According to one embodiment, a semiconductor memory device includes a variable resistance element configured to store data “0” and data “1” in accordance with a change in resistance value, a current generator configured to generate a reference current for determining data of the variable resistance element, and having an admittance middle at a level in between an admittance of a variable resistance element storing data “0” and an admittance of a variable resistance element storing data “1”, and a sense amplifier includes a first input terminal connected to the variable resistance element and a second input terminal connected to the current generator, and configured to compare currents of the first input terminal and the second input terminal.
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1. A semiconductor memory device comprising:
a variable resistance element configured to store a first data and a second data in accordance with a change in resistance value;
a current generator configured to generate a reference current for determining data of the variable resistance element, and having a middle admittance between an admittance of the variable resistance element storing the first data and an admittance of the variable resistance element storing the second data; and
a sense amplifier comprising a first input terminal connected to the variable resistance element and a second input terminal connected to the current generator, and configured to compare currents of the first input terminal and the second input terminal,
wherein the middle admittance Ymid satisfies the following equation
line-formulae description="In-line Formulae" end="lead"?>Ymid =(Rmax +Rmin)/(2Rmax*Rmin)line-formulae description="In-line Formulae" end="tail"?> where Rmin is a resistance value of the variable resistance element storing the first data, and Rmax is a resistance value of the variable resistance element storing the second data.
0. 19. A reference current generator in a semiconductor memory device, comprising:
a first variable resistance element in a first dummy memory cell of a first memory unit and connected between a first terminal and a first node;
a second variable resistance element in a second dummy memory cell of the first memory unit and connected between the first terminal and the first node;
a third variable resistance element in a third dummy memory cell of the first memory unit and connected between the first node and a second terminal; and
a fourth variable resistance element in a fourth dummy memory cell of the first memory unit and connected between the first node and the second terminal, wherein
the first variable resistance element is configurable to have a first resistive state,
the second variable resistance element is configurable to have a second resistive state that is less than the first resistive state,
the third variable resistance element is configurable to have the first resistive state,
the fourth variable resistance element is configurable to have the second resistive state, and
a middle admittance of the reference current generator is equal to the sum of a first resistance value of the first or the third variable resistance element in the first resistive state and a second resistance value of the second or the fourth variable resistance element in the second resistive state divided by the product of twice the first resistance value and the second resistance value, wherein
the first resistance value corresponds to storage of first data, and the second resistance value corresponds to storage of second data.
0. 14. A semiconductor memory device, comprising:
a first memory array including a first memory unit comprising a plurality of memory cells and including variable resistance elements configurable to have one of a first resistive state and a second resistive state, a variable resistance element in each memory cell being connected between a first bit line and a second bit line;
a second memory array including a second memory unit comprising a plurality of memory cells and including variable resistance elements configurable to have one of the first resistive state and the second resistive state, a variable resistance element in each memory cell being connected between a third bit line and a fourth bit line; and
a sense amplifier connected between the first and second memory arrays and configured to read data from the second memory array using a reference current supplied from the first memory array, wherein
the first memory array includes first through fourth dummy memory cells which each include a variable resistance element configurable to have one of the first resistive state and the second resistive state,
the first dummy memory cell has a variable resistance element that is configurable to have the first resistive state and is connected between the first bit line and a fifth bit line having a fixed potential,
the second dummy memory cell has a variable resistance element that is configurable to have the second resistive state and is connected between the first bit line and the fifth bit line,
the third dummy memory cell has a variable resistance element that is configurable to have the second resistive state and is connected between the first bit line and the second bit line,
the fourth dummy memory cell has a variable resistance element that is configurable to have the first resistive state and is connected between the first bit line and the second bit line and to the fifth bit line through the first and second dummy memory cells; and
a middle admittance of the first memory array is equal to the sum of a first resistance value for a variable resistance element in the first resistive state and a second resistance value for a variable resistance element in the second resistive state divided by the product of twice the first resistance value and the second resistance value, wherein
the first resistance value is a resistance value of a variable resistance element storing first data, and the second resistance value is a resistance value of a variable resistance element storing second data.
2. The device of
3. The device of
a first bit line, a second bit line, and a third bit line;
a first current path comprising a first resistance element connected between the first bit line and the second bit line, and a second resistance element connected between the second bit line and the third bit line; and
a second current path comprising a third resistance element connected between the first bit line and the second bit line, and a fourth resistance element connected between the second bit line and the third bit line,
the first resistance element and the second resistance element have the same resistance value as a resistance value of the variable resistance element storing the first data, and
the third resistance element and the fourth resistance element have the same resistance value as a resistance value of the variable resistance element storing the second data.
4. The device of
the first bit line is connected to the second input terminal of the sense amplifier, and
the third bit line is grounded.
5. The device of
6. The device of
the first resistance element and the second resistance element are configured to supply a current in a direction to write the first data in a read operation, and
the third resistance element and the fourth resistance element are configured to supply a current in a direction to write the second data in the read operation.
7. The device of
a first selection transistor connected to a first terminal of the first resistance element;
a second selection transistor connected to a first terminal of the second resistance element;
a third selection transistor connected to a first terminal of the third resistance element;
a fourth selection transistor connected to a first terminal of the fourth resistance element;
a first dummy word line connected to a gate of the first selection transistor;
a second dummy word line connected to a gate of the second selection transistor;
a third dummy word line connected to a gate of the third selection transistor; and
a fourth dummy word line connected to a gate of the fourth selection transistor.
8. The device of
9. The device of
first and second selection transistors connected to a first terminal of the first resistance element;
third and fourth selection transistors connected to a first terminal of the second resistance element;
fifth and sixth selection transistors connected to a first terminal of the third resistance element;
seventh and eighth selection transistors connected to a first terminal of the fourth resistance element;
first and second dummy word lines connected to gates of the first and second selection transistors, respectively;
third and fourth dummy word lines connected to gates of the third and fourth selection transistors, respectively;
fifth and sixth dummy word lines connected to gates of the fifth and sixth selection transistors, respectively; and
seventh and eighth dummy word lines connected to gates of the seventh and eighth selection transistors, respectively.
10. The device of
11. The device of
a selection transistor connected to a first terminal of the variable resistance element; and
a word line connected to a gate of the selection transistor.
12. The device of
first and second selection transistors connected to a first terminal of the variable resistance element; and
first and second word lines connected to gates of the first and second selection transistors, respectively.
13. The device of
0. 15. The semiconductor memory device according to claim 14, wherein the reference current is between a read current of a memory cell having a variable resistance element with the first resistive state and a read current of a memory cell having a variable resistance element with the second resistive state.
0. 16. The semiconductor memory device according to claim 15, wherein each variable resistance element is a magnetic tunnel junction element.
0. 17. The semiconductor memory device according to claim 15, wherein each variable resistance element includes a phase-change material.
0. 18. The semiconductor memory device according to claim 15, wherein each variable resistance element includes a recording layer made of a perovskite metal oxide or a transition metal oxide.
0. 20. The reference current generator according to claim 19, wherein each variable resistance element is a magnetic tunnel junction element.
0. 21. The reference current generator according to claim 19, wherein each variable resistance element includes a phase-change material.
0. 22. The reference current generator according to claim 19, wherein each variable resistance element includes a recording layer made of a perovskite metal oxide or a transition metal oxide.
0. 23. The reference current generator according to claim 19, wherein a reference current supplied by the reference current generator is between a read current of a memory cell having a variable resistance element with the first resistive state and a read current of a memory cell having a variable resistance element with the second resistive state.
0. 24. The semiconductor memory device according to claim 14, wherein the sense amplifier is physically disposed between the first memory array and the second memory array.
0. 25. The semiconductor memory device according to claim 24, wherein each variable resistance element is a magnetic tunnel junction element.
0. 26. The semiconductor memory device according to claim 24, wherein each variable resistance element includes a phase-change material.
0. 27. The semiconductor memory device according to claim 24, wherein each variable resistance element includes a recording layer made of a perovskite metal oxide or a transition metal oxide.
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This application is based upon and claims the benefit of priority from Japanese Patent Application No. 2009-145469, filed Jun. 18, 2009; the entire contents of which are incorporated herein by reference.
Embodiments described herein relate generally to a semiconductor memory device.
Recently, a semiconductor memory such as a magnetic random access memory (MRAM) using a variable resistance element as a memory element is attracting attention and being developed. The MRAM uses, as a memory element, a magnetic tunnel junction (MTJ) element using the magnetoresistive effect by which the resistance value changes in accordance with the magnetization direction. In particular, a large resistance change is obtained by a tunneling magnetoresistive (TMR) element using the TMR effect.
The TMR element has a structure in which two ferromagnetic layers sandwich a nonmagnetic layer (insulating layer). While the magnetization direction in one ferromagnetic layer (pinned layer) is fixed, the magnetization direction in the other ferromagnetic layer (free layer) is not fixed; the magnetic direction in the free layer is parallel or antiparallel to that in the pinned layer. The TMR effect is a phenomenon in which the resistance of the TMR element changes depending on the relative relationship (parallel/antiparallel) between the two magnetization directions. More specifically, a current readily flows through the insulating layer (the resistance decreases) when the magnetization direction in the free layer is parallel to that in the pinned layer, and hardly flows (the resistance increases) when the former is antiparallel to the latter. A memory element from which data written in the TMR element can be read in accordance with the resistance can be formed by making the relative relationship between the two magnetization directions correspond to “0” or “1”.
The TMR element has a resistance value Rmin or Rmax (Rmax>Rmin) in accordance with whether the magnetization directions in the free layer and pinned layer are parallel or antiparallel. In a read operation of the MRAM, it is necessary to supply a read current or apply a read voltage to a memory cell as a read target, and read data by comparing the change in voltage or current corresponding to the resistance value of the TMR element with a reference signal. The reference signal is formed from an external circuit or from a reference cell in which data “0” or “1” is prewritten. However, the method of forming the reference signal from an external circuit has the problem that the method requires extra space and extra power consumption, and it is necessary to reproduce characteristics that follow the temperature characteristics of the TMR element.
Accordingly, even when reading data from the MRAM by using the reference signal, it is desirable to generate the reference signal by using the TMR element. As a method of generating this reference signal, a method using middle resistance Rmid=(Rmax+Rmin)/2 of the TMR element has been disclosed (Jpn. PCT National Publication No. 2005-501370). In this method, however, the reference current is not middle
I1=(1/Rmax)*Vb
where “*” is a multiplication sign.
Accordingly, by setting a reference current Iref
That is, an admittance Ymin of an MTJ element storing data “0” (an MTJ element having the resistance value Rmin) is 1/Rmin, and an admittance Ymax of an MTJ element storing data “1” (an MTJ element having the resistance value Rmax) is 1/Rmax. Therefore, the middle admittance Ymid described above is obtained by calculating Ymid=(Ymin+Ymax)/2.
The memory unit BLU includes a reference current generator 30 for generating a reference current to be used by the sense amplifier SA in a read operation. The reference current generator 30 includes four dummy cells DC0 to DC3. The dummy cells DC0 to DC3 form the middle admittance generator shown in
As shown in
An MTJ element (resistance element) 33 included in the dummy cell DC1 has one terminal connected to the bit line BLD, and the other terminal connected to one end of the current path of a selection transistor 34. The other end of the current path of the selection transistor 34 is connected to the bit line BLL, and the gate of the selection transistor 34 is connected to a dummy word line DWL1. The MTJ element 33 is set at the resistance value Rmax.
An MTJ element (resistance element) 35 included in the dummy cell DC2 has one terminal connected to the bit line BLL, and the other terminal connected to one end of the current path of a selection transistor 36. The other end of the current path of the selection transistor 36 is connected to the bit line BLR, and the gate of the selection transistor 36 is connected to a dummy word line DWL2. The MTJ element 35 is set at the resistance value Rmax.
An MTJ element (resistance element) 37 included in the dummy cell DC3 has one terminal connected to the bit line BLR, and the other terminal connected to one end of the current path of a selection transistor 38. The other end of the current path of the selection transistor 38 is connected to the bit line BLL, and the gate of the selection transistor 38 is connected to a dummy word line DWL3. The MTJ element 37 is set at the resistance value Rmin.
The dummy cells DC0 to DC3 having the connection relationships as described above form the middle admittance generator shown in
(Operation)
The operation of the MRAM configured as described above will be explained below. When a read process occurs for one of the memory cell arrays 11-1 and 11-2 in the MRAM of this embodiment, the other is used to generate the reference current Iref. The operation will be explained by taking the process of reading data from the memory unit BLU<0> included in the memory cell array 11-1 as an example.
First, the column decoder (not shown) turns on the column gate 13-1 connected to the bit line BLR0, thereby connecting the memory unit BLU<0> to the common line CL-1. The column gate 14-1 connected to the bit line BLL0 is turned off. Subsequently, a desired clamp voltage Vc is applied to the gate of the clamp transistor 17-1, and the clamp transistor 17-1 sets the bit line BLR0 at a desired read voltage Vb. In this state, the sense amplifier SA applies a power supply voltage VDD to the drain of the clamp transistor 17-1.
Also, the column decoder turns on the column gate 14-1 connected to the bit line BLL0, thereby connecting the memory unit BLU<0> to the common line bCL-1. The bit line BLL0 is grounded via the driver 16-1.
Finally, the row decoder 12-1 activates the word line WL connected to the memory cell MC as a read target. The series of operations described above supply a read current corresponding to the data to the memory cell MC as a read target.
On the other hand, a certain memory unit BLU, e.g., the memory unit BLU<4> included in the memory cell array 11-2 generates the reference current Iref. First, the column decoder (not shown) turns on the column gate 13-2 connected to the bit line BLR4, thereby connecting the memory unit BLU<4> to the common line CL-2. The column gate 14-2 connected to the bit line BLL4 is turned off. Subsequently, the desired clamp voltage Vc is applied to the gate of the clamp transistor 17-2, and the clamp transistor 17-2 sets the bit line BLR4 at the desired read voltage Vb. Then, the row decoder 12-2 activates all the dummy word lines DWL0 to DWL3 to turn on the selection transistors 32, 34, 36, and 38 included in the dummy cells DC0 to DC3.
The sense amplifier SA senses the data of the memory cell MC as a read target by comparing a read current flowing through the bit line BLR0 with the reference current Iref flowing through the bit line BLR4.
As described previously, the dummy cells DC0 to DC3 of this embodiment have the same structure as that of the memory cell MC, i.e., the dummy cells DC0 to DC3 have the structure shown in
In the reference current generator 30 of this embodiment, therefore, it is possible to prevent the magnetization arrangements in the MTJ elements 31, 33, 35, and 37 included in the dummy cells DC0 to DC3 from reversing owing to the influence of a read disturbance during a read operation.
Next, a write operation of the MRAM will be explained. The drivers 15-1 and 16-1 write data in the memory cell array 11-1. The drivers 15-2 and 16-2 write data in the memory cell array 11-2. The operation will be explained by taking the process of writing data in the memory unit BLU<0> included in the memory cell array 11-1 as an example.
First, the column decoder (not shown) turns on the column gate 13-1 connected to the bit line BLR0, thereby connecting the memory unit BLU<0> to the common line CL-1. Also, the column decoder (not shown) turns on the column gate 14-1 connected to the bit line BLL0, thereby connecting the memory unit BLU<0> to the common line bCL-1. The row decoder 12-1 activates the word line WL connected to the memory cell MC as a write target.
In this state, one of the terminals D_L and bD_L is set at a positive write voltage Vw and the other is set at the ground voltage VSS (0 V) in accordance with the data to be written. Consequently, the drivers 15-1 and 16-1 supply a write current to the memory cell MC as a write target, thereby executing the write operation.
(Effects)
In the first embodiment as has been described in detail above, each memory unit BLU has the reference current generator 30 for generating the reference current Iref to be used in the sense operation of the sense amplifier SA. The reference current generator 30 generates the reference current Iref middle at an amperage level in between the read current I0 of a memory cell storing data “0” and the read current I1 of a memory cell storing data “1”. To generate the reference current Iref meeting the condition, the reference current generator 30 is configured to have middle admittance Ymid=(Rmax+Rmin)/2Rmax*Rmin by using the resistance elements Rmax and Rmin.
In the first embodiment, therefore, the read margin can be increased for both the read currents I0 and I1. This makes it possible to reduce read errors of the MRAM.
Also, the MTJ element having the same structure as that of the memory cell MC is used as the resistance element forming the reference current generator 30. A “0” write current flows through the resistance element having the resistance value Rmin, i.e., the resistance element storing data “0”. A “1” write current flows through the resistance element having the resistance value Rmax, i.e., the resistance element storing data “1”.
In a read operation, therefore, it is possible to prevent the magnetization arrangements in the resistance elements forming the reference current generator 30 from reversing owing to the influence of a read disturbance. As a consequence, the reference current Iref having high accuracy and high stability can be generated.
Furthermore, all the memory units BLU each including the reference current generator 30 have the same configuration. This decreases the imbalance of the bit line capacitance between a bit line for the reference current Iref and a bit line for data read during a read operation. This makes it possible to reduce read errors.
(Second Embodiment)
In the second embodiment, an MRAM is formed by using a so-called double-gate type memory cell in which two selection transistors are connected to one MTJ element. In this double-gate type memory cell, the two selection transistors are used to supply a write current to one MTJ element, so a large write current can be supplied to the MTJ element. Note that the idea of generating a reference current Iref middle at an amperage level in between read currents I0 and I1 is the same as that of the first embodiment.
The memory unit BLU includes (N+1) memory cells MC. Each memory cell MC includes an MTJ element 21 as a variable resistance element, and two selection transistors 22-1 and 22-2. The arrangement of the MTJ element 21 is the same as that shown in
The memory unit BLU includes a reference current generator 30 for generating the reference current Iref to be used by a sense amplifier SA in a read operation. The reference current generator 30 includes four dummy cells DC0 to DC3. The dummy cells DC0 to DC3 form a middle admittance generator shown in
An MTJ element (resistance element) 31 included in the dummy cell DC0 has one terminal connected to the bit line BLD, and the other terminal connected to one end of the current path of each of selection transistors 32-1 and 32-2. The other end of the current path of each of the selection transistors 32-1 and 32-2 is connected to the bit line BLL, and the gates of the selection transistors 32-1 and 32-2 are connected to a pair of dummy word lines DWL0. The MTJ element 31 is set at a resistance value Rmax.
An MTJ element (resistance element) 33 included in the dummy cell DC1 has one terminal connected to the bit line BLL, and the other terminal connected to one end of the current path of each of selection transistors 34-1 and 34-2. The other end of the current path of each of the selection transistors 34-1 and 34-2 is connected to the bit line BLD, and the gates of the selection transistors 34-1 and 34-2 are connected to a pair of dummy word lines DWL1. The MTJ element 33 is set at a resistance value Rmin.
An MTJ element (resistance element) 35 included in the dummy cell DC2 has one terminal connected to the bit line BLR, and the other terminal connected to one end of the current path of each of selection transistors 36-1 and 36-2. The other end of the current path of each of the selection transistors 36-1 and 36-2 is connected to the bit line BLL, and the gates of the selection transistors 36-1 and 36-2 are connected to a pair of dummy word lines DWL2. The MTJ element 35 is set at the resistance value Rmin.
An MTJ element (resistance element) 37 included in the dummy cell DC3 has one terminal connected to the bit line BLL, and the other terminal connected to one end of the current path of each of selection transistors 38-1 and 38-2. The other end of the current path of each of the selection transistors 38-1 and 38-2 is connected to the bit line BLR, and the gates of the selection transistors 38-1 and 38-2 are connected to a pair of dummy word lines DWL3. The MTJ element 37 is set at the resistance value Rmax.
Since the dummy cells DC0 to DC3 form the middle admittance generator shown in
As described previously, the dummy cells DC0 to DC3 of this embodiment have the same structure as that of the memory cell MC, i.e., the dummy cells DC0 to DC3 have the structure shown in
In the reference current generator 30 of this embodiment, therefore, it is possible to prevent the magnetization arrangements in the MTJ elements 31, 33, 35, and 37 included in the dummy cells DC0 to DC3 from reversing owing to the influence of a read disturbance during a read operation.
In the second embodiment as has been described in detail above, the read margin can be increased for both the read currents I0 and I1. This makes it possible to reduce read errors. The rest of the effects are the same as those of the first embodiment.
As described earlier, various memories other than the MRAM can be used as the resistance-change memory. An ReRAM and PCRAM will be explained below as other examples of the resistance-change memory.
The recording layer 40 is made of a perovskite metal oxide, or a transition metal oxide such as a binary metal oxide. Examples of the perovskite metal oxide are PCMO (Pr0.7Ca0.3MnO3), Nb-added SrTi(Zr)O3, and Cr-added SrTi(Zr)O3. Examples of the binary metal oxide are NiO, TiO2, and Cu2O.
The resistance value of the variable resistance element 21 changes when the polarity of a voltage to be applied to the element is changed (a bipolar type), or when the absolute value of the voltage to be applied to the element is changed (a unipolar type). Accordingly, the variable resistance element 21 is set in the low-resistance state or high-resistance state by controlling the application voltage. Note that whether the variable resistance element 21 is a bipolar element or unipolar element depends on a material selected as the recording layer 40.
Assuming that the variable resistance element 21 is a bipolar element, that a voltage for changing the variable resistance element 21 from the high-resistance state (a reset state) to the low-resistance state (a set state) is a set voltage Vset, and that a voltage for changing the variable resistance element 21 from the low-resistance state (set state) to the high-resistance state (reset state) is Vreset, the set voltage Vset is set at a positive bias that applies a positive voltage to the upper electrode 27 with respect to the lower electrode 23, and the reset voltage Vreset is set at a negative bias that applies a negative voltage to the upper electrode 27 with respect to the lower electrode 23. The variable resistance element 21 can store 1-bit data by making the low-resistance state and high-resistance state correspond to data “0” and data “1”, respectively.
Data read is performed by applying a very low read voltage about 1/1000 to ¼ the reset voltage Vreset. Data can be read by detecting a current flowing through the variable resistance element 21 in this state.
The recording layer 42 is made of a phase-change material, and set in a crystalline state or amorphous state by heat generated during a write operation. Examples of the material of the recording layer 42 are chalcogen compounds such as Ge—Sb—Te, In—Sb—Te, Ag—In—Sb—Te, and Ge—Sn—Te. These materials are desirable to ensure high-speed switching characteristics, high repetitive recording stability, and high reliability.
The heater layer 41 is in contact with the bottom surface of the recording layer 42. The area by which the heater layer 41 is in contact with the recording layer 42 is desirably smaller than the area of the bottom surface of the recording layer 42, in order to decrease a portion to be heated by decreasing the contact portion between the heater layer 41 and recording layer 42, thereby reducing a write current or voltage. The heater layer 41 is made of a conductive material, and desirably made of a material selected from, e.g., TiN, TiAlN, TiBN, TiSiN, TaN, TaAlN, TaBN, TaSiN, WN, WAlN, WBN, WSiN, ZrN, ZrAlN, ZrBN, ZrSiN, MoN, Al, Al—Cu, Al—Cu—Si, WSi, Ti, Ti—W, and Cu. The heater layer 41 may also be made of the same material as that of the lower electrode 23 described below.
The area of the lower electrode 23 is larger than that of the heater layer 41. The upper electrode 27 is, e.g., the same as the planar shape of the recording layer 42. Examples of the material of the lower electrode 23 and upper electrode 27 are refractory metals such as Ta, Mo, and W.
When the magnitude and width of a current pulse to be applied to the recording layer 42 are controlled, the heating temperature of the recording layer 42 changes, and the recording layer 42 changes to the crystalline state or amorphous state. More specifically, when writing data, a voltage or current is applied between the lower electrode 23 and upper electrode 27 to supply a current from the upper electrode 27 to the lower electrode 23 via the recording layer 42 and heater layer 41. When the recording layer 42 is heated to nearly the melting point, the recording layer 42 changes to an amorphous phase (high-resistance phase), and maintains the amorphous state even when the application of the voltage or current is stopped.
On the other hand, when the recording layer 42 is heated to nearly a temperature suited for its crystallization by applying a voltage or current between the lower electrode 23 and upper electrode 27, the recording layer 42 changes to a crystalline phase (low-resistance phase), and maintains the crystalline state even when the application of the voltage or current is stopped. To change the recording layer 42 to the crystalline state, the magnitude of a current pulse to be applied to the recording layer 42 is decreased, and the width of the current pulse is increased, compared to those of a current pulse applied when changing the recording layer 42 to the amorphous state. The resistance value of the recording layer 42 can be changed by thus heating the recording layer 42 by applying a voltage or current between the lower electrode 23 and upper electrode 27.
Whether the recording layer 42 is the crystalline phase or amorphous phase can be discriminated by applying, between the lower electrode 23 and upper electrode 27, a low voltage or low current by which the recording layer 42 neither crystallizes nor amorphousizes, and reading the voltage or current between the lower electrode 23 and upper electrode 27. This makes it possible to read 1-bit data from the variable resistance element 21 by making the low-resistance state and high-resistance state correspond to data “0” and data “1”, respectively.
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 methods and systems described herein may be embodied in a variety of other forms; furthermore, various omissions, substitutions and changes in the form of the methods and systems 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 inventions.
Fujita, Katsuyuki, Tsuchida, Kenji
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