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Substrate PZT Mediation layer Quartz Multilayer mirror Voltage Voltage a)

Optics for Lithography

at Extreme UV Wavelengths

Alexander Antonov

Laser pulse Lens Wafer Plasma plume Target Vacuum chamber

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Professional Doctorate in Engineering

Thesis defense:

Smart Multilayer Interactive Optics for Lithography

at Extreme UV Wavelengths

Tuesday 27

th

June, 14:30

University of Twente

The Netherlands, Enschede

by

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Contents

1. Introduction 4 1.1. Motivation 4 1.2. Photolithography process at EUV wavelengths 4 1.2.1. Multilayer mirror 6 1.3. SMILE project 7 1.3.1. SMILE device 7 1.3.2. Pulsed Laser Deposition technique 8 1.3.3. Metrology equipment 9 2. Mediation layer – vital component of a SMILE device 9 2.1. Introduction for the mediation layer 9 2.2. TiO as a mediation layer 11

2.2.1. Experimental part 12 2.3. Results 12 2.3.1. TiO Conductivity 12 2.3.2. Surface roughness optimization 14 2.3.3. Patterning 16 Conclusion

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1. Introduction 1.1.Motivation

Our world is a theater scene, where performance of life components occurs. Such theater acts acquire more interest when they are well visible. The use of light is essential here. It will allow us to watch the performance of bacteria in the micro world. A high-quality image of the object will reveal the information. Using both the light properties and physics knowledge, is possible to copy and transfer the information about the object. The more detail, the more information can be transferred. Both quality and information transfer can be collected and arranged on small areas. Already in the beginning of the 19th century this knowledge was used in a similar information-reproduction process – photography.

The design work reported in the present thesis deals with an optical system and the very short, Extreme UV light that are used for the production of semiconductor devices in great detail.

1.2. Photolithography process at EUV wavelengths

Nowadays modern technologies utilize a process where the pattern of a complex electronic integrated circuit is imaged from a mask to a light-sensitive layer of photoresist covered on a semiconductor wafer. The next steps are development of the photoresist, etching with liquids and deposition with patterns. By repeating these procedures a 3D structure is created that can be used as an electronic device. This process based on imaging using light to a semiconductor wafer was named photolithography.

Electronic devices play important role in modern life. These devices help us to solve different complex tasks that occur every day. Therefore it is needed to improve electronic devices, consequently the process to create them, namely – the photolithography technique.

In the sixties the first micro sized electrical circuits appeared, at about 1/100 of a human hair. Presently it is possible to produce features of 22 nm size using the modern photolithography technique. The miniaturization enables fabrication of more compact, more energy sufficient and more powerful electronic devices. Such advantages of miniaturized ICs explain also the desire of the semiconductor industry to further reduce the chip feature sizes.

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According to Moore’s law the number of transistors on a chip is doubled about each two years. The users of the chips, built into processing devices, demand that miniaturization keeps progressing as fast as possible. The minimum feature size in lithography is limited by the wavelength used in the pattern imaging process. This limitation bases on diffraction – the fundamental property of waves to spread out during propagation. A way to reduce the undesired spread which is corresponding to a loss of information is to use shorter wavelengths. The shortest wavelength presently used is 13.5 nm, known as Extreme Ultra Violet (EUV) radiation. To produce EUV light a Sn-plasma source is used [16, 17]. The next step could be a light source which can produce light at even shorter wavelength around 6.7 nm [18].

For imaging and transferring EUV light from the light source to the wafer an optical system as shown on Fig. 1 is used in the industry. It consists of a collector mirror and a system of for example 10 multilayer mirrors: illuminator mirrors that enable uniform illumination of the mask containing the pattern to be imaged and projection optics to image a mask pattern to the wafer. This high number of mirrors in the projection part is required to obtain a high resolution in combination with a sufficiently large image field.

Figure 1. Schematic representation of the 10-mirror optics in an EUV lithography tool.

Mirrors play one of the most important roles in the discussed photolithography process. Each mirror has its own specification, but all of them should consist of a multilayer stack to reach the highest possible reflectance.

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1.2.1. Multilayer mirror

For achieving high optics reflectivity multilayer mirrors are used. Usually such mirrors consist of a stack of two different materials alternatively placed on top of each other. In order to have maximum reflection in a specific wavelength range, the materials are chosen to offer the largest difference in their refraction coefficients, while ensuring the lowest possible absorption coefficients [1, 3]. The materials with high and low refraction coefficients are usually referred to as the absorber and spacer layers and are shown with dark and light blue in Figure 2.

d θ

Figure 2. Multilayer mirror

The explanation for this application can be found in Bragg’s law [2]. The partially reflected beams add up constructively when the bilayer period, d, is chosen according to Bragg condition:

𝑚𝜆 = 2𝑑𝑠𝑖𝑛𝜃

where m is the diffraction order, λ is the wavelength, θ is the grazing angle of incidence.

At near normal incidence at EUV wavelengths, the period of the multilayers equals approximately half of the wavelength [4]. Therefore each layer is extremely thin, in the nanometer range. Certainly the production of such thin bi-layers combined in a multilayer structure is not so straight forward. The progress in this field requires understanding of the physical processes taking place during, and also after layer deposition, during usage of the mirrors. The understanding includes critical nanoscopic parameters such as the roughness at the bilayer interface, the composition and morphology of the layers, and the thickness of the interfacial layer that inevitably forms during deposition. All of these parameters have been optimized so far using techniques like ion-smoothing, and using capping layers or barrier layers that control or prevent interfacial layer formation.

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Today these techniques have enabled to go to 13.5 nm wavelength and reach the reflectance record of 70.3%[5], and 64.1% at 6.7nm [6].

1.3. SMILE Project

Photolithography at Extreme UV wavelength represents today’s most advanced optical imaging method. Yet this technique show a true challenge for optics development: tenth-nanometer precision is required for the optics accuracy and positioning, while at the same time kilowatt-power EUV light sources cause tremendous thermal loads on the optics.

Temperature changes could lead to a change in the mirror substrates or the multilayer coatings that in turn result in distortion of the reflected wavefronts, degradation of the mirror reflectance. These distortions and degradations can significantly reduce the optical resolution and performance of the overall lithography system. Obviously, there is a strong need for optical components that could compensate for such effects.

A solution to this challenge is to add adaptive optical functionality. This is the subject of the SMILE research project, which is carried out together with ZEISS, the optics partner of ASML.

A first exploration of Smart Multilayer Interactive Optics for Lithography at Extreme UV Wavelengths (SMILE) has successfully been executed. Based on this, a new multilayer composition is proposed, including piezo-electric layers that allow to interactively manipulate the periodic Bragg structure. Steering such layers with external electrical signals will allow wavefront corrections and localized optical changes with precision down to the tens-nanometer range.

1.3.1. SMILE device

A ‘SMILE-like’ device is placed under the multilayer mirror structure and is situated on the substrate as it shown in Figure 3a. As a substrate material the Ultra-Low Expansion (ULE) glass was used in this example. A piezo electrical material is between red layers – the electrodes where the voltage is applied. Actuation of the PZT layer (PbZrTiO3) by electrodes will result in a vertical stroke of the

surface directly under the top electrodes (named piezo response or d33 effect in the following text). The quartz layer makes a flat surface for the further mirror coverage.

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A simple capacitor of PZT is an electrically controlled piston with angstrom-level precision. An example is shown in Figure 3b, a simple piezoelectric piston measured by White Light Interferometry (WLI). Different line’s colors correspond to the applied voltages and consequently various piezo responses as indicated on the graph. A ‘sharp step’ can be seen next to the area of the electrode.

The present project deals with a method to smoothen this effect where some of EUV light can be lost. In chapter 2 a solution to this issue is introduced.

Substrate PZT Quartz Multilayer mirror Voltage Voltage a)

Figure 3. a) SMILE device. b) WLI measurement of piezo response at different applied voltages

1.3.2. Pulsed Laser Deposition technique

With the Pulsed Laser Deposition (PLD) method, thin films are prepared by the ablation of a target illuminated by a focused pulsed-laser beam. This method is used in the SMILE project. A schematic view of a PLD is shown in Figure 4. The ablated material particles are deposited on a substrate, placed opposite to the target, resulting in thin film growth. This method is used for the easy stoichiometric transfer of material from the target to substrate at high ambient pressure. That’s why PLD is frequently used for the fabrication of complex oxide thin films.

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9 Laser pulse Lens Substrate Plasma plume Target Vacuum chamber

Figure 4. Schematic view of a PLD set-up

Another unique feature of PLD is the high deposition rate. Typical deposition rates range from 0.1 nm/pulse [7, 8] with deposition pulse duration in the order of several µs to ~500 µs. The deposition rate can be as high as 102 - 105 nm/sec [9, 10].

1.3.3. Metrology equipment White Light Interferometry

To measure a surface profile (height of piezo response) a White Light Interferometry Zygo [13] was used. Its interferometry principle is discussed elsewhere [14]. This method is suitable for the present investigation since it has an Angstrom accuracy in the vertical direction during a static measurement.

Atomic Force Microscope

Roughness of layers is an important parameter since roughness will affect the subsequently grown films. To measure roughness the Atomic Force microscope Bruker was used. The operational principle is discussed elsewhere [15].

2. Mediation layer – vital component of a SMILE device 2.1. Introduction for the mediation layer

As it was discussed in this report before we need to avoid a ‘sharp step’ between the actuated electrodes in order to minimize losses in the reflected light. Such profile is observed since there is no electrical field in the gap between the moving ‘pistons’. A solution for this issue was proposed in the first phase of the SMILE project. To overcome this behavior a mediation layer can be used to smoothen the electric field in the lateral direction. Figure 5 introduces a schematic

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overview of the structure with mediation layer and electrical field distribution for two different voltages applied.

Substrate PZT Mediation layer Quartz Multilayer mirror Voltage Voltage a) Top electrode Top electrode Mediation layer

Bottom electrode Substrate V1 V2<V1 E PZT b) i

Figure 5. a) Schematic overview of the SMILE device. b) Schematic overview using a mediation layer.

By placing a poorly-conducting layer of material as mediation layer above the piezoelectric layer and between the electrodes, this will allow small currents to flow from the point defined at high voltage to the point defined at low voltage in Fig. 5. The current, while low, is sufficient to cause a gradual voltage drop from the point of high potential to the point of low potential. The PZT layer under mediation layer will experience this gradually varying electric field and actuate accordingly. The end result will be a surface that has continuous interpolation between the electrodes in which the voltage is defined, an analogue to membrane-based wavefront correctors. Figure 6 [24] shows a difference in the work of the SMILE device with and without mediation layer.

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Figure 6. Piezo response with and without mediation layer made with finite-element modelling software COMSOL

LaCoO (LCO) material was proposed and tested in the past as a potential material for the role of ML. LCO layer has successfully validated the concept of the mediation layer principle. With electrical conductivity of 15 (Ohm·m)-1 and thickness of 100 nm, the LCO layer performs the desired function.

2.2.TiO as a mediation layer

As was discussed in the introduction, we would like to develop a mediation layer that will smoothen the lateral electric potential over the PZT layer. Such layer made out of LCO material was developed in the past. But LCO layer has a low electrical conductivity of 15 (Ohm·m)-1. Under this layer the PZT response is in the range of milliseconds while the desirable rate is in the microseconds range. Therefore we need to find another material with higher conductivity that would allow a faster operation. By way of example, a material with conductivity of about 100 – 1000 (Ohm·m)-1 could deliver high enough piezo response rate.

Pure metals have too high electrical conductivity, which would lead to undesired heating and thermal deformation of the thin layers. TiO was found to be the most promising candidate to test. During PLD of oxide thin film, the stoichiometry of films may be controlled by the partial oxygen pressure during the growth [11]. The flux of oxygen atoms reaching the surface of the growing film depends on the oxygen partial pressure PO2 in the ablation chamber, and as a

result the incorporation of oxygen atoms in oxide films is limited when PO2 is

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growth leads to the oxygen vacancies. This property of the TiO growth is used to control the electrical property of the film.

2.2.1. Experimental part

In the experiment described here, a KrF excimer laser (Lambda Physic CompexPro 205) delivering wavelength λ=248 nm with a ~25 nsec pulse duration was used to ablate a bulk TiO ceramic target under 45˚ incidence in our PLD system. A mask (with a rectangular slit of 102 mm2) was used to select the homogeneous part of the laser beam. The energy density of the laser beam was in the range of 2–3 J/cm2 with a repetition rate of 5 Hz.

Before the PLD process, the ablation chamber was evacuated to a base pressure of 10-5 mbar. The growth was carried out in the environment under controlled oxygen (purity >4.5) gas pressure of 10−1 mbar, allowing the formation of titanium oxide films with different oxygen contents. The oxygen deficient titanium oxide was applied directly after the PZT in a PLD process, without cooling down and removing the vacuum. The sample was heated up to 500˚ C. After deposition the films were cooled down to ambient under the partial oxygen pressure used for the growth.

At the oxygen pressure of 10−1 mbar the TiO film is oversaturated with oxygen atoms that leads to low conductivity. To reduce the amount of oxygen we used the following procedure. Both the oxygen inlet flow and the exhausting pump flow rate were fixed to keep the overall pressure in the chamber of 10−1 mbar. Then to control the partial pressure of oxygen, N2 gas was introduced

in the chamber. The higher amount of N2 was introduced, the lower the O2 partial

pressure was in the chamber. The optimal nitrogen input flow rate was found to be in the range of 10–15 sccm. This procedure allowed us to obtain the conductivity that meets the requirement.

2.3.Results

2.3.1. TiO conductivity

The electrical conductivity of a top TiO layer was measured with a four-point probe method [19]. The measurement was repeated with different samples 5–7 h after a deposition, in 1 week and in 1 month. Each measurement showed the same conductivity value for a correspondent sample. It means the electrical properties of TiO are stable in time. The experimental results are shown in Figure 7 as a

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dependence of an electrical conductivity on nitrogen flow rate. The blue squares correspond to the experimental data points; within the red ellipse a required conductivity range is indicated.

a)

b)

Figure 7. TiO electrical conductivity versus nitrogen flow rate. Graph a) corresponds to a full obtained range on the logarithmic scale. Graph b) – zoomed in to the required

conductivity range

The required conductivity range between 100 – 1000 (Ohm·m)-1 was aimed by TiO with an assistance of nitrogen. Since the shown dependence on the graph has an exponential change the nitrogen amount should be applied with a high accuracy between 11 – 14 sccm. 4 6 8 10 12 14 0 200 400 600 800 1000 1200 1400 Cond uctivity (Oh m*m)^ -1 Nitrogen f.r. (sccm) 4 6 8 10 12 14 16 18 20 0,01 0,1 1 10 100 1000 10000 Cond uctivity (Oh m*m)^ -1 Nitrogen f.r. (sccm)

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2.3.2. Surface roughness optimization

Another requirement to the mediation layer is a surface roughness. Too high value would have a negative effect on the next sputtered platinum layer since it is limited by 100 nm of the thickness. Also a high roughness could create a shadow during platinum sputtering, which means that platinum layer had ‘non homogeneous’ electrical contact with the ML. That is why a mediation layer should have a roughness as low as possible.

However there is no specific value for this parameter. Based on the characteristic of previous LCO layer the maximum limit was defined as high as 5 nm.

AFM measurement was done for the LNO/PZT/TiO sample on the silicon substrate covered with nanosheets. Figure 8 shows the TiO surface with required conductivity of 450 S/m.

Figure 8. AFM image of TiO layer deposited with laser energy density of 2 J/cm2

The brown square shows a microscopic view of 3x3 µm on the TiO layer. The graph below shows a line scan corresponding to the white line that crosses a

He ig ht , nm Lateral size, µm

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few high dots. OY axis denotes height (nm) and OX lateral size (µm). The height of such droplets and root mean square (RMS) roughness are ~50 nm and 10.6 nm correspondently that is unacceptable.

A solution to this issue was found in the literature [20]. Higher laser energy heats ejected material and provides expansion into the vacuum with less condensing into nanoparticles. Therefore the ejected atomic species are able to build up a smoother film.

For the next depositions all experimental conditions were kept the same and just the laser beam energy density was increased from 2 up to 6 J/cm2 with a spot size of 2 mm2.

Figure 9 shows AFM image of the sample (the same architecture, electrical conductivity and designations as Figure 8) where TiO layer was deposited with a higher energy. The amount and height of droplets was reduced significantly. Although the mediation layer has occasional droplets as high as 15 nm, the overall RMS roughness is 4.4 nm.

Figure 9. AFM image of TiO layer deposited with laser energy density of 6 J/cm2

He ig ht , nm Lateral size, µm

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2.3.3. Patterning

The final demo sample is supposed to have the electrodes between Mediation and Quartz layers where an external electrical voltage is applied. The platinum electrodes layer was developed during the SMILE phase 1.

An application of platinum electrodes is done with a photolithography technique where a lift-off process takes place while the platinum is sputtered.

Unexpectedly after the patterning procedure the electrical conductivity of TiO reduced by about a factor of 10. Also the piezo response reduced by a similar factor while the PZT crystalline structure was kept the same.

The suggested reasons for this negative effect are the following:

- A sample is transported from the PLD set-up to the lithography equipment via atmosphere. That may result in a formation of an oxygen rich layer on the top of fabricated TiO layer. Consequently the platinum layer has a poor electrical connection with this layer.

- TiO has semiconductor properties which makes a negative effect in the present work. On contact between the metal platinum and semiconductor TiO a Schottky barrier is created because of the difference in the electron work functions of Pt and TiO. Platinum has a larger work function (5.5 eV) than TiO (3.8 eV) [21]. Electrons in Pt need to get a greater energy to be able to move via a Schottky barrier. A possible solution to this may be to replace the platinum with another metal which has a similar work function value to TiO, e.g. lanthanum (3.5 eV) and niobium (3.9 eV). Another possibility is the surface doping of TiO under the contact to locally modify the work function of TiO.

In spite of the observed issue with the electrical contact, TiO looks a promising candidate to apply as a mediation layer. The discussed suggestions should be studied during the next SMILE project stage.

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Conclusion

The present PDEng thesis is devoted to a design part of the SMILE project which is a part of a larger project on the multilayer optics for photolithography at Extreme UV wavelengths.

A general overview of photolithography for modern electronic devices and society is described here. The design cycle of an important component of the SMILE project is based on the Design Methodology and Systems Engineering approaches [22, 23]. We have been collaborating in this thesis research with industry (Zeiss SMT).

TiO as the material for the so-called mediation layer was found and a production recipe was developed. The main requirement to the electrical conductivity in the range of 100 – 1000 (Ohm·m)-1 was met and the roughness parameter was optimized.

The further optimization of the SMILE structure is required to get the proper electrical contact between the mediation layer and platinum electrodes. A possible way its implementation is proposed.

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References

1. E. Hecht, Optics (Addison Wesley, San Francisco, 2002)

2. D. Attwood, Soft x-rays and extreme ultraviolet radiation: principles and applications (Cambridge University Press, 2007)

3. M. Dekker, Thin Films for Optical Systems (Ecole Nationale Superieure de Marseille, 1995)

4. E. Spiller, Soft X-Ray Optics (SPIE, 1994).

5. E. Louis, A.E. Yakshin, T. Tsarfati, F. Bijkerk. Nanometer interface and materials control for multilayer EUV-optical applications. (Progress in Surface Science 86, 255-294, 2011).

6. D.S. Kuznetsov, A.E. Yakshin, J.M. Sturm, R.W.E. van de Kruijs, E. Louis, F. Bijkerk. High-reflectance La/B-based multilayer mirror for 6.x nm wavelength. (Opt. Lett. 40, 3778-3721, 2015).

7. H. Krebs, M. Weisheit, Jorg Faupel, E. Suske. Pulsed Laser Deposition (PLD) – a Versatile Thin Film Technique. (Institute fur Materialphysik, Universitat Gottingen, 37073, Germany).

8. D.B. Chrisey, G.K. Hubler: Pulsed laser deposition of thin films, (Wiley, New York 1994).

9. D.B. Geohegan, A.A. Puretzky, Appl. Phys. Lett. 67, 197 (1995). 10. M.Y Chern, A. Gupta, B.W. Hussey, Appl. Phys. Lett, 60, 3045 (1992). 11. M. Morcrette, A. Gutierrez-Llorente, A. Laurent, J. Perrière, P. Barboux, J. P.

Boilot, O. Raymond, and T. Brousse, Appl. Phys. A: Mater. Sci. Process. https://doi.org/APAMFC https://doi.org/10.1007/s003390050798 67, 425 (1998). Google Scholar CrossRef, CAS

12. R. Perez-Casero, J. Perrière, A. Gutierrez-Llorente, D. Defourneau, E. Millon, W. Seiler, and L. Soriano, Phys. Rev. B https://doi.org/PRBMDO

https://doi.org/10.1103/PhysRevB.75.165317 75, 165317 (2007). Google Scholar CrossRef

13. Web source:

https://www.zygo.com/?/met/profilers/&gclid=Cj0KEQjwhpnGBRDKpY-My9rdutABEiQAWNcslOoO25XQ7mziKoSknBDtms1ziD19SPNEU1at0XP4T oAaApg38P8HAQ. Last check: 13.03.2017.

14. De Groot, P. Principles of interference microscopy for the measurement of surface topography. Advances in Optics and Photonics 7, 1-65, 2015. 15. Binnig, G.; Quate, C. F.; Gerber, C. (1986). "Atomic-Force Microscope".

Physical Review Letters. 56: 930–933.

16. V.Y. Banine, K.N. Koshelev. Physical processes in EUV sources for

microlithography. Journal of Physics D: Applied Physics Vol. 44, No. 25, 2011. 17. David C. Brandt et al. LPP EUV source readiness for NXE 3300B. In: ed. by

Obert R. Wood and Eric M. Panning, 2014. 18. Web source: asml.com. Last check 28.08.2016.

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19 19. Heaney, Michael B. "Electrical Conductivity and Resistivity." Electrical

Measurement, Signal Processing, and Displays. Ed. John G. Webster. CRC Press, 2003. 7-1.

20. Briston J.C. Pulsed laser deposition of AlMgB14 thin films. Iowa State

University, 2008.

21. K. Hors. Physics handbook, Moscow 1980.

22. Wieringa, R. Design Science Methodology for Information Systems and Software Engineering. Springer, 2014.

23. Blanchard, B.S., Fabrycky W.J. (2014). Systems Engineering and Analysis (Pearson New International Edition). 5th ed., Essex: Prentice Hall.

24. B. Wylie-van Eerd. Adaptive optics at the angstrom scale: from discrete to continuous surface manipulation, the August 9th conference on Advances in

X-Ray/EUV Optics and Components X. Adaptive optics at the angstrom scale: from discrete to continuous surface manipulation, 2016.

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