This application is based upon and claims the benefit of priority from the prior Japanese Patent Application NO. 2008-950 filed on Jan. 8, 2008, the entire contents of which are incorporated herein by reference.
1. Field of the Invention
The present invention relates to an exposure data preparation method and an exposure method. In particular, it relates to an exposure data preparation method for preparing exposure data to be used in a charged particle beam exposure technology using an electron beam or an ion beam in a lithography procedure and an exposure method using the exposure data.
2. Description of the Related Art
In electron beam exposure for delineating a pattern by irradiating an electron beam on a resist applied on a substrate, not only forward scattering where some incident electrons scatter in the resist but also backscattering where some electrons passing through the resist are reflected from the substrate and re-enter the resist occurs. Accordingly, even when an incident electron beam is directed onto one point on the resist, scattering of the beam produces proximity effects and energy deposited on the resist is widely distributed, which varies the size of the resultant resist pattern depending on the density of the pattern. The Exposure Intensity Distribution (EID), when the incident electron beam is directed onto one point (x, y) on the resist applied on the substrate constituted by one material, is generally approximated by a function shown as Formula (1) below, in which a forward scattering element and a backscattering element are expressed as a Gaussian distribution.
Wherein, βf is a forward scattering length, βb is a backscattering length and η is a backscattering intensity ratio. The values of the forward scattering length βf, the backscattering length βb and the backscattering intensity ratio η depend on electron beam energy, membrane thickness of the resist, the substrate material and so on, and are determined by experiment or simulation. For example, if the membrane thickness of the resist is 0.3 μm and the accelerating voltage of the electron beam is 50 kV, βf=28 nm, βb=11.43 μm and η=0.67. Generally, the forward scattering length βf is a value not limited to pure forward scattering, but includes components such as blurring of the electron beam due to aberration etc. (so-called beam blur) and acid diffusion.
In an existing proximity effect correction method, a pattern shape correction to reduce the linewidth for improvement of exposure margin and dose correction to correct the dose of the pattern in order to obtain a target linewidth at a threshold value Eth of the deposited energy are executed. This kind of proximity effect correction method has been proposed, for example, in Japanese Laid-Open Patent Publication No. 2001-52999 or Japanese Laid-Open Patent Publication No. 11-26360.
According to an aspect of the embodiments discussed herein, a method for preparing exposure data for charged particle beam exposure in which an exposure object is exposed while dose is adjusted for a pattern, the method including: classifying the pattern in terms of a target linewidth; setting a standard characteristic showing the relationship between a standard dose and a resultant linewidth of a resist pattern for a group of patterns having the target linewidth; and preparing exposure data by correcting a shape and dose so that a characteristic showing the relationship between the dose of each pattern having the target linewidth and a resultant linewidth of a resist pattern follows the standard characteristic.
The object and advents of the embodiments will be realized and attained by means of the elements and combinations particularly pointed out in the claims.
It is to be understood that both the foregoing general description and the following detailed description and are exemplary and explanatory and are not restrictive of the embodiments, as claimed.
In addition, in a lithography procedure used in fabricating a semiconductor device, configurations such as a metal wiring and a via hole are already formed under the resist, and a substrate is constituted by a plurality of materials. Since the parameter of the backscattering element in the above Formula (1) varies depending on materials constituting the substrate, this simple formula makes it impossible to approximate the deposited energy distribution of the resist.
As a solution to the above problems, a method for obtaining a backscattering element of the deposited energy distribution considering a complicated multi-layer wiring structure has been proposed in Japanese Laid-Open Patent Publication No. 2005-101501 for example. By using a backscattering element calculated by this proposed method and a forward scattering element calculated by the first term of the Formula (1), a proximity effect due to a multi-layer wiring structure, that is, an interlayer proximity effect can be corrected even by using the existing proximity effect correction method.
Recently, in accordance with an improvement in the degree of integration of semiconductor devices, a finer pattern size has been required, and there has been a problem of fluctuation of a resultant linewidth of a resist pattern due to process fluctuation such as dose fluctuation and defocusing in a lithography process. Further, since an interlayer proximity effect cannot be ignored in electron beam exposure, linewidth fluctuation of a metal pattern constituting the multi-layer wiring, membrane thickness fluctuation of Chemical Mechanical Polishing (CMP) and so on become causes of the fluctuation of a resultant linewidth of a resist pattern. In this way, the causes of the fluctuation of a resultant linewidth of a resist pattern include not only known process fluctuation, but also unknown process fluctuation, for example, process fluctuation which has yet to be modeled or whose model is too complex to be evaluated.
Next, an effect of the process fluctuation with regard to the existing proximity effect correction method will be explained. When dose of a pattern including elements is uniformly multiplied by a constant, the resultant linewidth of each element from an isolated pattern element to closely arranged elements fluctuates as shown in
According to the present invention, paying attention to the fact that an exposure apparatus easily multiplies dose uniformly by a constant, fluctuation of a resultant linewidth between the patterns is reduced per dose before and after dose correction with respect to known process fluctuation in a group of patterns having the same target linewidth. In other words, exposure data is prepared so that the characteristic showing the relationship between the dose and the resultant linewidth of the resist pattern, that is, CD-DOSE curves are aligned with each other, and exposure is executed by adjusting the dose to reduce linewidth deviation with respect to unknown process fluctuation. The reason the patterns are classified in terms of the target linewidth is because there are differences of the acceptable amount of linewidth fluctuation and differences of the required dimensional accuracy and the like. By allowing the CD-DOSE curves to be aligned with each other, the CD-DOSE curves change in a similar manner with respect to process fluctuation, which reduces linewidth fluctuation between the patterns in a wide range of dose. Moreover, a uniform adjustment of the dose reduces the deviation from the target linewidth.
As described above, linewidth fluctuation between the patterns can be reduced with respect to various kinds of process fluctuation including unknown fluctuation.
Hereinafter, an embodiment of an exposure data preparation method and an exposure method according to the present invention will be explained with reference to FIGS. 4 to 9.
The exposure data preparation method and the exposure method in the embodiment according to the present invention are useful in the fabrication of semiconductor devices.
[Exposure Data Preparation Steps]
Processing of steps S1 to S10 shown in
Referring to
Next, at a step S2 all the divided patterns B11 to B18 are classified in terms of linewidth W in a direction excluding a direction of a cutting surface, and at a step S3 a CD-DOSE curve which is a standard of a group of patterns having the linewidth W is determined (hereinafter, it is referred to as a standard CD-DOSE curve). The standard CD-DOSE curve is selected so that the dimensional change with respect to the change of the dose becomes minimum in a feasible range for all the patterns of the group of patterns. More specifically, in the group of patterns, a pattern whose dimensional change is the largest with respect to the change of the dose is selected as a representative pattern. This representative pattern is, for example, a pattern whose peripheral patterns have the largest area density, or a pattern whose irradiation area is the largest. Then, the shape of the representative pattern is modified so that the dimensional change becomes minimum with respect to the change of the dose, and the configuration of the resultant CD-DOSE curve corresponds to the standard CD-DOSE curve. Here, for the sake of convenience, an example of the change in the shape of the representative pattern is expressed as a lines-and-spaces (L/S) pattern having a linewidth W and a pitch P. The deposited energy distribution of the resist at the center of this L/S pattern is obtained by the surface integral of the Formula (1) with respect to the L/S pattern. When the width of the deposited energy distribution is equal to W at a threshold value Eth of the deposited energy if the modified linewidth is W′ and the corrected dose is Q, the relation expressed in the Formula (2) below is established.
{ε(W′,W,βt)+αη}Q=Eth (2)
Wherein, ε(W′, W, βf) is a forward scattering element of the deposited energy distribution, and α is the area density after the linewidth modification. These are expressed in Formula (3) below.
The linewidth W′ is a value in which the dimensional change becomes minimum with respect to the change in the dose. In order to determining the linewidth W′, the deviations ΔW1 and ΔW2 from the target linewidth W when the corrected dose Q is multiplied by γ1 and γ2 times (γ1<1<γ2) are obtained from Formula (4) below and the above Formula (2), and the linewidth W′ is determined so that the sum of the squared ΔW1 and ΔW2 becomes minimum.
{ε(W′,W+ΔW1,β1)+αη}γ1Q=Eth
{ε(W′,W+ΔW2,βf)+αη}γ2Q=Eth (4)
When the above Formula (2) is substituted for the Formula (4), Formula (5) which does not depend on the corrected dose can be obtained.
{ε(W′,W+ΔW1,βf)+αη}γ1=ε(W′,W,βf)+αη
{ε(W′,W+ΔW2,βf)+αη}γ2=ε(W′,W,βf)+αη (5)
In addition, when the shape of the representative pattern is modified, it is desired that the dimensional change with respect to the change of the dose including one or more known process fluctuations becomes minimum. For example, a case where fluctuation of the beam blur is considered will be explained. Since the beam blur is included in βf in the above Formula (1), the range in which βf moves due to the fluctuation of the beam blur is expressed as βf1≦βf≦βf2. Assuming that γo is 1 and a standard of βf is βfo, the deviation delta ΔWi, j from the target linewidth W at a combination of γ and βf (γ1, βfj) (i=0, 1, 2; j=0, 1, 2) is obtained from the following Formula (6) which is a substitute for the above Formula (5).
{ε(W′,W+ΔWi,j,βf)+αη}γ1=ε(W′,W,βf)+αη (6)
Moreover, a weighting coefficient ci, j (0≦ci, j≦1, co, o=0) indicating priority is assigned for each combination of γ and βf, and the linewidth W′ where the value X2 of the following Formula (7) becomes minimum is obtained.
In this way, the standard CD-DOSE curve can be expressed as a combination of (γ, W+ΔW) that satisfies the following Formula (8).
{ε(W′,W+ΔW,βf)+αη}γ=ε(W′,W,βf)+αη (8)
Next, in steps S4 to S7, the shape of the pattern is changed so that a CD-DOSE curve where the deviation from the standard CD-DOSE curve is minimum is obtained for each pattern of the group of patterns classified in terms of linewidth. Moreover, in steps S8 to 510, dose is corrected for each pattern to obtain a target linewidth considering the peripheral patterns, and exposure data for an electron beam 13 is stored in the memory.
In a step S4, the corrected linewidth W′ where the difference between the CD-DOSE curve of each pattern and the standard CD-DOSE curve becomes minimum is calculated. In a step S5, it is judged whether or not the corrected linewidth W′ is larger than the target linewidth W, and when the result is YES, the flow goes to a step S6, and when the result is NO, the flow goes to a step S7. In the step S6, the linewidth becomes thicker by W-W′. On the other hand, in the step S7 the linewidth becomes thinner by W-W′. The procedures in the steps S4 to S7 are executed a number of times corresponding to the number of patterns by loop handling. Moreover, the procedures in the steps S3 to S7 are executed a number of times corresponding to the number of kinds of linewidth by loop handling.
In a step S8, the corrected dose Q of each pattern is initialized. In a step S9, the corrected dose Q is corrected to Q′ in order to obtain the target dimension (the target linewidth W) for the purpose of obtaining the backscattering intensity from the peripheral patterns for each pattern. In a step S10, it is judged whether |Q′−Q|<ε, and when the result is NO, the flow returns to the step S9, and when the result is YES, the corrected dose Q is corrected to Q′, and the exposure data for an electron beam 13 is stored in the memory. Since the backscattering intensity changes when the corrected dose Q is corrected to Q′, the procedures of the steps S9 and S10 are repeated for all the patterns until the difference between the former corrected dose Q and the current corrected dose Q′ becomes sufficiently small, that is, below the threshold value ε. Additionally, the calculation of the backscattering intensity can be executed by using a method proposed, for example, in Japanese Laid-Open Patent Publication No. 2001-52999 or Japanese Laid-Open Patent Publication No. 2005-101501, and thus the explanation thereof is omitted.
Here, a case where the deviation between two CD-DOSE curves becomes minimum in the procedure in the step 34 is determined as a case where the sum of the squared values of the difference between the resultant linewidths becomes minimum with respect to the dose selected nearby the corrected dose Q (in
{ε(Wk′,W+ΔWk,1,βf)+αkη}γ1=ε(Wk′,W,βf)+αkη
{ε(Wk′,W+ΔWk,2,βf)+αkη}γ2=ε(Wk′,W,βf)+αkη (9)
Wherein, αkη is a backscattering element of the deposited energy distribution in the kth pattern.
When the shape of each pattern is modified, it is desirable to correct the shape so that the sum of the squared values of the deviation from the standard CD-DOSE curve with respect to one or more known process fluctuations becomes minimum.
Next, for each pattern whose shape is corrected, the dose as shown in
Lastly, on the basis of a pattern having the shape corrected above and the corrected dose Qk′, the exposure data for an electron beam 13 is prepared.
Accordingly, in the embodiment, fluctuation of the resultant linewidth between the patterns is reduced per dose nearby the dose correction with respect to the known process fluctuation in a group of patterns having the same target linewidth. In other words, as understood from
According to the embodiment, since the linewidths of the patterns can be aligned with each other per dose nearby the dose correction, linewidth fluctuation between the patterns can be reduced with respect to process fluctuation. Moreover, a uniform adjustment of the dose reduces the deviation from the target linewidth.
Although the shape change is executed for patterns having any linewidth in the above embodiment, the process of the shape change may be omitted for patterns having a linewidth whose fluctuation is not necessarily reduced strictly.
[Exposure Steps]
In
In the provisional exposure in the step S21, evaluation data is used. This evaluation data is previously prepared so as to cover the combination of linewidth, intervals and area density permitted in a design rule. From the evaluation data, exposure data is prepared in a similar manner to the above exposure data preparation steps, and several values of the dose mainly under a condition that there is no process fluctuation are presented in order to execute exposure, more specifically, the provisional exposure. The resultant linewidth of an evaluation pattern for each dose value is measured by a Scanning Electron Microscope (SEM) to obtain the optimum dose where fluctuation from the target linewidth is minimum.
In the above embodiment, the present invention is applied to electron beam exposure technology. However, the present invention is applicable to any other technology in a similar manner as long as it is a charged particle beam exposure technology where the shape and the corrected dose can be modified for each pattern such as an ion beam exposure technology.
All examples and conditional language recited herein are intended for pedagogical purposes to aid the reader in understanding the invention and the concept contributed by the inventor to furthering the art, and are to be construed as being without limitation to such specifically recited examples and conditions, nor does the organization of such examples in the specification related to a showing of the superiority and inferiority of the invention. Although the embodiments of the present inventions have been described in detail, it should be understood that the various changes, substitutions, and alterations could be made hereto without departing from the spirit and scope of the invention.
Number | Date | Country | Kind |
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2008-000950 | Jan 2008 | JP | national |
Number | Name | Date | Kind |
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6509127 | Yamashita | Jan 2003 | B1 |
Number | Date | Country |
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11-26360 | Jan 1999 | JP |
2001-52999 | Feb 2001 | JP |
2005-101501 | Apr 2005 | JP |
Number | Date | Country | |
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20090176168 A1 | Jul 2009 | US |