memory cell MC1 after setting depends on the magnitude of the compliance current. Thus, the resistance state of the selected memory cell MC1 is also determined by the resistance state of the memory cell MC2. On the other hand, the non-selected memory cell MC1 is applied with a voltage of Vset1/2 or 0 V. Thus, the non-selected memory cell MC1 is not set. Accordingly, data is written to the selected memory cell MC1.
  • Next, as shown in step S4 of FIG. 5, the memory cell MC2 is turned to high resistance.
  • Specifically, the control circuit 31 applies 0 V to the selected write word line 29, and applies a potential of Vreset2/2 equal to half a reset potential Vreset2 to the non-selected write word line 29. Furthermore, the control circuit 31 applies 0 V to all the word lines 23, or places them in the floating state. The control circuit 31 applies the on-potential VSG to the selected gate electrode 16. The control circuit 31 applies 0 V to the non-selected gate electrode 16, or places it in the floating state. The control circuit 31 applies the reset potential Vreset2 to the selected global bit line 11, and applies a potential of Vset2/2 to the non-selected global bit line 11.
  • Thus, the selected TFT 19 turns to the conducting state. The selected local bit line 21 is applied through the TFT 19 with the reset potential Vreset2 applied to the selected global bit line 11. On the other hand, the selected write word line 29 is applied with 0 V. Thus, the selected memory cell MC2 is applied with a voltage of Vreset2−0. As a result, the memory cell MC2 is reset and turns to the high resistance state, i.e., the state of highest resistance value among the possible states. On the other hand, the non-selected memory cell MC2 is applied with a potential of Vreset2/2 on both sides, or placed in the floating state on the local bit line 21 side. Thus, the non-selected memory cell MC2 is not reset. At the time of read operation and erase operation of the memory cell MC1 described below, the memory cell MC2 is always placed in the high resistance state.
  • Next, as shown in step S5 of FIG. 5, data is read from the memory cell MC1.
  • Specifically, the control circuit 31 applies 0 V to all the write word lines 29, or places them in the floating state. The control circuit 31 applies 0 V to the selected word line 23, and applies a potential of Vread1/2 equal to half a read potential Vread1 to the non-selected word line 23. The control circuit 31 applies the on-potential VSG to the selected gate electrode 16. The control circuit 31 applies 0 V to the non-selected gate electrode 16, or places it in the floating state. The control circuit 31 applies the read potential Vread1 to the selected global bit line 11, and applies a potential of Vread1/2 to the non-selected global bit line 11.
  • Thus, the selected local bit line 21 is applied with the read potential Vread1 applied to the selected global bit line 11 through the TFT 19 placed in the conducting state. Furthermore, the selected word line 23 is applied with 0 V. Thus, the selected memory cell MC1 is applied with a voltage of Vread1−0. As a result, a current flows in the path made of the word line 23, the memory cell MC1, the local bit line 21, the silicon member 12, and the global bit line 11. The magnitude of this current is measured by the sense amplifier of the control circuit 31. Thus, the resistance state of the memory cell MC1 can be evaluated, and the value stored in the memory cell MC1 can be read. On the other hand, the non-selected memory cell MC1 is applied with a potential of Vread1/2 on both sides, or placed in the floating state on the local bit line 21 side. Thus, no substantial current flows therein. At this time, all the memory cells MC2 are placed in the high resistance state, and all the write word lines 29 are placed at 0 V or in the floating state. Thus, no substantial current flows from the local bit line 21 to the write word line 29.
  • Next, as shown in step S6 of FIG. 5, data is erased from the memory cell MC1.
  • Specifically, the control circuit 31 applies 0 V to all the write word lines 29, or places them in the floating state. The control circuit 31 applies a reset potential Vreset1 of the memory cell MC1 to the selected word line 23, and applies a potential of Vreset1/2 equal to half the reset potential Vreset1 to the non-selected word line 23. The control circuit 31 applies the on-potential VSG to the selected gate electrode 16. The control circuit 31 applies 0 V to the non-selected gate electrode 16, or places it in the floating state. The control circuit 31 applies 0 V to the selected global bit line 11, and applies a potential of Vreset1/2 to the non-selected global bit line 11.
  • Thus, the selected local bit line 21 is applied with 0 V from the selected global bit line 11 through the TFT 19 placed in the conducting state. Furthermore, the selected word line 23 is applied with the reset potential Vreset1. Thus, the selected memory cell MC1 is applied with a voltage equal to the reset potential Vreset1−0. As a result, the selected memory cell MC1 is reset and turns to the high resistance state. On the other hand, the non-selected memory cell MC1 is applied with a voltage of Vreset1/2 or 0 V. Thus, the non-selected memory cell MC1 is not reset. Accordingly, data is erased from the selected memory cell MC1. Also at this time, all the memory cells MC2 are placed in the high resistance state, and all the write word lines 29 are placed at 0 V or in the floating state. Thus, no substantial current flows from the local bit line 21 to the write word line 29.
  • Next, the effect of the embodiment is described.
  • In the memory device 1 according to the embodiment, the write word line 29 is provided and connected to the local bit line 21 through the memory cell MC2. Thus, by controlling the resistance state of the memory cell MC2, the magnitude of the compliance current at the time of setting the memory cell MC1 can be selected to select the resistance value after the memory cell MC1 is set. As a result, multivalued data can be stored in the memory cell MC1. Thus, the memory device 1 has high memory density.
  • The resistance change film 28 constituting the memory cell MC2 is provided above the local bit line 21. Thus, provision of the resistance change film 28 does not lengthen the arrangement pitch of the local bit lines 21 in the X-direction and the Y-direction. Accordingly, miniaturization of the memory device 1 is not hampered.
  • The embodiment described above can realize a memory device having high memory density and a method for driving the same.
  • While certain embodiments have been described, these embodiments have been presented by way of example only, and are not intended to limit the scope of the inventions. Indeed, the novel embodiments described herein may be embodied in a variety of other forms; furthermore, various omissions, substitutions and changes in the form of the embodiments described herein may be made without departing from the spirit of the inventions. The accompanying claims and their equivalents are intended to cover such forms or modifications as would fall within the scope and spirit of the invention.

Claims (20)

What is claimed is:
1. A memory device comprising:
a first interconnect extending in a first direction;
a second interconnect extending in a second direction crossing the first direction;
a third interconnect extending in a third direction crossing a plane including the first direction and the second direction;
a fourth interconnect extending in the third direction;
a semiconductor member connected between a first end of the second interconnect and the first interconnect;
a first resistance change film connected between a side surface of the second interconnect and the third interconnect; and
a second resistance change film connected between a second end of the second interconnect and the fourth interconnect.
2. The device according to claim 1, wherein
the first end and the second end are both ends in the second direction of the second interconnect, and
the side surface is a surface facing the first direction of the second interconnect.
3. The device according to claim 1, further comprising:
an electrode placed on the first direction side of the semiconductor member and extending in the third direction.
4. The device according to claim 1, wherein
the second resistance change film includes:
a nonlinear resistance layer having a resistance value depending on voltage; and
a resistance change layer, and
the nonlinear resistance layer and the resistance change layer are connected in series between the second interconnect and the fourth interconnect.
5. The device according to claim 4, wherein the nonlinear resistance layer contains silicon, nitrogen, and at least one of tantalum and titanium.
6. The device according to claim 1, wherein the second resistance change film can assume three or more states different in resistance value.
7. The device according to claim 6, further comprising:
a control circuit,
wherein the control circuit brings the semiconductor member into conduction and applies a first voltage, a second voltage of opposite polarity to the first voltage, or a third voltage having the same polarity as the second voltage and having a larger absolute value than the second voltage between the first interconnect and the fourth interconnect.
8. The device according to claim 7, wherein
the control circuit changes a resistance value of the first resistance change film into a value corresponding to the second voltage by applying a voltage between the fourth interconnect and the third interconnect, after applying the second voltage between the first interconnect and the fourth interconnect, and
the control circuit changes a resistance value of the first resistance change film into a value corresponding to the third voltage by applying a voltage between the fourth interconnect and the third interconnect, after applying the third voltage between the first interconnect and the fourth interconnect.
9. The device according to claim 7, wherein the control circuit brings the semiconductor member into conduction and applies a voltage between the first interconnect and the third interconnect after applying the first voltage between the first interconnect and the fourth interconnect while data is read.
10. The device according to claim 7, wherein the control circuit turns the first resistance change film to a state of highest resistance value by bringing the semiconductor member into conduction and applying a voltage between the first interconnect and the third interconnect after applying the first voltage between the first interconnect and the fourth interconnect.
11. The device according to claim 7, wherein
the control circuit changes a resistance value of the first resistance change film into a value corresponding to the second voltage by applying a voltage between the fourth interconnect and the third interconnect, after bringing the semiconductor member into conduction and applying the second voltage between the first interconnect and the fourth interconnect, or the control circuit changes a resistance value of the first resistance change film into a value corresponding to the third voltage by applying a voltage between the fourth interconnect and the third interconnect, after bringing the semiconductor member into conduction and applying the third voltage between the first interconnect and the fourth interconnect, then
the control circuit brings the semiconductor member into conduction and applies the first voltage between the first interconnect and the fourth interconnect.
12. A memory device comprising:
a first interconnect extending in a first direction;
a second interconnect extending in a second direction crossing the first direction;
a third interconnect extending in a third direction crossing a plane including the first direction and the second direction;
a first resistance change film connected between the first interconnect and the second interconnect;
a second resistance change film connected between the first interconnect and the third interconnect and being capable of assuming three or more states different in resistance value; and
a control circuit,
the control circuit being configured to turn the second resistance change film to a state except the state of highest resistance value among the three or more states by applying a voltage between the first interconnect and the third interconnect,
the control circuit being configured to change a resistance value of the first resistance change film by applying a potential to the first interconnect from the third interconnect through the second resistance change film and applying a potential to the second interconnect, and
the control circuit being configured to turn the second resistance change film to the state of highest resistance value among the three or more states by applying a voltage between the first interconnect and the third interconnect.
13. The device according to claim 12, wherein the control circuit measures a current flowing in the first resistance change film by applying a voltage between the first interconnect and the second interconnect when the second resistance change film is in the state of highest resistance value among the three or more states.
14. The device according to claim 12, wherein the control circuit turns the first resistance change film to a state of highest resistance value by applying a voltage between the first interconnect and the second interconnect when the second resistance change film is in the state of highest resistance value among the three or more states.
15. The device according to claim 12, further comprising:
a fourth interconnect extending in the third direction; and
a semiconductor member connected between the first interconnect and the fourth interconnect,
wherein the control circuit applies a potential from the fourth interconnect through the semiconductor member to the first interconnect by bringing the semiconductor member into conduction and applying a potential to the fourth interconnect.
16. The device according to claim 12, wherein
the second resistance change film includes:
a nonlinear resistance layer having a resistance value depending on voltage; and
a resistance change layer, and
the nonlinear resistance layer and the resistance change layer are connected in series between the first interconnect and the third interconnect.
17. The device according to claim 16, wherein the nonlinear resistance layer contains silicon, nitrogen, and at least one of tantalum and titanium.
18. A method for driving a memory device including a first interconnect extending in a first direction, a second interconnect extending in a second direction crossing the first direction, a third interconnect extending in a third direction crossing a plane including the first direction and the second direction, a first resistance change film connected between the first interconnect and the second interconnect, and a second resistance change film connected between the first interconnect and the third interconnect and being capable of assuming three or more states different in resistance value, the method comprising:
turning the second resistance change film to a state except the state of highest resistance value among the three or more states by applying a voltage between the first interconnect and the third interconnect;
changing a resistance value of the first resistance change film by applying a potential to the first interconnect from the third interconnect through the second resistance change film and applying a potential to the second interconnect; and
turning the second resistance change film to the state of highest resistance value among the three or more states by applying a voltage between the first interconnect and the third interconnect.
19. The method according to claim 18, further comprising:
measuring a current flowing in the first resistance change film by applying a voltage between the first interconnect and the second interconnect when the second resistance change film is in the state of highest resistance value among the three or more states.
20. The method according to claim 18, further comprising:
turning the first resistance change film to a state of highest resistance value by applying a voltage between the first interconnect and the second interconnect when the second resistance change film is in the state of highest resistance value among the three or more states.
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