The present disclosure relates generally to feedback to affect polishing rate corrections during chemical mechanical polishing.
An integrated circuit is typically formed on a substrate by the sequential deposition of conductive, semiconductive, or insulative layers on a silicon wafer. One fabrication step involves depositing a filler layer over a non-planar surface and planarizing the filler layer. For certain applications, the filler layer is planarized until the top surface of a patterned layer is exposed. A conductive filler layer, for example, can be deposited on a patterned insulative layer to fill the trenches or holes in the insulative layer. After planarization, the portions of the conductive layer remaining between the raised pattern of the insulative layer form vias, plugs, and lines that provide conductive paths between thin film circuits on the substrate. For other applications, such as oxide polishing, the filler layer is planarized until a predetermined thickness is left over the non planar surface. In addition, planarization of the substrate surface is usually required for photolithography.
Chemical mechanical polishing (CMP) is one accepted method of planarization. This planarization method typically requires that the substrate be mounted on a carrier head. The exposed surface of the substrate is typically placed against a rotating polishing pad with a durable roughened surface. The carrier head provides a controllable load on the substrate to push it against the polishing pad. A polishing liquid, such as a slurry with abrasive particles, is typically supplied to the surface of the polishing pad.
One problem in CMP is using an appropriate polishing rate to achieve a desirable profile, e.g., a substrate layer that has been planarized to a desired flatness or thickness, or a desired amount of material has been removed. Variations in the initial thickness of a substrate layer, the slurry composition, the polishing pad condition, the relative speed between the polishing pad and a substrate, and the load on a substrate can cause variations in the material removal rate across a substrate, and from substrate to substrate. These variations cause variations in the time needed to reach the polishing endpoint and the amount removed. Therefore, it may not be possible to determine the polishing endpoint merely as a function of the polishing time, or to achieve a desired profile merely by applying a constant pressure.
In some systems, a substrate is optically monitored in-situ during polishing, e.g., through a window in the polishing pad. However, existing optical monitoring techniques may not satisfy increasing demands of semiconductor device manufacturers.
In one aspect, a computer-implemented method includes polishing a substrate having a plurality of zones, a polishing rate of each zone is independently controllable by an independently variable polishing parameter, storing a target index value, measuring a sequence of spectra from each zone during polishing with an in-situ monitoring system, for each measured spectrum in the sequence of spectra for each zone, determining a best matching reference spectrum from a library of reference spectra, for each best matching reference spectrum for each zone, determining an index value to generate a sequence of index values, for each zone, fitting a first linear function to the sequence of index values, for a reference zone from the plurality of zones, determining a projected time at which the reference zone will reach the target index value based on the first linear function of the reference zone, and for at least one adjustable zone, calculating an adjustment for the polishing parameter for the adjustable zone to adjust the polishing rate of the adjustable zone such that the adjustable zone has closer to the target index at the projected time than without such adjustment, the calculation including calculating the adjustment based on a feedback error calculated for a previous substrate, after adjustment of the polishing parameter, for each zone, continuing to measure the sequence of spectra, determine a best matching reference spectrum from a library of reference spectra, and determine an index value to generate a second sequence of index values obtained after the adjustment of the polishing parameter, for the at least one adjustable zone of each substrate, fitting a second linear function to the second sequence of index values, and calculating the feedback error for a subsequent substrate for the at least one adjustable zone based on the second linear function and the desired slope.
Implementations can include one or more of the following features. The polishing parameter may be a pressure in a carrier head of the polishing apparatus. For each adjustable zone, a time at which the adjustable zone will reach the target index may be determined. The polishing parameter may be adjusted for the at least one adjustable zone such that the least one adjustable zone has closer to the target index at the projected time than without such adjustment. Adjusting the polishing parameter may include calculating a desired slope for the adjustable zone. A projected index may be calculated for the adjustable zone at which the linear function for the adjustable zone reaches the projected time. Calculating the desired slope SD for a zone may include calculating SD=(IT−I)/(TE−T0), wherein T0 is the time at which the polishing parameter is to be changed, TE is the projected endpoint time, IT is the target index, and I is the index value of the zone at time T0. Determining the first linear function may include determining a slope S for the first linear function for a time before time T0. Adjusting the polishing parameter may include calculating an adjusted pressure Padj=(Pnew−Pold)*err+Pnew, where err is the feedback error, where Pnew=Pold*SD/S, and where Pold is the pressure applied to the zone before time T0. An actual slope S′ may be determined from the second linear function. The feedback error err is calculated as err=[(SD−S′)/SD]. Whether the desired slope SD of the adjustable zone is greater than the slope S of the adjustable zone may be determined before the adjustment to the polishing parameter. The feedback error err is may be calculated as err=[(SD−S′)/SD] if SD>S and the feedback error err is calculated as err=[(S′−SD)/SD] if SD<S. The feedback error err may be calculated from an accumulation of feedback errors of the adjustable zone from a plurality of prior substrates. Calculating the desired slope SD for a zone may include calculating SD=(ITadj−I)/(TE−T0), where T0 is the time at which the polishing parameter is to be changed, TE is the projected endpoint time, ITadj is an adjusted target index, and I is the index value of the adjustable zone at time T0. Adjusting the polishing parameter may includes calculating the new pressure Pnew=Pold*SD/S, where Pold is the pressure applied to the zone before time T0, and slope S is the first linear function for a time before time T0. A starting index SI at the time T0 when the polishing parameter is changed may be calculated. The adjusted target index ITadj may be calculated as ITadj=SI+(IT−SI)*(1+err), IT is the target index, and SI is the starting index. An actual index AI reached by the adjustable zone at an endpoint time TE′ may be determined. Determining the actual index AI may includes calculating a value of the second function at the endpoint time TE′. The error err may be calculated as err=[(IT−AI)/(IT−SI)], where AI is the actual index, SI is the starting index and IT is the target index.
In other aspects, polishing systems and computer-program products tangibly embodied on a computer readable medium are provided to carry out these methods.
Certain implementations may have one or more of the following advantages. If all of the substrates on the same platen endpoint at approximately the same time, defects can be avoided, such as scratches caused by rinsing a substrate with water too early or corrosion caused by failing to rinse a substrate in a timely manner. Equalizing polishing times across multiple substrates can also improve throughput. Equalizing polishing times for different zones within a substrate can also decrease within-wafer non-uniformity (WIWNU), i.e., improve substrate layer uniformity. Feedback can decrease wafer-to-wafer non-uniformity (WTWNU), e.g., by compensating for process drift, e.g., wear of the polishing pad or changes in polishing temperature.
The details of one or more embodiments are set forth in the accompanying drawings and the description below. Other features, aspects, and advantages will become apparent from the description, the drawings, and the claims.
Like reference numbers and designations in the various drawings indicate like elements.
Where multiple substrates are being polished simultaneously, e.g., on the same polishing pad, polishing rate variations between the substrates can lead to the substrates reaching their target thickness at different times. On the one hand, if polishing is halted simultaneously for the substrates, then some will not be at the desired thickness. On the other hand, if polishing for the substrates is stopped at different times, then some substrates may have defects and the polishing apparatus is operating at lower throughput.
By determining a polishing rate for each zone for each substrate from in-situ measurements, a projected endpoint time for a target thickness or a projected thickness for target endpoint time can be determined for each zone for each substrate, and the polishing rate for at least one zone of at least one substrate can be adjusted so that the substrates achieve closer endpoint conditions. By “closer endpoint conditions,” it is meant that the zones of the substrates would reach their target thickness closer to the same time than without such adjustment, or if the substrates halt polishing at the same time, that the zones of the substrates would have closer to the same thickness than without such adjustment.
The polishing apparatus 100 can include a combined slurry/rinse arm 130. During polishing, the arm 130 is operable to dispense a polishing liquid 132, such as a slurry, onto the polishing pad 110. While only one slurry/rinse arm 130 is shown, additional nozzles, such as one or more dedicated slurry arms per carrier head, can be used. The polishing apparatus can also include a polishing pad conditioner to abrade the polishing pad 110 to maintain the polishing pad 110 in a consistent abrasive state.
In this embodiment, the polishing apparatus 100 includes two (or two or more) carrier heads 140. Each carrier head 140 is operable to hold a substrate 10 (e.g., a first substrate 10a at one carrier head and a second substrate 10b at the other carrier head) against the polishing pad 110. Each carrier head 140 can have independent control of the polishing parameters, for example pressure, associated with each respective substrate.
In particular, each carrier head 140 can include a retaining ring 142 to retain the substrate 10 below a flexible membrane 144. Each carrier head 140 also includes a plurality of independently controllable pressurizable chambers defined by the membrane, e.g., 3 chambers 146a-146c, which can apply independently controllable pressurizes to associated zones 148a-148c on the flexible membrane 144 and thus on the substrate 10 (see
Returning to
While only two carrier heads 140 are shown, more carrier heads can be provided to hold additional substrates so that the surface area of polishing pad 110 may be used efficiently. Thus, the number of carrier head assemblies adapted to hold substrates for a simultaneous polishing process can be based, at least in part, on the surface area of the polishing pad 110.
The polishing apparatus also includes an in-situ monitoring system 160, which can be used to determine whether to adjust a polishing rate or an adjustment for the polishing rate as discussed below. The in-situ monitoring system 160 can include an optical monitoring system, e.g., a spectrographic monitoring system, or an eddy current monitoring system.
In one embodiment, the monitoring system 160 is an optical monitoring system. An optical access through the polishing pad is provided by including an aperture (i.e., a hole that runs through the pad) or a solid window 118. The solid window 118 can be secured to the polishing pad 110, e.g., as a plug that fills an aperture in the polishing pad, e.g., is molded to or adhesively secured to the polishing pad, although in some implementations the solid window can be supported on the platen 120 and project into an aperture in the polishing pad.
The optical monitoring system 160 can include a light source 162, a light detector 164, and circuitry 166 for sending and receiving signals between a remote controller 190, e.g., a computer, and the light source 162 and light detector 164. One or more optical fibers can be used to transmit the light from the light source 162 to the optical access in the polishing pad, and to transmit light reflected from the substrate 10 to the detector 164. For example, a bifurcated optical fiber 170 can be used to transmit the light from the light source 162 to the substrate 10 and back to the detector 164. The bifurcated optical fiber an include a trunk 172 positioned in proximity to the optical access, and two branches 174 and 176 connected to the light source 162 and detector 164, respectively.
In some implementations, the top surface of the platen can include a recess 128 into which is fit an optical head 168 that holds one end of the trunk 172 of the bifurcated fiber. The optical head 168 can include a mechanism to adjust the vertical distance between the top of the trunk 172 and the solid window 118.
The output of the circuitry 166 can be a digital electronic signal that passes through a rotary coupler 129, e.g., a slip ring, in the drive shaft 124 to the controller 190 for the optical monitoring system. Similarly, the light source can be turned on or off in response to control commands in digital electronic signals that pass from the controller 190 through the rotary coupler 129 to the optical monitoring system 160. Alternatively, the circuitry 166 could communicate with the controller 190 by a wireless signal.
The light source 162 can be operable to emit white light. In one implementation, the white light emitted includes light having wavelengths of 200-800 nanometers. A suitable light source is a xenon lamp or a xenon mercury lamp.
The light detector 164 can be a spectrometer. A spectrometer is an optical instrument for measuring intensity of light over a portion of the electromagnetic spectrum. A suitable spectrometer is a grating spectrometer. Typical output for a spectrometer is the intensity of the light as a function of wavelength (or frequency).
As noted above, the light source 162 and light detector 164 can be connected to a computing device, e.g., the controller 190, operable to control their operation and receive their signals. The computing device can include a microprocessor situated near the polishing apparatus, e.g., a programmable computer. With respect to control, the computing device can, for example, synchronize activation of the light source with the rotation of the platen 120.
In some implementations, the light source 162 and detector 164 of the in-situ monitoring system 160 are installed in and rotate with the platen 120. In this case, the motion of the platen will cause the sensor to scan across each substrate. In particular, as the platen 120 rotates, the controller 190 can cause the light source 162 to emit a series of flashes starting just before and ending just after each substrate 10 passes over the optical access. Alternatively, the computing device can cause the light source 162 to emit light continuously starting just before and ending just after each substrate 10 passes over the optical access. In either case, the signal from the detector can be integrated over a sampling period to generate spectra measurements at a sampling frequency.
In operation, the controller 190 can receive, for example, a signal that carries information describing a spectrum of the light received by the light detector for a particular flash of the light source or time frame of the detector. Thus, this spectrum is a spectrum measured in-situ during polishing.
As shown by in
Thus, for any given rotation of the platen, based on timing and motor encoder information, the controller can determine which substrate, e.g., substrate 10a or 10b, is the source of the measured spectrum. In addition, for any given scan of the optical monitoring system across a substrate, e.g., substrate 10a or 10b, based on timing, motor encoder information, and optical detection of the edge of the substrate and/or retaining ring, the controller 190 can calculate the radial position (relative to the center of the particular substrate 10a or 10b being scanned) for each measured spectrum from the scan. The polishing system can also include a rotary position sensor, e.g., a flange attached to an edge of the platen that will pass through a stationary optical interrupter, to provide additional data for determination of which substrate and the position on the substrate of the measured spectrum. The controller can thus associate the various measured spectra with the controllable zones 148b-148e (see
Over multiple rotations of the platen, for each zone of each substrate, a sequence of spectra can be obtained over time. Without being limited to any particular theory, the spectrum of light reflected from the substrate 10 evolves as polishing progresses (e.g., over multiple rotations of the platen, not during a single sweep across the substrate) due to changes in the thickness of the outermost layer, thus yielding a sequence of time-varying spectra. Moreover, particular spectra are exhibited by particular thicknesses of the layer stack.
In some implementations, the controller, e.g., the computing device, can be programmed to compare a measured spectrum to multiple reference spectra to and determine which reference spectrum provides the best match. In particular, the controller can be programmed to compare each spectrum from a sequence of measured spectra from each zone of each substrate to multiple reference spectra to generate a sequence of best matching reference spectra for each zone of each substrate.
As used herein, a reference spectrum is a predefined spectrum generated prior to polishing of the substrate. A reference spectrum can have a pre-defined association, i.e., defined prior to the polishing operation, with a value representing a time in the polishing process at which the spectrum is expected to appear, assuming that the actual polishing rate follows an expected polishing rate. Alternatively or in addition, the reference spectrum can have a pre-defined association with a value of a substrate property, such as a thickness of the outermost layer.
A reference spectrum can be generated empirically, e.g., by measuring the spectra from a test substrate, e.g., a test substrate having a known initial layer thicknesses. For example, to generate a plurality of reference spectra, a set-up substrate is polished using the same polishing parameters that would be used during polishing of device wafers while a sequence of spectra are collected. For each spectrum, a value is recorded representing the time in the polishing process at which the spectrum was collected. For example, the value can be an elapsed time, or a number of platen rotations. The substrate can be overpolished, i.e., polished past a desired thickness, so that the spectrum of the light that reflected from the substrate when the target thickness is achieved can be obtained.
In order to associate each spectrum with a value of a substrate property, e.g., a thickness of the outermost layer, the initial spectra and property of a “set-up” substrate with the same pattern as the product substrate can be measured pre-polish at a metrology station. The final spectrum and property can also be measured post-polish with the same metrology station or a different metrology station. The properties for spectra between the initial spectra and final spectra can be determined by interpolation, e.g., linear interpolation based on elapsed time at which the spectra of the test substrate was measured.
In addition to being determined empirically, some or all of the reference spectra can be calculated from theory, e.g., using an optical model of the substrate layers. For example, and optical model can be used to calculate a reference spectrum for a given outer layer thickness D. A value representing the time in the polishing process at which the reference spectrum would be collected can be calculated, e.g., by assuming that the outer layer is removed at a uniform polishing rate. For example, the time Ts for a particular reference spectrum can be calculated simply by assuming a starting thickness D0 and uniform polishing rate R (Ts=(D0−D)/R). As another example, linear interpolation between measurement times T1, T2 for the pre-polish and post-polish thicknesses D1, D2 (or other thicknesses measured at the metrology station) based on the thickness D used for the optical model can be performed (Ts=T2−T1*(D1−D)/(D1−D2)).
Referring to
Reference spectra 320 for different libraries 310 can be generated by polishing multiple “set-up” substrates with different substrate properties (e.g., underlying layer thicknesses, or layer composition) and collecting spectra as discussed above; the spectra from one set-up substrate can provide a first library and the spectra from another substrate with a different underlying layer thickness can provide a second library. Alternatively or in addition, reference spectra for different libraries can be calculated from theory, e.g., spectra for a first library can be calculated using the optical model with the underlying layer having a first thickness, and spectra for a second library can be calculated using the optical model with the underlying layer having a different one thickness.
In some implementations, each reference spectrum 320 is assigned an index value 330. In general, each library 310 can include many reference spectra 320, e.g., one or more, e.g., exactly one, reference spectra for each platen rotation over the expected polishing time of the substrate. This index 330 can be the value, e.g., a number, representing the time in the polishing process at which the reference spectrum 320 is expected to be observed. The spectra can be indexed so that each spectrum in a particular library has a unique index value. The indexing can be implemented so that the index values are sequenced in an order in which the spectra were measured. An index value can be selected to change monotonically, e.g., increase or decrease, as polishing progresses. In particular, the index values of the reference spectra can be selected so that they form a linear function of time or number of platen rotations (assuming that the polishing rate follows that of the model or test substrate used to generate the reference spectra in the library). For example, the index value can be proportional, e.g., equal, to a number of platen rotations at which the reference spectra was measured for the test substrate or would appear in the optical model. Thus, each index value can be a whole number. The index number can represent the expected platen rotation at which the associated spectrum would appear.
The reference spectra and their associated index values can be stored in a reference library. For example, each reference spectrum 320 and its associated index value 330 can be stored in a record 340 of database 350. The database 350 of reference libraries of reference spectra can be implemented in memory of the computing device of the polishing apparatus.
As noted above, for each zone of each substrate, based on the sequence of measured spectra for that zone and substrate, the controller 190 can be programmed to generate a sequence of best matching spectra. A best matching reference spectrum can be determined by comparing a measured spectrum to the reference spectra from a particular library.
In some implementations, the best matching reference spectrum can be determined by calculating, for each reference spectra, a sum of squared differences between the measured spectrum and the reference spectrum. The reference spectrum with the lowest sum of squared differences has the best fit. Other techniques for finding a best matching reference spectrum are possible.
A method that can be applied to decrease computer processing is to limit the portion of the library that is searched for matching spectra. The library typically includes a wider range of spectra than will be obtained while polishing a substrate. During substrate polishing, the library searching is limited to a predetermined range of library spectra. In some embodiments, the current rotational index N of a substrate being polished is determined. For example, in an initial platen rotation, N can be determined by searching all of the reference spectra of the library. For the spectra obtained during a subsequent rotation, the library is searched within a range of freedom of N. That is, if during one rotation the index number is found to be N, during a subsequent rotation which is X rotations later, where the freedom is Y, the range that will be searched from (N+X)−Y to (N+X)+Y.
Referring to
For a given index trace 210, where there are multiple spectra measured for a particular substrate and zone in a single sweep of the optical monitoring system (termed “current spectra”), a best match can be determined between each of the current spectra and the reference spectra of one or more, e.g., exactly one, library. In some implementations, each selected current spectra is compared against each reference spectra of the selected library or libraries. Given current spectra e, f, and g, and reference spectra E, F, and G, for example, a matching coefficient could be calculated for each of the following combinations of current and reference spectra: e and E, e and F, e and G, f and E, f and F, f and G, g and E, g and F, and g and G. Whichever matching coefficient indicates the best match, e.g., is the smallest, determines the best-matching reference spectrum, and thus the index value. Alternatively, in some implementations, the current spectra can be combined, e.g., averaged, and the resulting combined spectrum is compared against the reference spectra to determine the best match, and thus the index value.
In some implementations, for at least some zones of some substrates, a plurality of index traces can be generated. For a given zone of a given substrate, an index trace can be generated for each reference library of interest. That is, for each reference library of interest to the given zone of the given substrate, each measured spectrum in a sequence of measured spectra is compared to reference spectra from a given library, a sequence of the best matching reference spectra is determined, and the index values of the sequence of best matching reference spectra provide the index trace for the given library.
In summary, each index trace includes a sequence 210 of index values 212, with each particular index value 212 of the sequence being generated by selecting the index of the reference spectrum from a given library that is the closest fit to the measured spectrum. The time value for each index of the index trace 210 can be the same as the time at which the measured spectrum was measured.
Referring to
As shown in
At some during the polishing process, e.g., at a time T0, a polishing parameter for at least one zone of at least one substrate, e.g., at least one zone of every substrate, is adjusted to adjust the polishing rate of the zone of the substrate such that at a polishing endpoint time, the plurality of zones of the plurality of substrates are closer to their target thickness than without such adjustment. In some embodiments, each zone of the plurality of substrates can have approximately the same thickness at the endpoint time.
Referring to
In order to determine the projected time at which the reference zone will reach the target index, the intersection of the line of the reference zone, e.g., line 214, with the target index, IT, can be calculated. Assuming that the polishing rate does not deviate from the expected polishing rate through the remainder polishing process, then the sequence of index values should retain a substantially linear progression. Thus, the expected endpoint time TE can be calculated as a simple linear interpolation of the line to the target index IT, e.g., IT=S·(TE−T). Thus, in the example of
One or more zones, e.g., all zones, other than the reference zone (including zones on other substrates) can be defined as adjustable zones. Where the lines for the adjustable zones meet the expected endpoint time TE define projected endpoint for the adjustable zones. The linear function of each adjustable zone, e.g., lines 224, 234 and 244 in
As shown in
If, as shown in
Thus, in the example of
In some implementations, if the projected index at the expected endpoint time ET indicate that a zone of the substrate is within a predefined range of the target thickness, then no adjustment may be required for that zone. The range may be 2%, e.g., within 1%, of the target index.
The polishing rates for the adjustable zones can be adjusted so that all of the zones are closer to the target index at the expected endpoint time than without such adjustment. For example, a reference zone of the reference substrate might be chosen and the processing parameters for all of the other zone adjusted such that all of the zones will endpoint at approximately the projected time of the reference substrate. The reference zone can be, for example, a predetermined zone, e.g., the center zone 148a or the zone 148b immediately surrounding the center zone, the zone having the earliest or latest projected endpoint time of any of the zones of any of the substrates, or the zone of a substrate having the desired projected endpoint. The earliest time is equivalent to the thinnest substrate if polishing is halted at the same time. Likewise, the latest time is equivalent to the thickest substrate if polishing is halted at the same time. The reference substrate can be, for example, a predetermined substrate, a substrate having the zone with the earliest or latest projected endpoint time of the substrates. The earliest time is equivalent to the thinnest zone if polishing is halted at the same time. Likewise, the latest time is equivalent to the thickest zone if polishing is halted at the same time.
For each of the adjustable zones, a desired slope for the index trace can be calculated such that the adjustable zone reaches the target index at the same time as the reference zone. For example, the desired slope SD can be calculated from (IT−I)=SD*(TE−T0), where I is the index value (calculated from the linear function fit to the sequence of index values) at time T0 polishing parameter is to be changed, IT is the target index, and TE is the calculated expected endpoint time. In the example of
Referring to
Referring to
The desired slope SD for each adjustable zone can be calculated from (IT−I)=SD*(TE−T0), where I is the index value of the zone (calculated from the linear function fit to the sequence of index values for the zone) at time T0 at which the polishing parameter is to be changed, IT is the target index of the particular zone, and TE is the calculated expected endpoint time (either from a reference zone as discussed above in relation to
For any of the above methods described above for
For example, assuming that pressure Pold1 was applied to the first zone of the first substrate, pressure Pold2 was applied to the second zone of the first substrate, pressure Pold3 was applied to the first zone of the second substrate, and pressure Pold4 was applied to the second zone of the second substrate, then new pressure Pnew1 for the first zone of the first substrate can be calculated as Pnew1=Pold1*(SD1/S1), the new pressure Pnew2 for the second zone of the first substrate clan be calculated as Pnew2=Pold2*(SD2/S2), the new pressure Pnew3 for the first zone of the second substrate clan be calculated as Pnew3=Pold3*(SD3/S3), and the new pressure Pnew4 for the second zone of the second substrate clan be calculated as Pnew4=Pold4*(SD4/S4).
The process of determining projected times that the substrates will reach the target thickness, and adjusting the polishing rates, can be performed just once during the polishing process, e.g., at a specified time, e.g., 40 to 60% through the expected polishing time, or performed multiple times during the polishing process, e.g., every thirty to sixty seconds. At a subsequent time during the polishing process, the rates can again be adjusted, if appropriate. During the polishing process, changes in the polishing rates can be made only a few times, such as four, three, two or only one time. The adjustment can be made near the beginning, at the middle or toward the end of the polishing process.
Polishing continues after the polishing rates have been adjusted, e.g., after time T0, the optical monitoring system continues to collect spectra for at least the reference zone and determine index values for the reference zone. In some implementations, the optical monitoring system continues to collect spectra and determine index values for each zone of each substrate. Once the index trace of a reference zone reaches the target index, endpoint is called and the polishing operation stops for both substrates.
For example, as shown in
Even with the adjustment of the polishing rates as described above with reference to
In some implementations, the feedback can be an error value based on measurements of an adjustable zone of one or more prior substrates. The error value can be used in the calculation of the desired pressure for an adjustable zone (i.e., other than a reference zone) of a subsequent substrate. The error value can be calculated based on the desired polishing rate (e.g., as represented by the calculated slope SD) and the actual polishing rate after the adjustment, e.g., after T0 (e.g., as represented by the actual slope S′). The error value can be used as a scaling factor to adjust the modification to the pressure on the adjustable zone. For this implementation, the optical monitoring system continues to collect spectra and determine index values for at least one adjustable zone, e.g., each adjustable zones of each substrate, after the adjustment of polishing pressures, e.g., after T0. However, implementations which use this feedback technique can also be applicable where only a single substrate is being polishing on the polishing pad at one time.
In one implementation, the adjusted pressure Pajd to apply to an adjustable zone on a substrate after time T0 when the correction is made, is calculated according to
Padj=(Pnew−Pold)*err+Pnew,
where Pold was the pressure applied to the zone before time T0, Pnew is calculated as Pnew=Pold*(SD/S), and err is an error value calculated based on the variation of the actual polishing rate of the zone of one or more prior substrates from the desired polishing rate for the zone of those prior substrates.
As shown by
As shown by
As shown by
As shown by
The implementations discussed above for
However, in some implementations, the error can always be calculated in the same manner, err=[(SD−S′)/SD]. In these implementations, if the desired slope is greater than the actual slope, then the error is positive, and if the desired slope is less than the actual slope, then the error is negative, regardless of the original slope S.
In some implementations, in each of the cases of
It can also be noted that rather than apply an error in the calculation of the adjusted pressure, an adjusted target index for the adjustable zone can be calculated. The desired slope would then be calculated based on the adjusted target index. For example, referring to
In some implementations, applicable to the embodiments of both
In some implementation, the applied error err used in the calculation for either equation 1 or equation 2 for the present substrate is calculated as a combination of the scaled error of the previous substrate and a weighted average of the applied error from substrates before the previous substrate. This can be expressed as by the following equations:
applied errX+1=scaled errorX+total errorX−1
scaled errorX=k1*errX and
total errorX−1=k2*(a1*applied errX−2+a2*applied errX−3+ . . . +aN*applied err(X−(N+1))
where k1 and k2 are constants, and a1, a2, . . . aN are constants for a weighted average, i.e., a1+a2+ . . . +aN=1. The constant k1 can be about 0.7, and the constant k2 can be 1. ErrX is the error calculated for the previous substrate according to one of the above approaches, e.g., errX=[(SD−S′)/SD] or errX=[(S′−SD)/SD] for the implementations of
In some implementations, e.g., for copper polishing, after detection of the endpoint for a substrate, the substrate is immediately subjected to an overpolishing process, e.g., to remove copper residue. The overpolishing process can be at a uniform pressure for all zones of the substrate, e.g., 1 to 1.5 psi. The overpolishing process can have a preset duration, e.g., 10 to 15 seconds.
In some implementations, polishing of the substrates does not halt simultaneously. In such implementations, for the purpose of the endpoint determination, there can be a reference zone for each substrate. Once the index trace of a reference zone of a particular substrate reaches the target index (e.g., as calculated by the time the linear function fit the sequence of index values after time T0 reaches the target index), endpoint is called for the particular substrate and application of pressure to all zones of the particular is halted simultaneously. However, polishing of one or more other substrates can continue. Only after endpoint has been called for the all of the remaining substrates (or after overpolishing has been completed for all substrates), based on the reference zones of the remaining substrates, does rinsing of the polishing pad commence. In addition, all of the carrier heads can lift the substrates off the polishing pad simultaneously.
Where multiple index traces are generated for a particular zone and substrate, e.g., one index trace for each library of interest to the particular zone and substrate, then one of the index traces can be selected for use in the endpoint or pressure control algorithm for the particular zone and substrate. For example, the each index trace generated for the same zone and substrate, the controller 190 can fit a linear function to the index values of that index trace, and determine a goodness of fit of that linear function to the sequence of index values. The index trace generated having the line with the best goodness of fit its own index values can be selected as the index trace for the particular zone and substrate. For example, when determining how to adjust the polishing rates of the adjustable zones, e.g., at time T0, the linear function with the best goodness of fit can be used in the calculation. As another example, endpoint can be called when the calculated index (as calculated from the linear function fit to the sequence of index values) for the line with the best goodness of fit matches or exceeds the target index. Also, rather than calculating an index value from the linear function, the index values themselves could be compared to the target index to determine the endpoint.
Determining whether an index trace associated with a spectra library has the best goodness of fit to the linear function associated with the library can include determining whether the index trace of the associated spectra library has the least amount of difference from the associated robust line, relatively, as compared to the differences from the associated robust line and index trace associated with another library, e.g., the lowest standard deviation, the greatest correlation, or other measure of variance. In one implementation, the goodness of fit is determined by calculating a sum of squared differences between the index data points and the linear function; the library with the lowest sum of squared differences has the best fit.
Referring to
The techniques described above can also be applicable for monitoring of metal layers using an eddy current system. In this case, rather than performing matching of spectra, the layer thickness (or a value representative thereof) is measured directly by the eddy current monitoring system, and the layer thickness is used in place of the index value for the calculations.
The method used to adjust endpoints can be different based upon the type of polishing performed. For copper bulk polishing, a single eddy current monitoring system can be used. For copper-clearing CMP with multiple wafers on a single platen, a single eddy current monitoring system can first be used so that all of the substrates reach a first breakthrough at the same time. The eddy current monitoring system can then be switched to a laser monitoring system to clear and over-polish the wafers. For barrier and dielectric CMP with multiple wafers on a single platen, an optical monitoring system can be used.
Embodiments of the invention and all of the functional operations described in this specification can be implemented in digital electronic circuitry, or in computer software, firmware, or hardware, including the structural means disclosed in this specification and structural equivalents thereof, or in combinations of them. Embodiments of the invention can be implemented as one or more computer program products, i.e., one or more computer programs tangibly embodied in a machine-readable storage media, for execution by, or to control the operation of, data processing apparatus, e.g., a programmable processor, a computer, or multiple processors or computers. A computer program (also known as a program, software, software application, or code) can be written in any form of programming language, including compiled or interpreted languages, and it can be deployed in any form, including as a stand-alone program or as a module, component, subroutine, or other unit suitable for use in a computing environment. A computer program does not necessarily correspond to a file. A program can be stored in a portion of a file that holds other programs or data, in a single file dedicated to the program in question, or in multiple coordinated files (e.g., files that store one or more modules, sub-programs, or portions of code). A computer program can be deployed to be executed on one computer or on multiple computers at one site or distributed across multiple sites and interconnected by a communication network.
The processes and logic flows described in this specification can be performed by one or more programmable processors executing one or more computer programs to perform functions by operating on input data and generating output. The processes and logic flows can also be performed by, and apparatus can also be implemented as, special purpose logic circuitry, e.g., an FPGA (field programmable gate array) or an ASIC (application-specific integrated circuit).
The above described polishing apparatus and methods can be applied in a variety of polishing systems. Either the polishing pad, or the carrier heads, or both can move to provide relative motion between the polishing surface and the substrate. For example, the platen may orbit rather than rotate. The polishing pad can be a circular (or some other shape) pad secured to the platen. Some aspects of the endpoint detection system may be applicable to linear polishing systems, e.g., where the polishing pad is a continuous or a reel-to-reel belt that moves linearly. The polishing layer can be a standard (for example, polyurethane with or without fillers) polishing material, a soft material, or a fixed-abrasive material. Terms of relative positioning are used; it should be understood that the polishing surface and substrate can be held in a vertical orientation or some other orientation.
Particular embodiments of the invention have been described. Other embodiments are within the scope of the following claims.
Number | Name | Date | Kind |
---|---|---|---|
7409260 | David et al. | Aug 2008 | B2 |
7774086 | David et al. | Aug 2010 | B2 |
8039397 | David et al. | Oct 2011 | B2 |
20030022400 | Nomoto et al. | Jan 2003 | A1 |
20070224915 | David et al. | Sep 2007 | A1 |
20090036026 | David et al. | Feb 2009 | A1 |
20100056023 | David et al. | Mar 2010 | A1 |
20100103422 | David et al. | Apr 2010 | A1 |
20100105288 | David et al. | Apr 2010 | A1 |
20100114532 | David et al. | May 2010 | A1 |
20100120330 | Zhang et al. | May 2010 | A1 |
20100217430 | David et al. | Aug 2010 | A1 |
Number | Date | Country | |
---|---|---|---|
20110281501 A1 | Nov 2011 | US |