This application is based upon and claims the benefit of priority from prior Japanese Patent Application No. 2011-201867 filed on Sep. 15, 2011 in Japan, the entire contents of which are incorporated herein by reference.
Embodiments described herein relate generally to a memory including transistors with double floating gate structures.
SRAM (Static Random Access Memory) is one of high-speed volatile memories, and is often used in large-scale integrated circuits for today's computers. Each one SRAM is basically formed with six transistors, and can perform higher-speed operations with smaller areas in association with miniaturization of transistors. However, miniaturization of transistors is becoming more and more difficult today. As a result, noise margins are becoming smaller due to device-to-device variations of transistors, and operations are becoming unstable.
To counter this problem, there have been SRAMs in which gate oxide films are replaced with films made of another material, the polarity of the material varies with the magnitude of the gate voltage so that the threshold voltage of transistors varies. In such a SRAM, ferroelectric field effect transistors (hereinafter also referred to as FeFETs) are used as the six transistors, to successfully increase the threshold voltage of each transistor and widen the noise margin of the SRAM by 60% or more. Characteristically, the substrates of the NMOS transistors and the PMOS transistors are connected to a source voltage VDD and a ground voltage VSS, respectively, though it is the other way around in conventional cases. Through the connections, the polarization in the ferroelectric material can have the opposite charge configuration of that of the gate voltage. This is the principal reason for the higher threshold voltages.
In a SRAM including the above described FeFETs, a material that is not used in conventional CMOS manufacturing processes is used as the ferroelectric material. Examples of ferroelectric materials that can be used for the FeFETs include lead zirconate titanate (hereinafter also referred to as PZT), strontium bismuth tantalate (hereinafter also referred to as SBT), and bismuth lanthanum titanate (hereinafter also referred to as BLT). Expressed as Pb(Zr, Ti)O3, PZT contains harmful lead (Pb), and therefore, cannot comply with environmental regulations. Also, SBT is expressed as SrBi2Ta2O9, and needs to be crystallized at a high temperature of 700° C. or higher to achieve ferroelectricity. It is difficult to grow a thin film in an a-axis direction having spontaneous polarization. Furthermore, the residual polarization is 25 μC/cm2, which is relatively small. BLT is expressed as (Bi, Ln)4Ti3O12, and it is difficult to crystallize BLT by controlling orientations. It should be noted that Ln represents La, Nd, Pr, or the like. Therefore, it is difficult to use ferroelectric materials in today's industries, due to small residual polarization and high coercive fields or the like.
a) through 2(d) are diagrams for explaining the relationships between the voltages applied to the control gates of transistors having double floating gate structures and the charges stored in the second floating gates;
a) and 8(b) are diagrams showing point-symmetric and axisymmetric arrangement models used in respective simulations;
a) and 9(b) are diagrams showing the basic relationships between the gate and substrate voltages of the transistors in an axisymmetric arrangement and data stored in a SRAM cell;
a) and 10(b) are diagrams each showing the gate voltages and the substrate voltages of the respective transistors in a point-symmetric arrangement;
a) and 12(b) are graphs showing variations in charges stored in the respective floating gates in the SRAM cell of the point-symmetric arrangement type;
a) and 13(b) are diagrams each showing the gate voltages and the substrate voltages of the respective transistors in an axisymmetric arrangement;
a) and 15(b) are graphs showing variations in charges stored in the respective floating gates in the SRAM cell of the axisymmetric arrangement type;
a) and 18(b) are diagrams for explaining the SNM as the noise margin index for SRAMs;
A memory according to an embodiment includes: at least one SRAM cell including: a first inverter including a first P-channel transistor and a first N-channel transistor; a second inverter including a second P-channel transistor and a second N-channel transistor, the second inverter being cross-coupled to the first inverter; a third N-channel transistor including source/drain and a gate, one of the source/drain of the third N-channel transistor being connected to an output node of the first inverter, the other one of the source/drain being connected to a first interconnect, the gate of the third N-channel transistor being connected to a second interconnect; and a fourth N-channel transistor including source/drain and a gate, one of the source/drain of the fourth N-channel transistor being connected to an output node of the second inverter, the other one of the source/drain being connected to a third interconnect, the gate of the fourth N-channel transistor being connected to the second interconnect, each of the first and second P-channel transistors being formed on a first semiconductor region and including: a first insulating film formed on the first semiconductor region; a first floating gate formed on the first insulating film; a second insulating film formed on the first floating gate; a second floating gate formed on the second insulating film; a third insulating film formed on the second floating gate; and a first control gate formed on the third insulating film, each of the first and second N-channel transistors being formed on a second semiconductor region and including: a fourth insulating film formed on the second semiconductor region; a third floating gate formed on the fourth insulating film; a fifth insulating film formed on the third floating gate; a fourth floating gate formed on the fifth insulating film; a sixth insulating film formed on the fourth floating gate; and a second control gate formed on the sixth insulating film.
The following is a description of embodiments, with reference to the accompanying drawings.
Referring to
As described above, a transistor having a double floating gate structure is a semiconductor element having the two floating gates 10 and 14 that are charge storage layers made of polysilicon or the like and sandwich the second insulating film 12. Cells of NAND flash memories that are widely used in today's society are elements each having a one-layer floating gate that is a charge storage layer. It is known that, in a transistor having a double floating gate structure, the double gloating gate structure behaves as an artificial dipole (as disclosed by T. Tanamoto and K. Muraoka in Appl. Phys. Lett. 96, 022105 (2010), for example). In a double floating gate structure, the opposite charges from the voltage applied to the control gate 18 tend to gather in the second floating gate 14, which is located close to the control gate 18. For example, as shown in
In transistors having double floating gate structures as in this embodiment, the double floating gate structures function in place of the dipoles in the dielectric materials of FeFETs. Where double floating gate structures are used, there is no need to use a ferroelectric material such as SrBi2Ta2O9, and a conventional mask for forming a gate can be used to form a floating gate.
In this specification, the transistor 1 having such a double floating gate structure is expressed as shown in
Meanwhile, the N-channel transistors 1N3 and 1N4 serve as access transistors. Specifically, the transistor 1N3 has one of the source/drain connected to the output terminal of the first inverter, has the other one of the source/drain connected to a first bit line BL, and has a gate connected to a word line WL. The transistor 1N4 has one of the source/drain connected to the output terminal of the second inverter, has the other one of the source/drain connected to a second bit line/BL, and has a gate connected to the word line WL.
The P-channel transistors 1P1 and 1P2 are connected to a ground voltage VSS as a substrate bias, and the N-channel transistors 1N1, 1N2, 1N3, and 1N4 are connected to a source voltage VDD as a substrate bias.
The SRAM of this embodiment having the above described structure is capable of performing the same writing and reading operations as those performed by a SRAM formed with six transistors.
As in a modification of this embodiment shown in
In the above description, each SRAM is formed with six transistors in this embodiment and the modification thereof. However, each SRAM can be formed with more than six transistors, to stabilize operations of each SRAM.
Next, the results of more detailed studies made by the inventors on the SRAM of this embodiment are described.
Of the six transistors arranged in the SRAM, two transistors 1N3 and 1N4 serve as access transistors, and the other four transistors 1P1, 1P2, 1N1, and 1N2 are cross-coupled. As for the arrangement of the four transistors 1P1, 1P2, 1N1, and 1N2 cross-coupled in the SRAM, the four transistors 1P1, 1P2, 1N1, and 1N2 can be arranged symmetrically about the center point of the SRAM. This is a point-symmetric arrangement. The four transistors 1P1, 1P2, 1N1, and 1N2 can be arranged symmetrically about the center line of the SRAM cell. This is an axisymmetric arrangement. Specifically, in the point-symmetric arrangement, the transistor 1P1 and the transistor 1N1 are arranged symmetrically about the center point of the SRAM cell, and the transistor 1P2 and the transistor 1N2 are arranged symmetrically about the center point of the SRAM cell. In the axisymmetric arrangement, the transistor 1P1 and the transistor 1N1 are arranged symmetrically about the center line of the SRAM cell, and the transistor 1P2 and the transistor 1N2 are arranged symmetrically about the center line of the SRAM cell.
In the following, an operation to automatically optimize the threshold voltage at which a transistor is turned on with a double floating gate structure is described through simulations based on basic models. The models and calculation methods used here are compliant with those used by T. Tanamoto and K. Muraoka in Appl. Phys. Lett. 96, 022105 (2010).
First, the relationships between the charges and the potentials in respective floating gates are determined using a capacitance network model. As shown in each of
Q
NA
=C
NAWA(VNA−VWA)+CNAEA(VNA−VEA)+CNAWg(VNA−VWg)+CNAEg(VNA−VEg)+CNAWB(VNA−VWB)+CNAEB(VNA−VEB)+CNANB(VNA−VNB)+CNANg(VNA−VNg)+CNASA(VNA−VSA) (1)
Here, CNAWA represents the capacitance between the floating gate NA and the floating gate WA, for example, CNAWg represents the capacitance between the floating gate NA and the gate in the direction W, for example, and VNg, VWg, VSg, and VEg represent the gate voltages of the transistors in the respective directions. Likewise, the charges QNB of the first floating gate NB of the transistor located in the direction N are expressed by the following equation (2):
Q
NB
=C
NBWB(VNB−VWB)+CNBEB(VNB−VEB)+CNBWsub(VNB−VWsub)+CNBEsub(VNB−VEsub)+CNBWA(VNB−VWA)+CNBEA(VNA−VEA)+CNBNA(VNB−VNA)+CNBNsub(VNB−VNsub)+CNBSB(VNB−VSB) (2)
Here, VNsub, VWsub, VSsub, and VEsub represent the substrate potentials in the respective directions. As for (QWA, VWA), (QWB, VWB), (QSA, VSA), and (QEB, VEB), the same equation as above is satisfied. Where Si and di represent the area and distance between floating gates, and ∈ represents the permittivity of the tunnel film between the floating gates, each capacitance is expressed by the following equation (3) using a parallel-plate capacitance formula:
C
i
=∈S
i
/d
i (3)
Where the current flowing between the first and second floating gates is represented by a function of an electric field E, the current density J(E) is calculated by a known method (as disclosed by K. F. Schuegraf and C. Hu, in IEEE Trans. Electron Device 41, 761 (1994), for example). The current density J(E) is expressed by the following equation (4):
J(E)=AE2 exp {−B[1−(1−Edox/Φb)3/2]/E}
A=e
3
m
Si/(8πhmoxΦb)
B=4√2moxΦb3/2/(3he/(2π)) (4)
Here, e represents the elementary charge amount, mSi represents the effective mass of silicon (mSi=0.19), mox represents the effective mass of the second insulating film 12 (mox=0.5), ∈Si represents the permittivity of silicon (∈Si=11.7), ∈ox represents the permittivity of the second insulating film 12 made of silicon oxide (∈ox=3.9), and dox represents the thickness of the second insulating film 12. Meanwhile, Φb represents the height of the barrier of the second insulating film 12 made of silicon oxide, and the value of the height is 2.9 [eV]. Further, h represents the Planck's constant. In the above simulation, the threshold value is defined as a voltage such that the potential difference between the substrate (the semiconductor region 2) and the first floating gate 10 becomes zero with respect to the charge configuration at each time.
a) and 9(b) show the distributions of the gate voltage and the substrate voltage in this embodiment.
a) and 10(b) show the gate biases and the substrate biases of transistors forming a latch unit in cases where “1” data and “0” data are stored in a SRAM of a point-symmetric arrangement type.
a) and 13(b) show the gate biases and the substrate biases of transistors forming a latch unit in cases where “1” data and “0” data are stored in a SRAM of an axisymmetric arrangement type.
Referring now to
As can be seen from
The following values were used as the parameters in the above described simulations. In both the point-symmetric arrangement and the axisymmetric arrangement, the applied voltage VDD was 0.5 V. In the point-symmetric arrangement, the width of each of the first and second floating gates was 15 nm, the distances between the first and second floating gates and the first and second floating gates of each two adjacent transistors were 15 nm, the height of each of the first and floating gates was 25 nm, the thickness of the first insulating film between the semiconductor substrate and the first floating gate was 1 nm, the thickness of the second insulating film between the first and second floating gates was 1 nm, and the film thickness of the interelectrode insulating film between the second floating gate and the control gate was 1 nm. In the axisymmetric arrangement, the width of each of the first and second floating gates was 30 nm, the distances between the first and second floating gates and the first and second floating gates of each two adjacent transistors were 30 nm, the height of each of the first and floating gates was 50 nm, the thickness of the first insulating film between the semiconductor substrate and the first floating gate was 1 nm, the thickness of the second insulating film between the first and second floating gates was 1 nm, and the film thickness of the interelectrode insulating film between the second floating gate and the control gate was 1.2 nm.
When those parameters are changed, the calculation results also change, but the changes can be predicted. For example, when the voltage is increased, the switching rate between the “0” data and the “1” data becomes higher. When the thickness of the tunneling film between the floating gates is increased, the switching rate gradually becomes lower. When the distance between each two memory cells is made longer, the interference between the cells becomes smaller, and the threshold voltage variations gradually become smaller. As described above, by using double floating gate structures, threshold voltage shifts can be achieved so that the butterfly-curves become wider in the voltage conditions shown in
Also, by using double floating gate structures, the EOT (Equivalent Oxide Thickness) becomes greater than that of a single transistor. According to the above described calculation, the EOT is equivalent to a gate insulating film of 3.2 nm (1 nm+1 nm+1.2 nm). To reduce the EOT and perform a faster switching operation, a so-called high-k material with a lower tunnel barrier than that of SiO2 can be used for insulating films in double floating gate structures. If a high-k material is used between memory cells, the capacitance between the memory cells increases, and more charges are stored between the memory cells. As a result, the switching operation becomes slower. Therefore, a high-k material is preferably used for the insulating film between the first and second floating gate.
Where double floating gate structures are used, the essential point is the interference effect between the double floating gate structures. In this embodiment, the interference effect between double floating gate structures is in the form of the capacitance between floating gates, as shown in
Where the height of each floating gate is large or where cells are located too close to each other, the interaction between floating gates in the horizontal directions becomes stronger than the bond between the floating gates in the vertical direction in each one cell. In that case, the noise resistance of the SRAM becomes lower, and the threshold voltage shifts are disturbed.
α<0.1 (5)
Where dD represents the distance between the two floating gates in a cell, and dB represents the distance between two floating gates of two cells, CD is proportional to 1/dD, and CB∝ is proportional to 1/dB. Accordingly, the relationship (5) means:
d
B<0.1×dD
Since the tunneling probability of electrons between floating gates is expressed by an exponent function of the thickness between the floating gates, the relationship (5) can also be expressed with tunneling probabilities:
exp(−10 dB)=[exp(−dB)]10>exp(−dD)
In other words, the relationship (5) compensates for the fact that the tunneling probability of electrons between cells is ten or more times lower than the tunneling probability within a cell.
As described so far, according to this embodiment, by using double floating gate structures including silicon oxide films or high-permittivity films, dipole moments can be artificially generated to control the threshold voltage, and the noise characteristics of a SRAM can be improved. All the double floating gate structures used in this embodiment can be formed with materials that are used in CMOS manufacturing processes. Accordingly, no major changes in the manufacturing apparatus are required, and artificial-dipole SRAMs with a high degree of freedom in design can be provided.
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 can be embodied in a variety of other forms; furthermore, various omissions, substitutions and changes in the form of the methods and systems described herein can 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.
Number | Date | Country | Kind |
---|---|---|---|
2011-201867 | Sep 2011 | JP | national |