METROLOGY DEVICE AND METHOD
20240410962 · 2024-12-12
Inventors
- Abbas MOHTASHAMI ('s-Gravenhage, NL)
- Clara Inés OSORIO TAMAYO (Delft, NL)
- Kodai Hatakeyama (Pijnacker, NL)
Cpc classification
G01R33/1284
PHYSICS
G01R33/448
PHYSICS
G01R33/12
PHYSICS
G01R33/032
PHYSICS
G01R33/0029
PHYSICS
International classification
G01R33/032
PHYSICS
G01Q60/54
PHYSICS
Abstract
A metrology device for determining metrological characteristics of a sample is described that includes a probe, a scanning mechanism, a radiation source, an optical sensor and a signal processor. In operation the scanning mechanism displaces the probe relative to the sample, along a surface of the sample. The probe has a diamond tip with one or more nitrogen-vacancy centers and is irradiated by the radiation source with photon radiation to excite the diamond tip to emit fluorescent light. The optical sensor provides a sense signal indicative of an intensity of the emitted fluorescent light and the signal processor processes the sense signal to compute at least one characteristic of a feature present in the sample.
Claims
1. A metrology device for determining metrological characteristics of a sample with conductive features embedded in a layer of a material or a combination of materials having a conductivity different from that of the conductive features, the device comprising: a probe having a diamond tip with one or more nitrogen-vacancy centers; a scanning mechanism to displace the probe relative to the sample, along a surface of the sample; a radiation source to irradiate the diamond tip with a photon radiation to excite the diamond tip to emit fluorescent light; an optical sensor to provide a sense signal indicative of an intensity of fluorescent light emitted by the diamond tip; and a signal processor to process the sense signal to compute at least one characteristic of a conductive feature present in the sample.
2. The metrology device according to claim 1, which is configured to: measure a spin relaxation time and to determine a critical dimension of a conductive feature in the sample in a lateral direction as the distance in that lateral direction for which the measured spin relaxation time assumes a value lower than a predetermined relaxation time threshold value; or induce a magnetic field and to determine the critical dimension of the conductive feature as the distance in that lateral direction for which the measured value of a change of the magnetic field relative to the induced magnetic field exceeds a threshold value.
3. The metrology device according to claim 1, which is configured to: measure a spin relaxation time and to determine a critical dimension for a distance between subsequent conductive features in the sample in a lateral direction as a distance in the lateral direction for which the measured spin relaxation time exceeds a predetermined relaxation time threshold value; or induce a magnetic field and to determine the critical dimension for the distance between the subsequent conductive features as the distance in the lateral direction for which the measured value of the change of the magnetic field relative to the induced magnetic field is less than a threshold value.
4. The metrology device according to claim 1, which is configured to: measure a spin relaxation time and to determine a depth of a conductive feature in the sample having a known thickness to be the depth value for the depth of the conductive feature for a conductive feature having the known thickness and for which an expected value of the spin relaxation time is equal to the measured value of the spin relaxation time; or induce a magnetic field and to determine the depth of the conductive feature in the sample having a known thickness to be the depth value for the depth of the conductive feature for the conductive feature having the known thickness and for which an expected value of the change of the magnetic field relative to the induced magnetic field is equal to the measured value of the change of the magnetic field relative to the induced magnetic field.
5. The metrology device according to claim 1, which is configured to: measure a spin relaxation time and to determine a thickness of a conductive feature in the sample at a known depth to be the thickness value for the thickness of the conductive feature for a conductive feature at the known depth and for which an expected value of the spin relaxation time is equal to the measured value of the spin relaxation time; or induce a magnetic field and to determine the thickness of the conductive feature in the sample at a known depth to be the thickness value for the thickness of the conductive feature for the conductive feature at the known depth and for which the expected value of the change of the magnetic field relative to the induced magnetic field is equal to the measured value of the change of the magnetic field relative to the induced magnetic field.
6. The metrology device according to claim 1, configured to detect a void or defect in a conductive feature in the sample by: determining that a detected spin relaxation time deviates from a reference value for the conductive feature; or inducing a magnetic field and determining that a detected magnetic field deviates from a reference value for the conductive feature.
7. The metrology device according to claim 1, configured to detect a deviation of a material property of a conductive feature in the sample by: determining that a detected relaxation time deviates from a reference value for the conductive feature; or inducing a magnetic field and determining that the detected magnetic field deviates from a reference value for the conductive feature.
8. The metrology device according to claim 1, comprising: a microwave antenna arranged near the diamond tip; and a microwave signal generator to supply the microwave antenna with a microwave signal.
9. The metrology device according to claim 1, comprising: a magnetic coil; a current generator to supply the magnetic coil with supply-current to induce an magnetic field in the sample; and a frequency control unit to control an operational frequency of the current generator, wherein the frequency control unit is configured to subsequently select mutually different operational frequencies to perform a frequency sweep or to cause the current generator to generate a supply current having at least a first component and a second component of mutually different frequency, and wherein the signal processor comprises signal processor components to determine respective changes in a magnetic field for a lateral position near the surface of the sample resulting from a source magnetic field for respective mutually different magnetic field frequencies, and to determine material properties of a material at the lateral position in the sample from the determined respective changes.
10. The metrology device according to claim 9, further comprising a permanent magnet to provide a background magnetic field in the diamond tip.
11. A method for determining metrological characteristics of a sample with conductive features embedded in a layer of a material or a combination of materials having a conductivity different from that of the conductive features, the method comprising: carrying the sample; displacing a probe relative to the sample, along a surface of the sample, the probe having a diamond tip with one or more nitrogen-vacancy centers; irradiating the diamond tip with photon radiation to excite the diamond tip to emit fluorescent light; optically sensing the diamond tip and providing a sense signal indicative of an intensity of fluorescent light emitted by the diamond tip; processing the sense signal to compute at least one characteristic of a feature present in the sample; subjecting, during the irradiating, the sample to a source magnetic field with at least a first frequency and a second frequency, which are mutually different; and analyzing the sensed signals for each of the at least the first frequency and the second frequency to identify a material present in the sample near the diamond tip.
12. The metrology device according to claim 2, which is configured to: measure a spin relaxation time and to determine a critical dimension for the distance between subsequent conductive features in the sample in a lateral direction as a distance in the lateral direction for which the measured spin relaxation time exceeds a predetermined relaxation time threshold value; or induce a magnetic field and to determine the critical dimension for the distance between the subsequent conductive features as the distance in the lateral direction for which the measured value of the change of the magnetic field relative to the induced magnetic field is less than a threshold value.
13. The metrology device according to claim 2, which is configured to: measure a spin relaxation time and to determine a depth of a conductive feature in the sample having a known thickness to be the depth value for the depth of the conductive feature for a conductive feature having the known thickness and for which an expected value of the spin relaxation time is equal to the measured value of the spin relaxation time; or induce a magnetic field and to determine the depth of the conductive feature in the sample having a known thickness to be the depth value for the depth of the conductive feature for the conductive feature having the known thickness and for which an expected value of the change of the magnetic field relative to the induced magnetic field is equal to the measured value of the change of the magnetic field relative to the induced magnetic field.
14. The metrology device according to claim 2, which is configured to: measure a spin relaxation time and to determine a thickness of a conductive feature in the sample at a known depth to be the thickness value for the thickness of the conductive feature for the conductive feature at the known depth and for which an expected value of the spin relaxation time is equal to the measured value of the spin relaxation time; or induce a magnetic field and to determine the thickness of the conductive feature in the sample at a known depth to be the thickness value for the thickness of the conductive feature for the conductive feature at the known depth and for which the expected value of the change of the magnetic field relative to the induced magnetic field is equal to the measured value of the change of the magnetic field relative to the induced magnetic field.
15. The metrology device according to claim 3, which is configured to: measure a spin relaxation time and to determine a depth of a conductive feature in the sample having a known thickness to be the depth value for the depth of the conductive feature for a conductive feature having the known thickness and for which an expected value of the spin relaxation time is equal to the measured value of the spin relaxation time; or induce a magnetic field and to determine the depth of the conductive feature in the sample having a known thickness to be the depth value for the depth of the conductive feature for the conductive feature having the known thickness and for which an expected value of the change of the magnetic field relative to the induced magnetic field is equal to the measured value of the change of the magnetic field relative to the induced magnetic field.
16. The metrology device according to claim 3, which is configured to: measure a spin relaxation time and to determine a thickness of a conductive feature in the sample at a known depth to be the thickness value for the thickness of the conductive feature for a conductive feature at the known depth and for which an expected value of the spin relaxation time is equal to the measured value of the spin relaxation time; or induce a magnetic field and to determine the thickness of the conductive feature in the sample at a known depth to be the thickness value for the thickness of the conductive feature for the conductive feature at the known depth and for which the expected value of the change of the magnetic field relative to the induced magnetic field is equal to the measured value of the change of the magnetic field relative to the induced magnetic field.
17. The metrology device according to claim 4, which is configured to: measure a spin relaxation time and to determine a thickness of a conductive feature in the sample at a known depth to be the thickness value for the thickness of the conductive feature for a conductive feature at the known depth and for which an expected value of the spin relaxation time is equal to the measured value of the spin relaxation time; or induce a magnetic field and to determine the thickness of the conductive feature in the sample at a known depth to be the thickness value for the thickness of the conductive feature for the conductive feature at the known depth and for which the expected value of the change of the magnetic field relative to the induced magnetic field is equal to the measured value of the change of the magnetic field relative to the induced magnetic field.
18. The metrology device according to claim 2, comprising: a microwave antenna arranged near the diamond tip; and a microwave signal generator to supply the microwave antenna with a microwave signal.
19. The metrology device according to claim 2, comprising: a magnetic coil and a current generator to supply the magnetic coil with supply-current to induce an magnetic field in the sample; and a frequency control unit to control an operational frequency of the current generator, wherein the frequency control unit is configured to select mutually different operational frequencies to perform a frequency sweep or to cause the current generator to generate a supply current having at least a first component and a second component of mutually different frequency, and wherein the signal processor comprises signal processor components to: determine respective changes in a magnetic field for a lateral position near the surface of the sample resulting from a source magnetic field for respective mutually different magnetic field frequencies, and determine material properties of a material at the lateral position of the sample from the determined changes.
20. The metrology device according to claim 19, further comprising a permanent magnet to provide a background magnetic field in the diamond tip.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0039] These and other aspects are described in more detail with reference to the drawing. Therein:
[0040]
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DETAILED DESCRIPTION OF EMBODIMENTS
[0054] Like reference symbols in the various drawings indicate like elements unless otherwise indicated.
[0055]
[0056] The SPM controller 32 is configured to position the probe 20 in a direction z transverse to the sample S, for example to maintain the probe in contact with the surface Ssf of the sample S at a predetermined static force or to maintain the probe close above the surface Ssf for example in a shear-force mode (or oscillating with a predetermined amplitude above the sample for example in a tapping mode). The SPM controller 32 is controlled by the signal processor 60 with a signal C32 to select a particular mode of operation.
[0057] The probe 20 has a diamond tip 21 with one or more nitrogen-vacancy (NV) centers. The radiation source 40 irradiates the tip with radiation to excite the tip to emit fluorescent light. The optical sensor 50 provides a sense signal S50 indicative of an intensity of the emitted fluorescent light. A confocal imaging member 45 maps the radiation irradiated by the radiation source 40 onto the tip and maps the fluorescent light emitted by the tip onto the optical sensor 50. The signal processor 60 process the sense signal S50 to compute an extent of a feature present in the sample S.
[0058] An exemplary embodiment of the optical components of the metrology device of
[0059]
[0060]
[0061]
[0062] In operation, the scanning mechanism 30 (See
[0063] During a relative displacement in a lateral direction, e.g. in the direction x, or at mutually different relative lateral positions of the sample S and the probe 20 the following is performed.
[0064] In an embodiment, at each relative lateral position, the spin relaxation time T1 is measured. Then the signal processor 60 processes the sense signal S50 to compute a dimension of a feature present in the sample. Although various NV-based measurement approaches are available, T1 relaxometry is considered the best option as it is specifically suitable to sense the magnetic noise from the random movement of electrons in a metal at a few GHz. The various T1 relaxometry methods have in common that the NV center is polarized with a laser pulse (having a duration in the order of few s). After a waiting time, another laser pulse (normally shorter) is applied to read-out the spin state of the NV center. This laser pulse excites the NV center. The resulting fluorescence is recorded and compared to the reference obtained at t=0. This procedure is repeated for several waiting times (t) to extract the relaxation time. Variations to this method can be also done, e.g. by adding a microwave pulse before readout. Small magnetic noises due to electron movements in a material will cause the NV spin to relax. The amount of spin relaxation therewith depends on the magnetic noise spectral density. i.e. the more noise, the faster the pace at which relaxation occurs. This implies that features with high conductivity (e.g. metals) will cause the spin to relax faster than features with lower conductivity (e.g. non-metals), due to their free electrons moving around and making more magnetic noise than non-conductive features.
[0065] In those regions in the lateral direction between the metal features M1, the spin relaxation time T1 is relatively large. In the regions where the metal features M1 are present, the spin relaxation time T1 drops below a reference level Tr. Therewith the signal processor 60 determines that the regions for which the spin relaxation time T1 is less than the reference level Tr as having the metal feature M1 and the regions where the spin relaxation time T1 is greater than the reference level Tr as not having the metal feature. The critical dimension CD1, i.e. the width of the metal feature, is determined as the length of the range in the lateral direction where the spin relaxation time T1 is less than the reference level Tr. The critical dimension CD2, i.e. the distance between subsequent metal features, is determined as the length of the range in the lateral direction where the spin relaxation time T1 exceeds the reference level Tr. By way of example, close to the metal features a spin relaxation time T1 in the order of 1 ms is measured, whereas in a region between subsequent metal features, the spin relaxation time is in the order of 5 ms.
[0066]
[0067] Therein d.sub.nv,t is the distance from the NV-center to the tip, and d.sub.t,s is the distance from the tip to the surface of the sample.
[0068] Also it is shown in this example how the thickness t.sub.f, herein denoted as CD4, of the metallic feature/film M12 over a dielectric background is determined. The relationship between the features d, t.sub.f on the hand and the relaxation rate .sub.met is provided by the following expression:
[0069] Therein. [0070] .sub.met is the metal-induced NV center relaxation rate [0071] : is the conductivity of the metal [0072] .sub.0: is the vacuum permeability [0073] k.sub.B: is the Boltzmann constant [0074] T: is the temperature [0075] : is the electron gyromagnetic ratio
[0076] Provided that the depth d of a feature is known, this relationship can be used to determine the thickness t.sub.f of the feature with a component 61 (See
[0077] In an illustrative example, the sample has lateral dimensions of 55 mm, and the scanning mechanism 30 provides for a scanning range of 50 m50 m in the x-y plane. However any other lateral dimensions are conceivable. The same principles would apply for example when applied to a full wafer with a cross-section of 450 mm. Furthermore, the scanning range can be selected from a larger range by a manual setting. Alternatively or additionally, the scanning mechanism 30 may provide for a larger scanning range when desired. The SPM controller 32 is capable to position the probe 20 within a scanning range in the direction z of 2 m at a bandwidth of 50 kHz to maintain the tip 21 in a contact mode or a tapping mode or at a predetermined distance to the sample dependent on a selected setting. In other examples the z-scanning range may be larger, e.g. up to 15 m. Alternatively or additionally, the z-scanning range can be selected from a larger range by a manual setting. In the embodiment shown, the radiation source 40 is a laser having a wavelength of 515 nm and an output power of 150 mW. Output noise in the wavelength range of 250 Hz-2 MHZ (rms) is less than 0.2%. The optical sensor 50 is a photon counter having a detection efficiency over the NV emission band of 67%. The fluorescence collection efficiency from the NV center up to and before the optical sensor is about 1.7%. In a DC magnetometry operational mode the sensitivity of the metrology device is in a range of 1-10 T/Hz at a resolution of 10-20 nm.
[0078] It is noted that the scanning mechanism 30 may perform a relative displacement in another lateral direction, e.g. in the direction y to determine critical dimensions in that direction. Alternatively, measurement data obtained for measurements obtained from scanning in the x-direction for mutually different values can be used for that purpose.
[0079] It is further noted that various signal processing operations may be applied to the sense signal S50. For example a deconvolution operation may be applied to compensate for a pointspread function involved in the imaging method.
[0080] An alternative mode of operation of the metrology device of
[0081] Reference is first made to
[0082] Upon irradiation of the NV-center with a suitable wavelength, e.g. less than 550 nm, transitions occur from the ground states to their corresponding exited states. These transitions are followed by a reverse transition to the corresponding ground state. Therewith a photon is emitted at a wavelength of about 637 nm. Instead of this reverse transition a transition may occur from an excited state to the singlet state succeeded by a transition from the singlet state to the ground state with spin 0. This sequence of transitions is more likely to occur as an alternative for the direct transition from a non-zero spin excited state than as an alternative for the direct transition from the zero spin excited state. I.e. the transition from the excited zero-spin state will almost always take place in a direct manner, i.e. as a direct transition to the zero-spin ground state. Contrary thereto, the transition from a non-zero spin excited state will in about 30% of the cases take place indirectly, via the singlet state. The indirect transition is non-radiative and therefore not detectable in the visible range.
[0083] Upon subjecting the NV-center to micro-wave (MW) radiation having a frequency corresponding to the energy gap between the zero-spin ground state and a non-zero spin ground state, a transition is induced from the zero-spin ground state to the non-zero spin ground state. This also implies that the irradiation causes a transition from the non-zero spin ground state to the non-zero spin exited state. As mentioned above, starting from the non-zero spin excited state, there is a substantial probability that the reverse transition will not take place directly, but will take place via the singlet state without an emission in the visible range. This effect is illustrated in
[0084] As illustrated in
[0085] As shown in
f=2B
[0086] Therewith the scanning mechanism 30 displaces the probe 20 relative to the sample, along a surface of the sample, in this case by translating the sample carrier 10 in the x-y plane while the sweeping microwave signal generator 70 supplies the microwave antenna 72 with a microwave signal of varying frequency. The signal processor 60 determines at the scanned locations of the sample for which microwave frequencies a reduction in the luminance of the NV-center occurs, and therewith computes the magnetic field as a function of the position. In one embodiment the sweeping microwave signal generator 70 performs the frequency sweep in a frequency range which is exclusively at one side of the center frequency, e.g. from 2700 MHz to 2870 MHz, or from 2870 MHz to 3100 MHz. This is advantageous in that the range can be relatively modest, which may be more cost-effective. Alternatively, it may be configured to perform the frequency sweep bilaterally, e.g. in a range from 2700 to 3100 MHz, which is advantageous in that the magnitude of the magnetic field can be estimated from two measurements, i.e. the lower frequency and the higher where the photoluminescence is minimized, which contributes to an accuracy of the determination. According to another approach, the frequency of the microwave signal is maintained at a constant value, and the photoluminescence amplitude changes resulting from the local magnetic field is monitored. In this case the strength of the local magnetic field is computed from the monitored photoluminescence amplitude observed for the fixed microwave signal frequency. According to a still further approach the controller tracks the frequency at which a minimum photoluminescence response is achieved. An example thereof is shown in
[0087]
[0088]
[0089]
[0090] In the simulation results for copper (a, . . . , f), it can be observed that for low frequencies the computed difference dB is in the order of magnitude of 0.2 T. This difference is explained due to the fact that copper is diamagnetic, having a relative permeability of 0.999994. For frequencies of 100 kHz and higher the magnitude of the difference dB increases. For 100 kHz the difference dB is increased to about 0.3 T. For a frequency of 1 MHz, the difference dB is increased to about 3 T. This increase is explained by the Eddy current effect which monotonously increases with the frequency.
[0091] In the simulation results for tungsten (g, . . . , l), it can be observed that for low frequencies the computed difference dB is in the order of magnitude of 2.2 T. This difference is explained due to the fact that tungsten is paramagnetic, having a relative permeability of 1.000068. Also for high frequencies an increase of the difference dB is observed, but this increase is less prominent than for copper. For a frequency of 1 MHz, in the case of the tungsten disk of radius 2500 nm and thickness of 100 nm the difference dB increases from about 2.3 to about 2.4 T. This is due to the fact that tungsten, due to its larger relative permeability as compared to copper already causes a relatively high change dB in the magnetic field and to the fact that the conductivity of tungsten is only about 0.3 times that of copper.
[0092] From the simulations it is apparent that the sample characterization device with the signal processing device of
[0093] As another example wherein the material used in a feature is known, a detected deviation between the response as measured and the expected response can be used as an indication for a possible defect of the feature. For example reference measurement data may be available for conductive interconnects, and a detected deviation of measurement data of a specific interconnect in the sample is indicative for a defect or a void within that specific interconnect. The magnitude of the deviation may further be indicative for the size of the defect or the void.
[0094] As another example, which is demonstrated with reference to
[0095] As a first example it is shown that the critical dimension CD1, i.e. the lateral size of a conductive feature M1 is determined as the distance in the lateral direction for which the measured value dB exceeds a threshold value Btr.
[0096] As a second example it is shown that the critical dimension CD2, i.e. the lateral distance between successive conductive feature M1 is determined as the distance in the lateral direction for which the measured value dB is less than a threshold value Btr.
[0097]
[0098] Analogously, in a fourth example shown in
[0099] It is noted that metrology can be performed alternatively on the basis of a measurement of the relaxation time. As demonstrated above with reference to
[0100] Similarly, as further demonstrated above with reference to
[0101] Further, as an alternative of the third example the depth CD3 of a conductive feature M11 having a known thickness CD4 is determined to be the depth value for CD3 for a conductive feature having the known dimensions and for which the expected value of the relaxation time T1 is equal to the measured value of the relaxation time.
[0102] Analogously, as an alternative for the fourth example, the thickness CD4 of a conductive feature (M12) at a known depth CD3 is determined to be the thickness value for CD4 for a conductive feature at the known depth and for which the expected value of the relaxation time T1 for the corresponding lateral dimension is equal to the measured value of the relaxation time T1.
[0103] In a still further example, the inventive metrology device is configured to detect a void or defect in a conductive feature. In one embodiment it is configured for this purpose by determining that the detected relaxation time deviates from a reference value for said conductive feature. In another embodiment it is configured for this purpose by determining that the detected magnetic field deviates from a reference value for said conductive feature. In a still further embodiment it is configured to detect a void or defect by using both input data indicative for a deviation of a detected relaxation time and input data indicative for a deviation of a detected magnetic field.
[0104] In again another example the inventive metrology device is configured to detect a deviation of a material property of a conductive feature. In one embodiment it is configured for this purpose by determining that the detected relaxation time deviates from a reference value for said conductive feature. In another embodiment it is configured for this purpose by determining that the detected magnetic field deviates from a reference value for said conductive feature. In a still further embodiment it is configured to detect a deviation of a material property of a conductive feature by using both input data indicative for a deviation of a detected relaxation time and input data indicative for a deviation of a detected magnetic field.
[0105] While the present invention has been described with respect to a limited number of embodiments, those skilled in the art will appreciate numerous modifications and variations therefrom within the scope of this present invention as determined by the appended claims